Results 11 to 20 of about 357 (47)
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
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
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
, 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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Extreme Value Laws in Dynamical Systems for Non-smooth Observations [PDF]
, 2010 We prove the equivalence between the existence of a non-trivial hitting time statistics law and Extreme Value Laws in the case of dynamical systems with measures which are not absolutely continuous with respect to Lebesgue.
Ana Cristina +3 more
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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
doaj +1 more source
Extremal dichotomy for uniformly hyperbolic systems [PDF]
, 2015 We consider the extreme value theory of a hyperbolic toral automorphism $T: \mathbb{T}^2 \to \mathbb{T}^2$ showing that if a H\"older observation $\phi$ which is a function of a Euclidean-type distance to a non-periodic point $\zeta$ is strictly ...
Carvalho, Maria +4 more
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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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Computational and Mathematical BiophysicsIn this article, we study a fractional-order prey-predator model incorporating prey refuge and predator harvesting, employing a Holling type III functional response.
Aguegboh Nnaemeka Stanley +5 more
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Computational and Mathematical BiophysicsInfectious illnesses like hepatitis place a heavy cost on global health, and precise mathematical models must be created in order to understand and manage them.
Aguegboh Nnaemeka S. +4 more
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