Relevant bibliographies by topics / Scaling asymptotics

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Scaling asymptotics'

Author: Grafiati
Published: 9 March 2023
Last updated: 31 July 2025

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Journal articles on the topic "Scaling asymptotics"

1

Paoletti, Roberto. "Local scaling asymptotics in phase space and time in Berezin–Toeplitz quantization." International Journal of Mathematics 25, no. 06 (2014): 1450060. http://dx.doi.org/10.1142/s0129167x14500608.

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This paper deals with the local semiclassical asymptotics of a quantum evolution operator in the Berezin–Toeplitz scheme, when both time and phase space variables are subject to appropriate scalings in the neighborhood of the graph of the underlying classical dynamics. Global consequences are then drawn regarding the scaling asymptotics of the trace of the quantum evolution as a function of time.
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PAOLETTI, ROBERTO. "SCALING ASYMPTOTICS FOR QUANTIZED HAMILTONIAN FLOWS." International Journal of Mathematics 23, no. 10 (2012): 1250102. http://dx.doi.org/10.1142/s0129167x12501029.

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In recent years, the near diagonal asymptotics of the equivariant components of the Szegö kernel of a positive line bundle on a compact symplectic manifold have been studied extensively by many authors. As a natural generalization of this theme, here we consider the local scaling asymptotics of the Toeplitz quantization of a Hamiltonian symplectomorphism, and specifically how they concentrate on the graph of the underlying classical map.
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Riley, N. "Scaling, self-similarity, and intermediate asymptotics." European Journal of Mechanics - B/Fluids 17, no. 3 (1998): 389–90. http://dx.doi.org/10.1016/s0997-7546(98)80266-5.

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Hashorva, Enkelejd, and Anthony G. Pakes. "Tail asymptotics under beta random scaling." Journal of Mathematical Analysis and Applications 372, no. 2 (2010): 496–514. http://dx.doi.org/10.1016/j.jmaa.2010.07.045.

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VENEZIANO, DANIELE. "LARGE DEVIATIONS OF MULTIFRACTAL MEASURES." Fractals 10, no. 01 (2002): 117–29. http://dx.doi.org/10.1142/s0218348x02000872.

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We analyze the extremes of stationary multifractal measures using large deviation theory. We consider various cases involving discrete multiplicative cascades: scalar or vector cascades with dependent or independent generators, bare or dressed measures, and marginal (single-point) or joint (multi-point) extremes. In each case, we obtain the scaling behavior of the probability of large deviations as the resolution of the cascade diverges. Existing rough exponential limits for scalar cascades are confirmed, whereas for other cases our scaling relationships differ from previously published result
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Xiao, Lechao, Hong Hu, Theodor Misiakiewicz, Yue M. Lu, and Jeffrey Pennington. "Precise learning curves and higher-order scaling limits for dot-product kernel regression *." Journal of Statistical Mechanics: Theory and Experiment 2023, no. 11 (2023): 114005. http://dx.doi.org/10.1088/1742-5468/ad01b7.

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Abstract As modern machine learning models continue to advance the computational frontier, it has become increasingly important to develop precise estimates for expected performance improvements under different model and data scaling regimes. Currently, theoretical understanding of the learning curves (LCs) that characterize how the prediction error depends on the number of samples is restricted to either large-sample asymptotics ( m → ∞ ) or, for certain simple data distributions, to the high-dimensional asymptotics in which the number of samples scales linearly with the dimension ( m ∝ d ).
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Szpak, Nikodem. "Asymptotics from Scaling for Nonlinear Wave Equations." Communications in Partial Differential Equations 35, no. 10 (2010): 1876–90. http://dx.doi.org/10.1080/03605300903540935.

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PAOLETTI, ROBERTO. "LOCAL TRACE FORMULAE AND SCALING ASYMPTOTICS IN TOEPLITZ QUANTIZATION." International Journal of Geometric Methods in Modern Physics 07, no. 03 (2010): 379–403. http://dx.doi.org/10.1142/s021988781000435x.

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A trace formula for Toeplitz operators was proved by Boutet de Monvel and Guillemin in the setting of general Toeplitz structures. Here, we give a local version of this result for a class of Toeplitz operators related to continuous groups of symmetries on quantizable compact symplectic manifolds. The local trace formula involves certain scaling asymptotics along the clean fixed locus of the Hamiltonian flow of the symbol, reminiscent of the scaling asymptotics of the equivariant components of the Szegö kernel along the diagonal.
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Shiffman, Bernard, Steve Zelditch, and Qi Zhong. "Random zeros on complex manifolds: conditional expectations." Journal of the Institute of Mathematics of Jussieu 10, no. 3 (2011): 753–83. http://dx.doi.org/10.1017/s1474748011000041.

