Relevant bibliographies by topics / Bounded jumps

Academic literature on the topic 'Bounded jumps'

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Published: 10 December 2022
Last updated: 30 January 2023

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Journal articles on the topic "Bounded jumps"

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Dembo, Amir. "Moderate Deviations for Martingales with Bounded Jumps." Electronic Communications in Probability 1 (1996): 11–17. http://dx.doi.org/10.1214/ecp.v1-973.

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HOLLAND, DAVID M., RODOLFO R. ROSALES, DAN STEFANICA, and ESTEBAN G. TABAK. "Internal hydraulic jumps and mixing in two-layer flows." Journal of Fluid Mechanics 470 (October 31, 2002): 63–83. http://dx.doi.org/10.1017/s002211200200188x.

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Internal hydraulic jumps in two-layer flows are studied, with particular emphasis on their role in entrainment and mixing. For highly entraining internal jumps, a new closure is proposed for the jump conditions. The closure is based on two main assumptions: (i) most of the energy dissipated at the jump goes into turbulence, and (ii) the amount of turbulent energy that a stably stratified flow may contain without immediately mixing further is bounded by a measure of the stratification. As a consequence of this closure, surprising bounds emerge, for example on the amount of entrainment that may take place at the location of the jump. These bounds are probably almost achieved by highly entraining internal jumps, such as those likely to develop in dense oceanic over flows. The values obtained here are in good agreement with the existing observations of the spatial development of oceanic downslope currents, which play a crucial role in the formation of abyssal and intermediate waters in the global ocean.
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KANIGOWSKI, ADAM. "Ratner’s property for special flows over irrational rotations under functions of bounded variation." Ergodic Theory and Dynamical Systems 35, no. 3 (October 11, 2013): 915–34. http://dx.doi.org/10.1017/etds.2013.74.

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AbstractWe consider special flows over the rotation by an irrational$\alpha $under the roof functions of bounded variation without continuous, singular part in the Lebesgue decomposition and sum of jumps not equal to zero. We show that all such flows are weakly mixing. Under the additional assumption that$\alpha $has bounded partial quotients, we study the weak Ratner property. We establish this property whenever an additional condition (stable under sufficiently small perturbations) on the set of jumps is satisfied. While it is a classical result that the flows under consideration are not mixing, one more condition on the set of jumps turns out to be sufficient to obtain the absence of partial rigidity, hence mild mixing of such flows.
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KATE, R. P., P. K. DAS, and SUMAN CHAKRABORTY. "Hydraulic jumps due to oblique impingement of circular liquid jets on a flat horizontal surface." Journal of Fluid Mechanics 573 (February 2007): 247–63. http://dx.doi.org/10.1017/s0022112006003818.

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An obliquely inclined circular water jet, impinging on a flat horizontal surface, confers a series of hydraulic jump profiles, pertaining to different jet inclinations and jet velocities. These jump profiles are non-circular, and can be broadly grouped into two categories, based on the angle of jet inclination, φ, made with horizontal. Jumps corrosponding to the range (25° < φ≤ 90°) are observed to be bounded by smooth curves, whereas those corresponding to φ≤ 25° are characterized by distinct corners. The present work attempts to find a geometric and hydrodynamic characterization of the spatial patterns formed as a consequence of such non-circular hydraulic jump profiles. Flow-visualization experiments are conducted to depict the shape of demarcating boundaries between supercritical and subcritical flows, and the corresponding radial jump locations are obtained. Theoretical calculations are also executed to obtain the radial locations of the jumps with geometrically smooth profiles. Comparisons are subsequently made between the theoretical predictions and the experimental observations, and a good agreement between these two can be observed. Jumps with corners, however, turn out to be comprised of strikingly contrasting profiles, which can be attributed to the ‘jump–jet’ interaction and the ‘jump-jump’ interaction mechanisms. A phenomenological explanation is also provided, by drawing an analogy from the theory of shock-wave interactions.
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ADOUANI, ABDELHAMID, and HABIB MARZOUGUI. "Singular measures for classP-circle homeomorphisms with several break points." Ergodic Theory and Dynamical Systems 34, no. 2 (April 2012): 423–56. http://dx.doi.org/10.1017/etds.2012.133.

