Results 11 to 20 of about 209 (46)
Markov Chains and Dynamical Systems: The Open System Point of View [PDF]
This article presents several results establishing connections be- tween Markov chains and dynamical systems, from the point of view of open systems in physics.
Attal, Stéphane
core +4 more sources
Wiener Process with Reflection in Non-Smooth Narrow Tubes [PDF]
Wiener process with instantaneous reflection in narrow tubes of width {\epsilon}
Spiliopoulos, Konstantinos
core +2 more sources
Exponential inequalities and functional estimations for weak dependent datas ; applications to dynamical systems [PDF]
We estimate density and regression functions for weak dependant datas. Using an exponential inequality obtained by Dedecker and Prieur and in a previous article of the author, we control the deviation between the estimator and the function itself.
Maume-Deschamps, Véronique
core +3 more sources
Invariant monotone coupling need not exist
We show by example that there is a Cayley graph, having two invariant random subgraphs X and Y, such that there exists a monotone coupling between them in the sense that $X\subset Y$, although no such coupling can be invariant.
Mester, Péter
core +1 more source
A study on Quantization Dimension in complete metric spaces [PDF]
The primary objective of the present paper is to develop the theory of quantization dimension of an invariant measure associated with an iterated function system consisting of finite number of contractive infinitesimal similitudes in a complete metric ...
Roychowdhury, Mrinal K., Verma, S.
core +2 more sources
Uniform convergence of Vapnik--Chervonenkis classes under ergodic sampling [PDF]
We show that if $\mathcal{X}$ is a complete separable metric space and $\mathcal{C}$ is a countable family of Borel subsets of $\mathcal{X}$ with finite VC dimension, then, for every stationary ergodic process with values in $\mathcal{X}$, the relative ...
Adams, Terrence M., Nobel, Andrew B.
core +4 more sources
We 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
Rare Events for the Manneville-Pomeau map [PDF]
We prove a dichotomy for Manneville-Pomeau maps $f:[0,1]\to [0, 1]$: given any point $\zeta\in [0,1]$, either the Rare Events Point Processes (REPP), counting the number of exceedances, which correspond to entrances in balls around $\zeta$, converge in ...
Freitas, Ana Cristina Moreira+3 more
core +5 more sources
Infectious 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
doaj +1 more source
Relative complexity of random walks in random sceneries
Relative complexity measures the complexity of a probability preserving transformation relative to a factor being a sequence of random variables whose exponential growth rate is the relative entropy of the extension.
Aaronson, Jon
core +1 more source