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AbstractWe study the conditional distribution of zeros of a Gaussian system of random polynomials (and more generally, holomorphic sections), given that the polynomials or sections vanish at a point p (or a fixed finite set of points). The conditional distribution is analogous to the pair correlation function of zeros but we show that it has quite a different small distance behaviour. In particular, the conditional distribution does not exhibit repulsion of zeros in dimension 1. To prove this, we give universal scaling asymptotics for around p. The key tool is the conditional Szegő kernel and
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Ignat, Tatiana I. "Asymptotics for nonlocal evolution problems by scaling arguments." Differential Equations & Applications, no. 4 (2013): 613–26. http://dx.doi.org/10.7153/dea-05-36.

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Dissertations / Theses on the topic "Scaling asymptotics"

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CAMOSSO, SIMONE. "Scaling asymptotics of Szego kernels under commuting Hamiltonian actions." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2015. http://hdl.handle.net/10281/77488.

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Let M be a connected d-dimensional complex projective manifold, and let A be a holomorphic positive Hermitian line bundle on M, with normalized curvature. Let G be a compact and connected Lie group of dimension d(G), and let T be a compact torus T of dimension d(T). Suppose that both G and T act on M in a holomorphic and Hamiltonian manner, that the actions commute, and linearize to A. If X is the principal circle-bundle associated to A, then this set-up determines commuting unitary representations of G and T on the Hardy space H(X) of X, which may then be decomposed over the irreducible repre
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Haug, Nils Adrian. "Asymptotics and scaling analysis of 2-dimensional lattice models of vesicles and polymers." Thesis, Queen Mary, University of London, 2017. http://qmro.qmul.ac.uk/xmlui/handle/123456789/30706.

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The subject of this thesis is the asymptotic behaviour of generating functions of different combinatorial models of two-dimensional lattice walks and polygons, enumerated with respect to different parameters, such as perimeter, number of steps and area. These models occur in various applications in physics, computer science and biology. In particular, they can be seen as simple models of biological vesicles or polymers. Of particular interest is the singular behaviour of the generating functions around special, so-called multicritical points in their parameter space, which correspond physicall
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Kishi, Tatsuro. "Scaling laws for turbulent relative dispersion in two-dimensional energy inverse-cascade turbulence." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/263445.

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Hoffmann, Franca Karoline Olga. "Keller-Segel-type models and kinetic equations for interacting particles : long-time asymptotic analysis." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/269646.

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This thesis consists of three parts: The first and second parts focus on long-time asymptotics of macroscopic and kinetic models respectively, while in the third part we connect these regimes using different scaling approaches. (1) Keller–Segel-type aggregation-diffusion equations: We study a Keller–Segel-type model with non-linear power-law diffusion and non-local particle interaction: Does the system admit equilibria? If yes, are they unique? Which solutions converge to them? Can we determine an explicit rate of convergence? To answer these questions, we make use of the special gradient flow
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Hobert, Anne [Verfasser], Axel [Akademischer Betreuer] Munk, Axel [Gutachter] Munk, and Tatyana [Gutachter] Krivobokova. "Semiparametric Estimation of Drift, Rotation and Scaling in Sparse Sequential Dynamic Imaging: Asymptotic theory and an application in nanoscale fluorescence microscopy / Anne Hobert ; Gutachter: Axel Munk, Tatyana Krivobokova ; Betreuer: Axel Munk." Göttingen : Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2019. http://d-nb.info/1203875312/34.

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Gianfelici, Alessandro. "A linear O(N) model: a functional renormalization group approach for flat and curved space." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amslaurea.unibo.it/8343/.

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In questa tesi sono state applicate le tecniche del gruppo di rinormalizzazione funzionale allo studio della teoria quantistica di campo scalare con simmetria O(N) sia in uno spaziotempo piatto (Euclideo) che nel caso di accoppiamento ad un campo gravitazionale nel paradigma dell'asymptotic safety. Nel primo capitolo vengono esposti in breve alcuni concetti basilari della teoria dei campi in uno spazio euclideo a dimensione arbitraria. Nel secondo capitolo si discute estensivamente il metodo di rinormalizzazione funzionale ideato da Wetterich e si fornisce un primo semplice esempio di applic
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Gratton, Michel. "Comportement d'un composite 3D carb/carb : méso-modélisation pour la prévision de la réponse sous choc." Cachan, Ecole normale supérieure, 1998. http://www.theses.fr/1998DENS0004.

