Zobrazeno 1 - 10
of 113
pro vyhledávání: '"Verbitskiy, Evgeny"'
Ruelle's transfer operator plays an important role in understanding thermodynamic and probabilistic properties of dynamical systems. In this work, we develop a method of finding eigenfunctions of transfer operators based on comparing Gibbs measures o
Externí odkaz:
http://arxiv.org/abs/2404.07326
It has often been observed that the Multifractal Formalism and the Large Deviation Principles are intimately related. In fact, Multifractal Formalism was heuristically derived using the Large Deviations ideas. In numerous examples in which the multif
Externí odkaz:
http://arxiv.org/abs/2402.15642
The $\beta$-encoder is an analog circuit that converts an input signal $x \in [0,1]$ into a finite bit stream $\{b_i\}$. The bits $\{b_i\}$ are correlated and therefore are not immediately suitable for random number generation, but they can be used t
Externí odkaz:
http://arxiv.org/abs/2303.13170
In 1964 Lochs proved a theorem on the number of continued fraction digits of a real number $x$ that can be determined from just knowing its first $n$ decimal digits. In 2001 this result was generalised to a dynamical systems setting by Dajani and Fie
Externí odkaz:
http://arxiv.org/abs/2110.14466
We continue the study of random continued fraction expansions, generated by random application of the Gauss and the R\'enyi backward continued fraction maps. We show that this random dynamical system admits a unique absolutely continuous invariant me
Externí odkaz:
http://arxiv.org/abs/2110.05786
Critical intermittency stands for a type of intermittent dynamics in iterated function systems, caused by an interplay of a superstable fixed point and a repelling fixed point. We consider critical intermittency for iterated function systems of inter
Externí odkaz:
http://arxiv.org/abs/2107.02556
Let $f$ be a Laurent polynomial in $d$ commuting variables with integer coefficients. Associated to $f$ is the principal algebraic $\mathbb{Z}^d$-action $\alpha_f$ on a compact subgroup $X_f$ of $\mathbb{T}^{\mathbb{Z}^d}$ determined by $f$. Let $N\g
Externí odkaz:
http://arxiv.org/abs/2104.04408
For a continuous $\mathbb{N}^d$ or $\mathbb{Z}^d$ action on a compact space, we introduce the notion of Bohr chaoticity, which is an invariant of topological conjugacy and which is proved stronger than having positive entropy. We prove that all princ
Externí odkaz:
http://arxiv.org/abs/2103.04767
Autor:
Berghout, Steven, Verbitskiy, Evgeny
We consider processes which are functions of finite-state Markov chains. It is well known that such processes are rarely Markov. However, such processes are often regular in the following sense: the distant past values of the process have diminishing
Externí odkaz:
http://arxiv.org/abs/2101.00608
Publikováno v:
Ergodic Theory & Dynamical Systems; Oct2024, Vol. 44 Issue 10, p2933-2959, 27p