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AbstractLetfbe a classP-homeomorphism of the circle with break point singularities, that is, differentiable except at some singular points where the derivative has a jump. Letfhave irrational rotation number andDfbe absolutely continuous on every continuity interval ofDf. We prove that if the product of thef-jumps along any subset of break points is distinct from 1 then the invariant measureμfis singular with respect to the Haar measure. This result generalizes previous results obtained by Dzhalilov and Khanin, Dzhalilov, Akhadkulov, Dzhalilov–Liousse and Mayer. Moreover, we prove that if the rotation numberρ(f) is irrational of bounded type then (a) if the product of thef-jumps on some orbit is distinct from 1 then the invariant measureμfis singular with respect to the Haar measurem, and (b) if the product of thef-jumps on each orbit is equal to 1 andD2f∈Lp(S1) for somep>1 thenμfis equivalent to the Haar measure.
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Zhang, Yujie, Xiujuan Liu, Junxia Jiang, and Yongshan Xiao. "Dissipativity-based resilient asynchronous control for Markov jump systems with sector-bounded nonlinearities." Transactions of the Institute of Measurement and Control 40, no. 9 (May 9, 2018): 2821–30. http://dx.doi.org/10.1177/0142331218765295.

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The resilient asynchronous dissipative control problem for Markov jump systems with sector-bounded nonlinearities in the discrete-time domain are examined in this study. The jumps between the system modes and controller modes are considered to be nonsynchronous. The mode transition of the controllers is governed by a nonstationary Markov chain, which can model the asynchronous jumps to different degrees that are also mode-dependent. The nonlinear functions are assumed to belong to sector sets with arbitrary boundaries. The sector boundaries can have positive and/or negative slopes, and therefore, we cover the most general case in our approach. Using the special structure of the system and by constructing a new multiple Lyapunov function, sufficient conditions regarding the existence of desired resilient asynchronous dissipative controllers are obtained in terms of linear matrix inequalities, which ensure the closed-loop system is stochastically stable and strictly dissipative. The designed controller can tolerate additive uncertainties in the controller gain matrix, which results from controller implementations. A numerical example is presented to show the effectiveness of the proposed theoretical results.
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Chaikovs'kyi, A., and O. Lagoda. "Bounded solutions of a difference equation with finite number of jumps of operator coefficient." Carpathian Mathematical Publications 12, no. 1 (June 28, 2020): 165–72. http://dx.doi.org/10.15330/cmp.12.1.165-172.

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We study the problem of existence of a unique bounded solution of a difference equation with variable operator coefficient in a Banach space. There is well known theory of such equations with constant coefficient. In that case the problem is solved in terms of spectrum of the operator coefficient. For the case of variable operator coefficient correspondent conditions are known too. But it is too hard to check the conditions for particular equations. So, it is very important to give an answer for the problem for those particular cases of variable coefficient, when correspondent conditions are easy to check. One of such cases is the case of piecewise constant operator coefficient. There are well known sufficient conditions of existence and uniqueness of bounded solution for the case of one jump. In this work, we generalize these results for the case of finite number of jumps of operator coefficient. Moreover, under additional assumption we obtained necessary and sufficient conditions of existence and uniqueness of bounded solution.
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Chen, Guici, and Yi Shen. "Robust ReliableH∞Control for Nonlinear Stochastic Markovian Jump Systems." Mathematical Problems in Engineering 2012 (2012): 1–16. http://dx.doi.org/10.1155/2012/431576.

