Results 1 to 10 of about 357 (47)
Computational and Mathematical Biophysics, 2023 This article consists of a detailed and novel stochastic optimal control analysis of a coupled non-linear dynamical system. The state equations are modelled as an additional food-provided prey–predator system with Holling type III functional response for
Prakash Daliparthi Bhanu +1 more
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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.
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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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BROOKS’ THEOREM FOR MEASURABLE COLORINGS
Forum of Mathematics, Sigma, 2016 We generalize Brooks’ theorem to show that if $G$ is a Borel graph on a standard Borel space $
CLINTON T. CONLEY +2 more
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ADDITIVITY PROPERTIES OF SOFIC ENTROPY AND MEASURES ON MODEL SPACES
Forum of Mathematics, Sigma, 2016 Sofic entropy is an invariant for probability-preserving actions of sofic groups. It was introduced a few years ago by Lewis Bowen, and shown to extend the classical Kolmogorov–Sinai entropy from the setting of amenable groups.
TIM AUSTIN
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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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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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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
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An Abramov formula for stationary spaces of discrete groups [PDF]
, 2012 Let (G,mu) be a discrete group equipped with a generating probability measure, and let Gamma be a finite index subgroup of G. A mu-random walk on G, starting from the identity, returns to Gamma with probability one.
Abramov +8 more
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