Results 1 to 10 of about 361 (48)
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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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. This generalizes a well‐known one‐dimensional result and implies a Polya type dichotomy for this situation.
Karma Dajani, Ronald Meester
wiley +1 more source
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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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
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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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
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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