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The robust reliableH∞control problem for a class of nonlinear stochastic Markovian jump systems (NSMJSs) is investigated. The system under consideration includes Itô-type stochastic disturbance, Markovian jumps, as well as sector-bounded nonlinearities and norm-bounded stochastic nonlinearities. Our aim is to design a controller such that, for possible actuator failures, the closed-loop stochastic Markovian jump system is exponential mean-square stable with convergence rateαand disturbance attenuationγ. Based on the Lyapunov stability theory and Itô differential rule, together with LMIs techniques, a sufficient condition for stochastic systems is first established in Lemma 3. Then, using the lemma, the sufficient conditions of the solvability of the robust reliableH∞controller for linear SMJSs and NSMJSs are given. Finally, a numerical example is exploited to show the usefulness of the derived results.
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Shi, Peng, Carlos E. De Souza, and Lihua Xie. "Bounded real lemma for linear systems with finite discrete jumps." International Journal of Control 66, no. 1 (January 1997): 145–60. http://dx.doi.org/10.1080/002071797224865.

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Bujtás, Csilla, and Zsolt Tuza. "Color-bounded hypergraphs, VI: Structural and functional jumps in complexity." Discrete Mathematics 313, no. 19 (October 2013): 1965–77. http://dx.doi.org/10.1016/j.disc.2012.09.020.

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Dissertations / Theses on the topic "Bounded jumps"

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Cadotte, Patrick. "Robust bounded-input bounded-output stability of systems." Thesis, McGill University, 2005. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=100331.

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Two research problems involving the class of discrete-time signals bounded in magnitude are addressed in this thesis. The first problem concerns robust stability of systems with repeated, structured, linear time-varying, and induced-ℓinfinity-norm bounded perturbations. The second problem consists in the design of an ℓ₁-optimal controller that allows for flexible management of the tradeoff between the ability of a system to attenuate disturbance signals versus its expected worst peak-to-peak amplification. Original solutions to both problems are provided and their efficiency is assessed with examples and applications.
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Jalalzai, Khalid. "Regularization of inverse problems in image processing." Phd thesis, Ecole Polytechnique X, 2012. http://pastel.archives-ouvertes.fr/pastel-00787790.

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Les problèmes inverses consistent à retrouver une donnée qui a été transformée ou perturbée. Ils nécessitent une régularisation puisque mal posés. En traitement d'images, la variation totale en tant qu'outil de régularisation a l'avantage de préserver les discontinuités tout en créant des zones lisses, résultats établis dans cette thèse dans un cadre continu et pour des énergies générales. En outre, nous proposons et étudions une variante de la variation totale. Nous établissons une formulation duale qui nous permet de démontrer que cette variante coïncide avec la variation totale sur des ensembles de périmètre fini. Ces dernières années les méthodes non-locales exploitant les auto-similarités dans les images ont connu un succès particulier. Nous adaptons cette approche au problème de complétion de spectre pour des problèmes inverses généraux. La dernière partie est consacrée aux aspects algorithmiques inhérents à l'optimisation des énergies convexes considérées. Nous étudions la convergence et la complexité d'une famille récente d'algorithmes dits Primal-Dual.
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Schilling, René L., and Toshihiro Uemura. "On the Structure of the Domain of a Symmetric Jump-type Dirichlet Form." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-145198.

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We characterize the structure of the domain of a pure jump-type Dirichlet form which is given by a Beurling–Deny formula. In particular, we obtain su cient conditions in terms of the jumping kernel guaranteeing that the test functions are a core for the Dirichlet form and that the form is a Silverstein extension. As an application we show that for recurrent Dirichlet forms the extended Dirichlet space can be interpreted in a natural way as a homogeneous Dirichlet space. For reflected Dirichlet spaces this leads to a simple purely analytic proof that the active reflected Dirichlet space (in the sense of Chen, Fukushima and Kuwae) coincides with the extended active reflected Dirichlet space
Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich
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Vrljicak, Tomislav. "Reinforcement learning in stochastic games against bounded memory opponents." Thesis, McGill University, 2005. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=98512.