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Ce travail, mené en collaboration avec l'aérospatiale Les Mureaux et le centre d'études de Gramat, concerne la modélisation de matériaux composites tridirectionnels carbone/carbone sous sollicitations fortement dynamiques. Pour ce type de sollicitations, la notion de matériau homogène équivalent est inadaptée. L'objet de ce travail est de tester l'aptitude d'une modélisation a l'échelle des constituants mésoscopique (torons de fibres et blocs de matrice), a reproduire la réponse du matériau sous choc. Le matériau est tout d'abord identifie a l'échelle de ses méso-constituants. A cette fin, div
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Gao, Long. "Throughput and Delay Analysis in Cognitive Overlaid Networks." 2009. http://hdl.handle.net/1969.1/ETD-TAMU-2009-12-7531.

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Consider a cognitive overlaid network (CON) that has two tiers with different priorities: a primary tier vs. a secondary tier, which is an emerging network scenario with the advancement of cognitive radio (CR) technologies. The primary tier consists of randomly distributed primary radios (PRs) of density n, which have an absolute priority to access the spectrum. The secondary tier consists of randomly distributed CRs of density m = n^y with y greater than or equal to 1, which can only access the spectrum opportunistically to limit the interference to PRs. In this dissertation, the fundamental
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Apostolakis, John. "Asymptotic scaling in the two-dimensional O(3) Nonlinear sigma model: a Monte Carlo study on parallel computers." Thesis, 1994. https://thesis.library.caltech.edu/7649/1/Apostolakis-j-1994.pdf.

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<p>We investigate the 2d O(3) model with the standard action by Monte Carlo simulation at couplings β up to 2.05. We measure the energy density, mass gap and susceptibility of the model, and gather high statistics on lattices of size L ≤ 1024 using the Floating Point Systems T-series vector hypercube and the Thinking Machines Corp.'s Connection Machine 2. Asymptotic scaling does not appear to set in for this action, even at β = 2.10, where the correlation length is 420. We observe a 20% difference between our estimate m/Λ^─_(Ms) = 3.52(6) at this β and the recent exact analytical result . We
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Hobert, Anne. "Semiparametric Estimation of Drift, Rotation and Scaling in Sparse Sequential Dynamic Imaging: Asymptotic theory and an application in nanoscale fluorescence microscopy." Doctoral thesis, 2019. http://hdl.handle.net/11858/00-1735-0000-002E-E5B3-9.

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Books on the topic "Scaling asymptotics"

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Leal, L. Gary. Laminar flow and convective transport processes: Scaling principles and asymptotic analysis. Butterworth-Heinemann, 1992.

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Scaling, self-similarity, and intermediate asymptotics. Cambridge University Press, 1996.

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Barenblatt, Grigory Isaakovich. Scaling, Self-Similarity, and Intermediate Asymptotics: Dimensional Analysis and Intermediate Asymptotics. Cambridge University Press, 2014.

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Brenner, Howard. Laminar Flow and Convective Transport Processes: Scaling Principles and Asymptotic Analysis. Elsevier Science & Technology Books, 2016.

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Book chapters on the topic "Scaling asymptotics"

1

Garza-López, R. A., and J. J. Kozak. "Asymptotic Scaling for Euclidean Lattices." In Understanding Complex Systems. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-34070-3_43.

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Badii, R., M. Finardi, and G. Broggi. "Unfolding Complexity and Modelling Asymptotic Scaling Behavior." In NATO ASI Series. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4757-0172-2_12.

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Toussaint, D., S. A. Gottlieb, A. D. Kennedy, et al. "Monte Carlo Investigations of Asymptotic Scaling in QCD." In NATO ASI Series. Springer US, 1987. http://dx.doi.org/10.1007/978-1-4613-1909-2_41.

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Ogasawara, Haruhiko. "Applications of Asymptotic Expansion in Item Response Theory Linking." In Statistical Models for Test Equating, Scaling, and Linking. Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-98138-3_16.

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Castillo, Luciano, and Xia Wang. "The Asymptotic Profiles In Forced Convection Turbulent Boundary Layers." In IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow. Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-94-007-0997-3_33.

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Bertaglia, Giulia. "Asymptotic-Preserving Neural Networks for Hyperbolic Systems with Diffusive Scaling." In SEMA SIMAI Springer Series. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-29875-2_2.

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Aitchison, Ian J. R., and Anthony J. G. Hey. "QCD II: Asymptotic Freedom, The Renormalization Group, and Scaling Violations." In Gauge Theories in Particle Physics, 40th Anniversary Edition: A Practical Introduction, Volume 2, 5th ed. CRC Press, 2024. http://dx.doi.org/10.1201/9781003411666-15.

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Gerasimenko, V. I., and Yu Yu Fedchun. "On Semigroups of Large Particle Systems and Their Scaling Asymptotic Behavior." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-12145-1_10.

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Scheichl, B., and A. Kluwick. "Asymptotic Theory of Turbulent Bluff-Body Separation: A Novel Shear Layer Scaling Deduced from an Investigation of the Unsteady Motion." In IUTAM Symposium on Unsteady Separated Flows and their Control. Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-1-4020-9898-7_11.

