Дисертації з теми "Dynamical large deviations"
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Maroulas, Vasileios Budhiraja Amarjit. "Small noise large deviations for infinite dimensional stochastic dynamical systems." Chapel Hill, N.C. : University of North Carolina at Chapel Hill, 2008. http://dc.lib.unc.edu/u?/etd,1779.
Повний текст джерелаTitle from electronic title page (viewed Sep. 16, 2008). " ... in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of Statistics and Operations Research Statistics." Discipline: Statistics and Operations Research; Department/School: Statistics and Operations Research.
van, Horssen Merlijn. "Large deviations and dynamical phase transitions for quantum Markov processes." Thesis, University of Nottingham, 2014. http://eprints.nottingham.ac.uk/27741/.
Повний текст джерелаDe, Oliveira Gomes André. "Large Deviations Studies for Small Noise Limits of Dynamical Systems Perturbed by Lévy Processes." Doctoral thesis, Humboldt-Universität zu Berlin, 2018. http://dx.doi.org/10.18452/19118.
Повний текст джерелаThis thesis deals with applications of Large Deviations Theory to different problems of Stochastic Dynamics and Stochastic Analysis concerning Jump Processes. The first problem we address is the first exit time from a fixed bounded domain for a certain class of exponentially light jump diffusions. According to the lightness of the jump measure of the driving process, we derive, when the source of the noise vanishes, the asymptotic behavior of the law and of the expected value of first exit time. In the super-exponential regime the law of the first exit time follows a large deviations scale and in the sub-exponential regime it follows a moderate deviations one. In both regimes the first exit time is comprehended, in the small noise limit, in terms of a deterministic quantity that encodes the minimal energy the jump diffusion needs to spend in order to follow an optimal controlled path that leads to the exit. The second problem that we analyze is the small noise limit of a certain class of coupled forward-backward systems of Stochastic Differential Equations. Associated to these stochastic objects are some nonlinear nonlocal Partial Differential Equations that arise as nonlocal toy-models of Fluid Dynamics. Using a probabilistic approach and the Markov nature of these systems we study the convergence at the level of viscosity solutions and we derive a large deviations principles for the laws of the stochastic processes that are involved.
Högele, Michael [Gutachter], Peter [Gutachter] Imkeller, and Dirk [Gutachter] Becherer. "Large Deviations Studies for Small Noise Limits of Dynamical Systems Perturbed by Lévy Processes / Gutachter: Michael Högele, Peter Imkeller, Dirk Becherer." Berlin : Humboldt-Universität zu Berlin, 2018. http://d-nb.info/1182541208/34.
Повний текст джерелаHurth, Tobias. "Limit theorems for a one-dimensional system with random switchings." Thesis, Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/37201.
Повний текст джерелаCabana, Tanguy. "Large deviations for the dynamics of heterogeneous neural networks." Thesis, Paris 6, 2016. http://www.theses.fr/2016PA066551/document.
Повний текст джерелаThis thesis addresses the rigorous derivation of mean-field results for the continuous time dynamics of heterogeneous large neural networks. In our models, we consider firing-rate neurons subject to additive noise. The network is fully connected, with highly random connectivity weights. Their variance scales as the inverse of the network size, and thus conserves a non-trivial role in the thermodynamic limit. Moreover, another heterogeneity is considered at the level of each neuron. It is interpreted as a spatial location. For biological relevance, a model considered includes delays, mean and variance of connections depending on the distance between cells. A second model considers interactions depending on the states of both neurons at play. This last case notably applies to Kuramoto's model of coupled oscillators. When the weights are independent Gaussian random variables, we show that the empirical measure of the neurons' states satisfies a large deviations principle, with a good rate function achieving its minimum at a unique probability measure, implying averaged convergence of the empirical measure and propagation of chaos. In certain cases, we also obtained quenched results. The limit is characterized through a complex non Markovian implicit equation in which the network interaction term is replaced by a non-local Gaussian process whose statistics depend on the solution over the whole neural field. We further demonstrate the universality of this limit, in the sense that neuronal networks with non-Gaussian interconnections but sub-Gaussian tails converge towards it. Moreover, we present a few numerical applications, and discuss possible perspectives
Bouley, Angèle. "Grandes déviatiοns statistiques de l'exclusiοn en cοntact faible avec des réservοirs". Electronic Thesis or Diss., Normandie, 2024. http://www.theses.fr/2024NORMR032.