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Learning to play in the presence of independent and self-motivated opponents is a difficult task, because the dynamics of the environment appear to be non-stationary. In recent years there has been considerable amount of research in the field of Multi-Agent Learning, and some of this work has been in the context of Reinforcement Learning. One commonly used approach has been to restrict the opponent to a class of computationally bounded players, creating a parametrized model of it, and then search the model that can best explain the observed opponent behavior. In this thesis we study the problem of Reinforcement Learning in Stochastic Games, and propose two models for the opponent and two search algorithms, one based on Tests of Significance and the other on Maximum a Posteriori probabilities. We integrate the modeled opponent into a Markovian environment, and present an algorithm for solving the resulting MDP. Finally, we perform experiments on the effectiveness of the search algorithms.
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Schilling, René L., and Toshihiro Uemura. "On the Structure of the Domain of a Symmetric Jump-type Dirichlet Form." EMS Publishing House, 2012. https://tud.qucosa.de/id/qucosa%3A28135.

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We characterize the structure of the domain of a pure jump-type Dirichlet form which is given by a Beurling–Deny formula. In particular, we obtain su cient conditions in terms of the jumping kernel guaranteeing that the test functions are a core for the Dirichlet form and that the form is a Silverstein extension. As an application we show that for recurrent Dirichlet forms the extended Dirichlet space can be interpreted in a natural way as a homogeneous Dirichlet space. For reflected Dirichlet spaces this leads to a simple purely analytic proof that the active reflected Dirichlet space (in the sense of Chen, Fukushima and Kuwae) coincides with the extended active reflected Dirichlet space.
Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
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Sababheh, Mohammad Suboh. "Constructions of bounded functions related to two-sided Hardy inequalities." Thesis, McGill University, 2006. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=102160.

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We investigate inequalities that can be viewed as generalizations of Hardy's inequality about the Fourier coefficients of a function analytic on the circle. The proof of the Littlewood conjecture opened a wide door in front of questions regarding possible generalizations of Hardy's inequality. The proof of the Littlewood conjecture was based on some constructions of bounded functions having particular properties.
In 1993, I. Klemes investigated one of the constructions (we shall call it the algebraic construction) and proved what is called a mixed norm generalization of Hardy's inequality. It turns out that we can work with the same construction and examine more properties of it in order to get more results.
The objectives of the thesis are to give more detailed properties of the algebraic construction and to use these properties in order to prove various versions of two-sided Hardy inequalities.
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Noel, Jonathan. "Choosability of graphs with bounded order: Ohba's conjecture and beyond." Thesis, McGill University, 2013. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=119763.

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The choice number of a graph G, denoted ch(G), is the minimum integer k such that for any assignment of lists of size k to the vertices of G, there is a proper colouring of G such that every vertex is mapped to a colour in its list. For general graphs, the choice number is not bounded above by a function of the chromatic number.In this thesis, we prove a conjecture of Ohba which asserts that ch(G) = χ(G) whenever |V (G)| ≤ 2χ(G) + 1. We also prove a strengthening of Ohba's Conjecture which is best possible for graphs on at most 3χ(G) vertices, and pose several conjectures related to our work.
Le nombre de choix d'un graphe G, noté ch(G), est le plus petit entier k tel que pour toute affectation de listes de taille k au sommets de G, il y a une coloration de G tel que chaque sommet de G est coloré par une couleur de sa liste. En général, le nombre de choix n'est pas borné supérieurement par une fonction du nombre chromatique.Dans cette thèse, nous démontrons une conjecture de Ohba qui affirme que ch(G) =χ(G) dès que |V (G)| ≤ 2χ(G) + 1. Nous démontrons aussi une version plus forte de la conjecture de Ohba qui est optimale pour les graphes ayant au plus 3χ(G) sommets, et énonçons plusieurs conjectures par rapport à nos travaux.
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Lu, Lei 1975. "Essays on asset pricing with heterogeneous beliefs and bounded rational investor." Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=103267.

