Results 1 to 10 of about 209 (46)
Random entropy and recurrence [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 47, Page 2977-2988, 2003., 2003 We show that a cocycle, which is nothing but a generalized random walk with index set ℤd, with bounded step sizes is recurrent whenever its associated random entropy is zero, and transient whenever its associated random entropy is positive.
Dajani, K., Meester, R.W.J.
core +5 more sources
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
doaj +1 more source
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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Extreme Value Laws for sequences of intermittent maps [PDF]
, 2016 We study non-stationary stochastic processes arising from sequential dynamical systems built on maps with a neutral fixed points and prove the existence of Extreme Value Laws for such processes.
Freitas, Ana Cristina Moreira +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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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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On the application of ergodic theory to alternating Engel series
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 12, Page 813-819, 2001., 2001 We investigate the ergodic behaviour of the basic operator which generates the modified Engel‐type alternating series representations of any number in (0, 1] in terms of rationals.
C. Ganatsiou
wiley +1 more source
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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On some properties of the Lüroth‐type alternating series representations for real numbers
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 6, Page 367-373, 2001., 2001 We investigate some properties connected with the alternating Lüroth‐type series representations for real numbers, in terms of the integer digits involved. In particular, we establish the analogous concept of the asymptotic density and the distribution of the maximum of the first n denominators, by applying appropriate limit theorems.
C. Ganatsiou
wiley +1 more source
, 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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