Повний текст джерелаThis thesis focuses on a process of exclusion in weak contact with reservoirs. More precisely, we revisit the model studied in the article "Hydrostatics and dynamical large deviations of boundary driven gradient symmetric exclusion processes" by J. Farfan, C. Landim, M. Mourragui but in the case of weak (rather than strong) contact with the reservoirs. Through this weak contact, results are modified such as the hydrodynamic limit theorem and the theorem of large dynamical deviations. The modifications of these two results are studied in this thesis in the case of dimension 1. The first part of the thesis will consist of proving the hydrodynamic limit theorem for our model, i.e. showing the convergence of the empirical measure. Based on the steps in Section 5 of the book "Scaling limits of interacting particle systems" by C. Kipnis, C. Landim, we will show that this sequence is relatively compact before studying the properties of its limit points. For each convergent subsequence, we will show that they converge to limit points that concentrate on absolutely continuous trajectories and whose densities are weak solutions of an equation that we will call the hydrodynamic equation. By demonstrating the uniqueness of weak solutions of the hydrodynamic equation, we will then have a unique limit point and the convergence of the sequence will be established. In the second part of the thesis, we will demonstrate the theorem of large dynamical deviations, i.e. that there exists a rate function I_{[0,T]}(.|\gamma) satisfying the large deviations principle for the sequence studied in the first part. After defining the rate function, we will show that it is lower semicontinuous, has compact level sets, and satisfies a lower bound and an upper bound property. One of the main challenges will be to show a density property for a set F. This will represent a significant part of this section. Moreover, to prove this density property, we will need to decompose the function I_{[0,T]}(.|\gamma) which contains boundary terms and does not have a convexity property like the rate functions of several existing models. Due to these two constraints, new regularity properties as well as a new type of decomposition will be demonstrated
Mitsudo, Tetsuya. "The Kink Dynamics and the Large Deviation for the Current in the Asymmetric Simple Exclusion Process with Open Boundary Conditions." 京都大学 (Kyoto University), 2011. http://hdl.handle.net/2433/142360.
Повний текст джерелаSerrao, Shannon Reuben. "Stochastic effects on extinction and pattern formation in the three-species cyclic May–Leonard model." Diss., Virginia Tech, 2021. http://hdl.handle.net/10919/101782.
Повний текст джерелаDoctor of Philosophy
In the field of ecology, the cyclic predator-prey patterns in a food web are relevant yet independent to the hierarchical archetype. We study the paradigmatic cyclic May--Leonard model of three species, both analytically and numerically. First, we employ well--established techniques in large-deviation theory to study the extinction of populations induced by large but rare fluctuations. In the zero--dimensional version of the model, we compare the mean time to extinction computed from the theory to numerical simulations. Secondly, we study the stochastic spatial version of the May--Leonard model and show that for values close to the Hopf bifurcation, in the limit of small fluctuations, we can map the coarse-grained description of the model to the Complex Ginsburg Landau Equation, with stochastic noise corrections. Finally, we explore the induction of ecodiversity through spatio-temporal spirals in the asymmetric version of the May--Leonard model, which is otherwise inclined to reach an extinction state. This is accomplished by coupling to a symmetric May-Leonard counterpart on a two-dimensional lattice. The coupled system creates conditions for spiral formation in the asymmetric subsystem, thus precluding extinction.
Guarnieri, G. "Characterizzation of dynamical properties of non-Markovian open quantum systems." Doctoral thesis, Università degli Studi di Milano, 2017. http://hdl.handle.net/2434/468262.
Повний текст джерелаTurci, Francesco. "Transport Models with Constrained Dynamics : Heterogeneous Flow and Intermittency." Thesis, Montpellier 2, 2012. http://www.theses.fr/2012MON20027/document.