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The thesis includes two essays on asset pricing. In the first essay, "Asset Pricing in a Monetary Economy with Heterogeneous Beliefs", we shed new light on the role of monetary policy in asset pricing by focusing on the case where investors have heterogeneous expectations about future monetary policy. Under heterogeneity in beliefs, investors place bets against each other on the evolution of money supply, and as a result, the sharing of wealth in the economy evolves stochastically over time, making money non-neutral. Employing a continuous-time, general equilibrium model, we establish these fluctuations to be rich in implications, in that they majorly affect the equilibrium prices of all assets, as well as inflation. In particular, we find that the stock market volatility may be significantly increased by the heterogeneity in beliefs, a conclusion supported by our empirical analysis. The second essay is titled with " Asset Pricing and Welfare Analysis with Bounded Rational Investors". Motivated by the fact that investors have limited ability and insufficient knowledge to process information, I model investors' bounded-rational behavior in processing information and study its implications on asset pricing. Bounded rational investors perceive "correlated" information (which consists of news that is correlated with fundamentals, but provides no information on them) as "fundamental" information. This generates "bounded rational risk". Asset prices and volatilities of asset returns are derived. Specially, the equity premium and the stock volatility are raised under some conditions. I also analyze the welfare impact of bounded rationality.
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Malik, Sarah. "Reading between the lines: race, culture, and bounded identity in multicultural societies." Thesis, McGill University, 2011. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=97127.

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This thesis demonstrates the colonizing impact of multiculturalism on in-between subjects. In-between subjects are defined as individuals whose identities form at the interstices of two or more cultures. Using evidence from the narratives of The Namesake, The In-Between World of Vikram Lall, and Londonstani, this research describes a set of structurally embedded cultural concepts – rooting, marking, deference, and communication. These concepts contribute to the scripting of the essentialized identity roles that limit the recognition, inclusion, and participation of in-between subjects. Further, these conditions impose a double-bind on in-between subjects; in performing essentialized identities, in-between subjects deny their own free participation and expression, but to not perform an essentialized identity would mean sure exclusion and marginalization. The evidence points to a possible solution, however, in the form of safe spaces and relationships where difference is unscripted and alterity fills the space between Self and Other.
Ce travail démontre les effets colonisant de la multiculturalisme sur les "in-betweens." Les in-betweens sont des individus ayant une identité constituer au croisement de deux ou plusieurs cultures. Avec des données prises des récits de The Namesake, The In-Between World of Vikram Lall, et Londonstani, ce recherche décrit des concepts enfoncés dans la structure sociale – le racinement, la marque, la différence, et la communication. Ces concepts contribuent à la création des personnages hyper-culturelles, dont l'effectualisation limite la reconnaissance, l'inclusion, et la participation des in-betweens. En effectuant ces personnages, les in-betweens perdre leurs voix et leurs droits de participer. Par contre, s'ils n'effectuent pas ces personnages, les in-betweens seront exclus et marginalisés. Les espaces et les relations ou il ne faut pas distinguer entre soi et l'autre pour comprendre la différence offrent une solution; c'est là ou les in-betweens peuvent trouver le soutien communautaire qu'il faut pour assurer la participation.
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Gu, Lian Sheng. "Migration of a neutrally buoyant particle suspended in a general bounded creeping flow." Thesis, McGill University, 1995. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=29032.

