Results 11 to 20 of about 390 (67)
Absence of singular continuous diffraction for discrete multi-component particle models [PDF]
, 2007 Particle models with finitely many types of particles are considered, both on $\mathbb{Z}^d$ and on discrete point sets of finite local complexity. Such sets include many standard examples of aperiodic order such as model sets or certain substitution ...
Baake, Michael, Zint, Natali
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The Algorithmic Information Content for randomly perturbed systems [PDF]
, 2003 In this paper we prove estimates on the behaviour of the Kolmogorov-Sinai entropy relative to a partition for randomly perturbed dynamical systems. Our estimates use the entropy for the unperturbed system and are obtained using the notion of Algorithmic ...
Bonanno, Claudio
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Extreme Value Laws for dynamical systems with countable extremal sets [PDF]
, 2016 We consider stationary stochastic processes arising from dynamical systems by evaluating a given observable along the orbits of the system. We focus on the extremal behaviour of the process, which is related to the entrance in certain regions of the ...
Azevedo, Davide +3 more
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H\"older-differentiability of Gibbs distribution functions [PDF]
, 2007 In this paper we give non-trivial applications of the thermodynamic formalism to the theory of distribution functions of Gibbs measures (devil's staircases) supported on limit sets of finitely generated conformal iterated function systems in $\R$.
Kesseböhmer, Marc, Stratmann, Bernd O.
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Markov Chains and Dynamical Systems: The Open System Point of View [PDF]
, 2010 This article presents several results establishing connections be- tween Markov chains and dynamical systems, from the point of view of open systems in physics.
Attal, Stéphane
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Linear drift and entropy for regular covers [PDF]
, 2009 We consider a regular Riemannian cover $\M$ of a compact Riemannian manifold. The linear drift $\ell$ and the Kaimanovich entropy $h$ are geometric invariants defined by asymptotic properties of the Brownian motion on $\M$. We show that $\ell^2 \leq h$
Ledrappier, François
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, 2016 Classical ergodic theory for integer-group actions uses entropy as a complete invariant for isomorphism of IID (independent, identically distributed) processes (a.k.a. product measures). This theory holds for amenable groups as well.
Lyons, Russell
core +1 more source
Path count asymptotics and Stirling numbers [PDF]
, 2010 We obtain formulas for the growth rate of the numbers of certain paths in infinite graphs built on the two-dimensional Eulerian graph. Corollaries are identities relating Stirling numbers of the first and second kinds.Comment: Misprint corrected.
Petersen, K., Varchenko, A.
core +5 more sources
A study on Quantization Dimension in complete metric spaces [PDF]
, 2020 The primary objective of the present paper is to develop the theory of quantization dimension of an invariant measure associated with an iterated function system consisting of finite number of contractive infinitesimal similitudes in a complete metric ...
Roychowdhury, Mrinal K., Verma, S.
core +2 more sources
, 2005 In this paper we characterize possible asymptotics for hitting times in aperiodic ergodic dynamical systems: asymptotics are proved to be the distribution functions of subprobability measures on the line belonging to the functional class {6pt} {-3mm}(A ...
Kupsa, M., Lacroix, Y.
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