Повний текст джерелаWhen the motion of particles driven by external forces is restricted by exclusion mechanisms or bottlenecks, non-trivial space-time correlations in their motion may be observed, giving rise to a dynamics which involves spatial heterogeneities and large fluctuations in time.Here we study two examples of such kind of motion, considering two exclusion processes on discrete lattices in 2d and 1d.The first model is inspired by the slow relaxation occurring when stirring or shearing colloidal or granular materials: at high densities (or packing fractions) increasing the external forcing may lead to a strong increase in the viscosity. We explain the blockage dynamics at high density as the coexistence of blocked and mobile regions and we determine the signature of such dynamics with the use of the thermodynamics of histories. We also quantify the spatial extension of such structures and provide a phenomenological model relating the microscopic properties of the dynamics to the macroscopic flow behavior.The second model consists in a one-dimensional exclusion process incorporating a structural, localized, dynamical defect. Inspired by the complexity and richness of mRNA translation, we propose a new model for the dynamics arising when the particles flow is regulated by structural or conformational changes in the transport medium. We provide a complete description of the model, characterizing all the possible dynamical regimes and addressing a quantitative explanation of the macroscopic current profiles
Tolotti, Marco. "The impact of contagion on large portfolios : modeling aspects." Doctoral thesis, Scuola Normale Superiore, 2008. http://hdl.handle.net/11384/85706.
Повний текст джерелаCollet, Francesca. "The Impact of Disorder in the Critical Dynamics of Mean-Field Models." Doctoral thesis, Università degli studi di Padova, 2009. http://hdl.handle.net/11577/3426493.
Повний текст джерелаConsideriamo un sistema di particelle interagenti a campo-medio immerso in un ambiente aleatorio i.i.d. e sito-dipendente. Il sistema viene fatto evolvere come una catena di Markov a tempo continuo sullo spazio degli stati. La dinamica dipende da pochi parametri e puo` essere completamente descritta attraverso quella del parametro d'ordine del modello. Ricaviamo la dinamica di quest'ultimo nel limite di volume infinito e quindi ne studiamo il comportamento per tempi lunghi. Tale dinamica limite risulta essere deterministica e, al variare dei parametri, presenta una transizione di fase. Il nostro interesse principale e` lo studio delle fluttuazioni critiche, cioe` le fluttuazioni del parametro d'ordine attorno alla dinamica limite quando i parametri assumono i valori tali per cui si verifica la transizione di fase. Lo scopo e` l'analisi degli effetti causati dal disordine su di esse, confrontandole con le analoghe fluttuazioni per il caso omogeneo. Trattiamo sistemi di spin e di diffusioni, ma non in totale generalita`. Ci concentriamo su dei modelli specifici: il modello di Curie-Weiss con aggiunta di campo aleatorio; un sistema di spin non-reversibile motivato dalla Finanza e il modello di Kuramoto omogeneo e non.
Tangarife, Tomás. "Théorie cinétique et grandes déviations en dynamique des fluides géophysiques." Thesis, Lyon, École normale supérieure, 2015. http://www.theses.fr/2015ENSL1037/document.
Повний текст джерелаThis thesis deals with the dynamics of geophysical turbulent flows at large scales, more particularly their organization into east-west parallel flows (zonal jets). These structures have the particularity to evolve much slower than the surrounding turbulence. Besides, over long time scales, abrupt transitions between different configurations of zonal jets are observed in some cases (multistability). Our approach consists in averaging the effect of fast turbulent degrees of freedom in order to obtain an effective description of the large scales of the flow, using stochastic averaging and the theory of large deviations. These tools provide theattractors, the typical fluctuations and the large fluctuations of jet dynamics. This allows to go beyond previous studies, which only describe the average jet dynamics. Our first result is an effective equation for the slow dynamics of jets, the validityof this equation is studied from a theoretical point of view, and the physical consequences are discussed. In order to describe the statistics of rare events such as abrupt transitions between different jet configurations, tools from large deviation theory are employed. Original methods are developped in order to implement this theory, those methods can be applied for instance in situations of multistability
Matias, João Manuel Silva. "Large Deviations in Dynamical Systems." Master's thesis, 2021. https://hdl.handle.net/10216/137121.
Повний текст джерелаDematteis, Giovanni. "Large deviations for rare realizations of dynamical systems." Doctoral thesis, 2019. http://hdl.handle.net/11583/2751252.
Повний текст джерела"Dynamic scheduling algorithm based on queue parameter balancing and generalized large deviation techniques." 2000. http://library.cuhk.edu.hk/record=b6073257.
Повний текст джерела"April 2000."
Thesis (Ph.D.)--Chinese University of Hong Kong, 2000.
Includes bibliographical references (p. 117-[124]).
Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web.
Mode of access: World Wide Web.
Abstracts in English and Chinese.
Gherardini, Stefano. "Noise as a resource - Probing and manipulating classical and quantum dynamical systems via stochastic measurements." Doctoral thesis, 2018. http://hdl.handle.net/2158/1120060.
Повний текст джерела