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The migration phenomenon of a neutrally buoyant solid particle suspended in an arbitrary flowing fluid of zero Reynolds number bounded by a plane solid wall has been analytically studied for the situation where the influence of boundary conditions is important. In particular, it is shown that for flows near a solid wall, particles can move in such a manner so as to cause large spatial variations of particle concentration in the suspension.
Similar techniques are used to obtain a theoretical formulation for the non-deformable spherical droplet suspended in the prescribed flowing fluid bounded by the solid plane boundary. Special cases such as flows containing a vortex near the solid boundary or flows which are periodic along the wall are particularly examined.
Experiments have been performed to verify the validity of the theory for the solid particles and non-deformable fluid drops. Experimental results are also compared to theoretical conclusions.
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Books on the topic "Bounded jumps"

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Barlow, M. T. Heat kernel upper bounds for jump processes and the first exit time. Kyoto, Japan: Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2006.

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Jump into Math: Active Learning for Preschool Children (Learning in Leaps and Bounds). Gryphon House, 2008.

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Gonna Move, Gotta Bounce, Have to Jumpity Jump!: How I Smooth Out My Jitter-Clumpy Day. Girl Friday Books, 2021.

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Stokes, Jamaree, and Charli Vince. Gonna Move, Gotta Bounce, Have to Jumpity Jump!: How I Smooth Out My Jitter-Clumpy Day. Girl Friday Books, 2021.

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Jeanpaulmozart. Anxiety Girl - Able to Jump to the Worst Conclusion in a Single Bound: Anxiety Workbook Journal. Hyland House Publishing Pty Ltd, 2021.

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Delamar, Gloria T. Children's Counting-Out Rhymes, Fingerplays, Jump-Rope and Bounce-Ball Chants and Other Rhythms: A Comprehensive English-Language Reference. McFarland & Company, Inc., Publishers, 2006.

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Book chapters on the topic "Bounded jumps"

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Wu, Guohua, and Huishan Wu. "Bounded Jump and the High/Low Hierarchy." In Lecture Notes in Computer Science, 647–58. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-14812-6_40.

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Chakraborty, Tanmoy, and Sanjeev Khanna. "Nash Dynamics in Constant Player and Bounded Jump Congestion Games." In Algorithmic Game Theory, 196–207. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04645-2_18.

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MacKay, Anne, and Alexander Melnikov. "Price Bounds in Jump-Diffusion Markets Revisited via Market Completions." In Springer Proceedings in Mathematics & Statistics, 553–63. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-99719-3_50.

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Backenköhler, Michael, Luca Bortolussi, Gerrit Großmann, and Verena Wolf. "Analysis of Markov Jump Processes under Terminal Constraints." In Tools and Algorithms for the Construction and Analysis of Systems, 210–29. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72016-2_12.

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AbstractMany probabilistic inference problems such as stochastic filtering or the computation of rare event probabilities require model analysis under initial and terminal constraints. We propose a solution to this bridging problem for the widely used class of population-structured Markov jump processes. The method is based on a state-space lumping scheme that aggregates states in a grid structure. The resulting approximate bridging distribution is used to iteratively refine relevant and truncate irrelevant parts of the state-space. This way, the algorithm learns a well-justified finite-state projection yielding guaranteed lower bounds for the system behavior under endpoint constraints. We demonstrate the method’s applicability to a wide range of problems such as Bayesian inference and the analysis of rare events.
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Buzdalov, Maxim, Mikhail Kever, and Benjamin Doerr. "Upper and Lower Bounds on Unrestricted Black-Box Complexity of Jump $$_{n,\ell }$$." In Evolutionary Computation in Combinatorial Optimization, 209–21. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16468-7_18.

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Gruber, Martin, and Günther R. Raidl. "(Meta-)Heuristic Separation of Jump Cuts in a Branch&Cut Approach for the Bounded Diameter Minimum Spanning Tree Problem." In Matheuristics, 209–29. Boston, MA: Springer US, 2009. http://dx.doi.org/10.1007/978-1-4419-1306-7_8.

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Blumenfeld, Lev. "ATP Synthesis by the Membrane Bound and Isolated H+ ATPases After Jump-Like pH Increase." In Structure, Dynamics and Function of Biomolecules, 187–90. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-71705-5_40.

