Results 1 to 10 of about 48 (48)
Limit Theorems for a class of unbounded observables with an application to "Sampling the Lindelöf hypothesis" [PDF]
, 2023 The article archived on this institutional repository is a preprint available online at arXiv:2302.13807v1 [math.DS], https://doi.org/10.48550/arXiv.2302.13807 . It has not been certified by peer review.MSC classes: 37A50, 60F05, 37A44, 11M06We prove the
Schindler, TI, Fernando, K
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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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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
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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
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Limit theorems for a class of unbounded observables with an application to ‘Sampling the Lindelöf hypothesis’ [PDF]
MSC classification: Primary: 37A50: Relations with probability theory and stochastic processes Secondary: 60F05: Central limit and other weak theorems 11M06: zeta(s) and L(s,chi)We prove the central limit theorem (CLT), the first-order Edgeworth ...
Schindler, TI, Fernando, K
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Forum of Mathematics, SigmaWe prove a full measurable version of Vizing’s theorem for bounded degree Borel graphs, that is, we show that every Borel graph $\mathcal {G}$ of degree uniformly bounded by $\Delta \in \mathbb {N}$ defined on a standard probability space
Jan Grebík
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The Limit Theorems for Transportation Networks [PDF]
, 2007 2000 Mathematics Subject Classi cation: 60K25 (primary); 60F05, 37A50 (secondary)The questions of ergodicity and of existence of explicit formulas for the stationary distribution are examined for various types of transportation networks which can be ...
Sergeev, A., G. Afanasieva, L.
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