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Crestetto, Anaïs, Nicolas Crouseilles, and Mohammed Lemou. "Asymptotic-Preserving Scheme Based on a Finite Volume/Particle-In-Cell Coupling for Boltzmann-BGK-Like Equations in the Diffusion Scaling." In Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05591-6_83.

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Conference papers on the topic "Scaling asymptotics"

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Yu, Xinchun, Shuangqin Wei, Chenhao Ying, and Xiao-Ping Zhang. "Constant Scaling Asymptotics of Communication Bounds in Covert Channels Against Selective Adversary." In MILCOM 2023 - 2023 IEEE Military Communications Conference (MILCOM). IEEE, 2023. http://dx.doi.org/10.1109/milcom58377.2023.10356292.

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Trivini, Aurora. "Asymptotic Scaling and Monte Carlo Data." In XXIIIrd International Symposium on Lattice Field Theory. Sissa Medialab, 2005. http://dx.doi.org/10.22323/1.020.0036.

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Mirazita, M. "Onset of asymptotic scaling in deuteron photodisintegration." In FEW-BODY PROBLEMS IN PHYSICS: The 19th European Conference on Few-Body Problems in Physics. AIP, 2005. http://dx.doi.org/10.1063/1.1932927.

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Ferro, Marco, Bengt E. G. Fallenius, and Jens H. M. Fransson. "On the scaling of turbulent asymptotic suction boundary layers." In Tenth International Symposium on Turbulence and Shear Flow Phenomena. Begellhouse, 2017. http://dx.doi.org/10.1615/tsfp10.1070.

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Wang, Xia, and Luciano Castillo. "The Asymptotic Temperature Profile for Forced Convection Turbulent Boundary Layers With and Without Pressure Gradient." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45451.

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Similarity analysis of the equations of motion is used in order to study forced convection turbulent boundary layers with and without pressure gradient. New scalings are found for both the inner and the outer temperature profiles, respectively. It is shown that by normalizing the temperature profiles using the new scalings, the effects from the Pe´clet number and pressure gradient can be removed completely from the profiles. Therefore, the asymptotic solutions can be obtained even at the finite Pe´clet number. Moreover, using the Near-Asymptotic principle, a power law solution is derived for t
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Phoenix, S. Leigh, and Irene J. Beyerlein. "Strength Distribution and Size Effects for the Fracture of Fibrous Composite Materials." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0706.

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Abstract Random network models have recently been developed in the physics literature to explain the strength and size effect in heterogeneous materials. Applications have included the breakdown of random fuse networks, dielectric breakdown and brittle fracture. Unfortunately, conventional scaling approaches of statistical mechanics have yielded incorrect predictions, and new approaches have been proposed which build on field enhancement occurring near the tips of critical, random clusters together with the statistical theory of extremes. New distributions and size scalings for strength have b
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Muzychka, Y. S., and M. M. Yovanovich. "Unsteady Viscous Flows and Stokes's First Problem." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-14301.

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Unsteady viscous flows and Stokes's first problem are examined. Three problems are considered: unsteady Couette flow, unsteady Poiseuille flow, and unsteady boundary layer flow. The relationship between these three fundamental unsteady flows and Stokes' first problem is illustrated. Scaling principles are used to deduce the short time and long time characteristics of these three problems. Asymptotic analysis is used to obtain exact short and long time characteristics and to show the relationship of each problem to Stokes's first problem for short times. Finally, compact robust models are devel
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Butti, Pietro, and Antonio Gonzalez-Arroyo. "Testing (asymptotic) scaling in Yang-Mills theories in the large-$N_c$ limit." In The 40th International Symposium on Lattice Field Theory. Sissa Medialab, 2023. http://dx.doi.org/10.22323/1.453.0381.

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Schmitt, John. "Mechanical Models for Insect Locomotion: Parameter Studies." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1756.

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Abstract Motivated by experimental studies of insects, we develop a three-degree-of-freedom, energetically conservative, rigid body model with a pair of elastic legs in intermittent contact with the ground. The resulting piecewise-holonomic mechanical system exhibits periodic gaits whose neutral and asymptotic stability characteristics are due to intermittent foot contact, and are largely determined by geometrical criteria. We study how dynamics depend on physical parameters such as mass, moment of inertia, leg length, leg stiffness, and leg touchdown angle. We develop exact and approximate sc
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Wong, T. T. Y., M. S. Aly, and K. Han. "Scaling and asymptotic compensation techniques for early-time response calculation by transform methods." In IEEE Antennas and Propagation Society International Symposium 1992 Digest. IEEE, 1992. http://dx.doi.org/10.1109/aps.1992.221854.

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