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"Good-Deal Bounds." In Point Processes and Jump Diffusions, 240–48. Cambridge University Press, 2021. http://dx.doi.org/10.1017/9781009002127.028.

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"Biomechanics of the bounce jump." In Biomechanics and Physical Training of the Horse, 179–86. CRC Press, 2014. http://dx.doi.org/10.1201/b16104-27.

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Downey, Rod, and Noam Greenberg. "α‎-c.a. functions." In A Hierarchy of Turing Degrees, 23–54. Princeton University Press, 2020. http://dx.doi.org/10.23943/princeton/9780691199665.003.0002.

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This chapter discusses the notion of α‎-c.a. functions. The main issue is to properly define what is meant by a computable function o from N to α‎, which is required for the definition of α‎-computable approximations. Naturally, to deal with an ordinal α‎ computably, one needs a notation for this ordinal, or more generally, a computable well-ordering of order-type α‎. To form the basis of a solid hierarchy, the notion of α‎-c.a. should not depend on which well-ordering one takes, rather it should only depend on its order-type. Thus, one cannot consider all computable copies of α‎. Rather, one restricts one's self to a class of particularly well-behaved well-orderings, in a way that ensures that they are all computably isomorphic. Having defined α‎-c.a. functions, the chapter relates these functions to iterations of the bounded jump (the jump inside the weak truth-table degrees).
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Conference papers on the topic "Bounded jumps"

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Hou, Ting, Jie Wang, and Hongji Ma. "Bounded real lemma for discrete-time stochastic systems with infinite Markov jumps." In 2016 35th Chinese Control Conference (CCC). IEEE, 2016. http://dx.doi.org/10.1109/chicc.2016.7553365.

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Gallis, M. A., J. R. Torczynski, D. J. Rader, and B. L. Bainbridge. "Noncontinuum Gas-Phase Heat Transfer From a Heated Microbeam to the Adjacent Substrate." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-81683.

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Noncontinuum gas-phase heat transfer in two microscale geometries is investigated using two computational methods. The motivation is microscale thermal actuation produced by heating-induced expansion of a near-substrate microbeam in air. The first geometry involves a 1-μm microgap filled with gas and bounded by parallel solid slabs. The second geometry involves a heated I-shaped microbeam 2 μm from the adjacent substrate, with gas in between. Two computational methods are applied. The Navier-Stokes slip-jump (NSSJ) method uses continuum heat transfer in the gas, with temperature jumps at boundaries to treat noncontinuum effects. The Direct Simulation Monte Carlo (DSMC) method uses computational molecules to simulate noncontinuum gas behavior accurately. For the microgap, the heat-flux values from both methods are in good agreement for all pressures and accommodation coefficients. For the microbeam, there is comparably good agreement except for cases with low pressures and near-unity accommodation coefficients. The causes of this discrepancy are discussed.
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Pappu, Vijay, and Prosenjit Bagchi. "Capture, Deformation, Rolling and Detachment of a Cell on an Adhesive Surface in a Shear Flow." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-67742.

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Three-dimensional computational modeling and simulation using front tracking method are presented on the motion of a deformable cell over an adhesive surface in a shear flow. The numerical method couples a Navier-Stokes flow solver with cell membrane mechanics, and a Monte Carlo simulation to capture stochastic formation and breakage of receptor/ligand bonds. The entire range of events during cell adhesion, namely, initial arrest of a free-flowing cell, slow rolling of an adherent cell, and detachment off the surface is simulated. Simulations are conducted to signify the role of hydrodynamic lift force that exists for a deformable particle in a wall-bounded flow. Three sets of numerical experiments are presented. In the first set, we consider the initial arrest of the cell, and show that the time needed for the cell to arrest increases with increasing Ca, but rapidly drops and saturates for higher bond strength. In the second set, we consider quasi-steady rolling motion of the cell, and predict the experimentally observed “stop and go” motion of the rolling leukocytes which is characterized by intermittent pauses and sudden jumps in cell velocity. In the third set we consider the detachment of the cell from the surface upon breakage of bonds. The bond strength needed to prevent the detachment of an adherent cell is computed and shown to be maximum for an intermediate Ca.
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Shan, Hua, and Sung-Eun Kim. "Numerical Study of Advection Schemes for Interface Capturing in a Volume of Fluid Method on Unstructured Meshes." In ASME-JSME-KSME 2011 Joint Fluids Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/ajk2011-04029.

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In solving naval hydrodynamics problems using computational fluid dynamics (CFD), the moving free surface between air and water introduces extra difficulties to numerical methods, since the material property jumps across the interface and the time-dependent free surface position becomes part of the solution. Engineering applications often require a flexible and robust solver for incompressible multi-phase viscous flows with the capability of capturing the interface. In the volume of fluid (VOF) method, the interface is captured by directly solving the convection transport equation of volume fraction. In this case, the numerical dissipation of the advection scheme smears the sharp interface and the numerical dispersion causes unphysical oscillations near the interface. Utilizing the guidance of boundedness criteria, many limited higher-order non-liner advection schemes have been developed in an attempt to balance numerical dissipation and dispersion. Though it is well-known that these non-linear advection schemes can lead to solutions combining boundednesss and accuracy, users are often overwhelmed by the wide variety of available schemes. Also, these schemes are developed with the assumption of a uniform Cartesian-type mesh. Thus, a thorough investigation and comparison of the performance of these interface-capturing advection schemes are necessary, especially for naval hydrodynamics problems solved on unstructured meshes. In this study, a systematic comparison and evaluation of several existing and new bounded, higher-order advection schemes has been conducted within the framework of NavyFOAM, which is developed based on OpenFOAM — an object orientated C++ toolbox for the customization and extension of numerical solvers for continuum mechanics problems, including CFD, where the governing equations are discretized using the cell-centered finite volume method on unstructured mesh. The flexible infrastructure of the code enables us to implement and test the selected advection schemes very quickly. The test cases include advection of hollow cylinders, Zalesak’s rotating slotted disk, traveling solitary wave, dam breaking problem.
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Todorov, Marcos G., and Marcelo D. Fragoso. "Infinite Markov Jump Bounded Real Lemma." In 2007 American Control Conference. IEEE, 2007. http://dx.doi.org/10.1109/acc.2007.4282217.

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6

Park, Chan-eun, and PooGyeon Park. "Bounded realness for discrete-time jump descriptor systems." In 2020 59th IEEE Conference on Decision and Control (CDC). IEEE, 2020. http://dx.doi.org/10.1109/cdc42340.2020.9304012.

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Aberkane, Samir. "Bounded real lemma for nonhomogeneous Markovian jump linear systems." In 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2011). IEEE, 2011. http://dx.doi.org/10.1109/cdc.2011.6160918.

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Seidler, Mathias A., Alessandro Cerè, Ricardo Gutiérrez-Jáuregui, Rocío Jáuregui, and Christian Kurtsiefer. "Upper Bound on the Duration of Quantum Jumps." In CLEO: Applications and Technology. Washington, D.C.: OSA, 2019. http://dx.doi.org/10.1364/cleo_at.2019.jtu2a.24.

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Park, Chan-eun, In Seok Park, and PooGyeon Park. "A strictly bounded real lemma for singular Markovian jump systems." In 2019 IEEE 58th Conference on Decision and Control (CDC). IEEE, 2019. http://dx.doi.org/10.1109/cdc40024.2019.9030028.

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Ma, Shuping, and El-Kebir Boukas. "Robust quadratic control of discrete-time singular Markov jump systems with bounded transition probabilities." In 2009 American Control Conference. IEEE, 2009. http://dx.doi.org/10.1109/acc.2009.5159905.

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