International audienceWe study deviation of ergodic averages for dynamical systems given by self-similar tilings on the plane and in higher dimensions. The main object of our paper is a special family of finitely-additive measures for our systems. An asymptotic formula is given for ergodic integrals in terms of these finitely-additive measures, and, as a corollary, limit theorems are obtained for dynamical systems given by self-similar tilings
This paper is concerned with the concept of linear repetitivity in the theory of tilings. We prove a...
It is shown that stretched exponential form of probability density of the random fractal systems is...
The set Vn of n-vertices of a tile T in \Rd is the common intersection of T with at least n of its n...
International audienceWe study deviation of ergodic averages for dynamical systems given by self-sim...
International audienceThe goal of this paper is to study the action of the group of translations ove...
Abstract. We consider infinite measure-preserving non-primitive self-similar tiling systems in Eucli...
This paper investigates dynamical systems arising from the action by translations on the orbit closu...
AbstractLet G be a group and ϕ:H→G be a contracting homomorphism from a subgroup H<G of finite index...
This dissertation is devoted to the measure theoretical aspects of the theory of automata and groups...
R. Kaufman and M. Tsujii proved that the Fourier transform of self-similar measures has a power deca...
J. M. Fraser and M. Pollicott were financially supported in part by the EPSRC grant EP/J013560/1.We ...
In this paper, we investigate the Hausdorff dimension of the invariant measures of the iterated func...
Consider an iterated function system consisting of similarities on the complex plane of the form $g_...
AbstractWe study asymptotical properties of some particular sequences U = (un)n≥1 of real numbers 0≤...
AbstractGiven a self-similar Dirichlet form on a self-similar set, we first give an estimate on the ...
This paper is concerned with the concept of linear repetitivity in the theory of tilings. We prove a...
It is shown that stretched exponential form of probability density of the random fractal systems is...
The set Vn of n-vertices of a tile T in \Rd is the common intersection of T with at least n of its n...
International audienceWe study deviation of ergodic averages for dynamical systems given by self-sim...
International audienceThe goal of this paper is to study the action of the group of translations ove...
Abstract. We consider infinite measure-preserving non-primitive self-similar tiling systems in Eucli...
This paper investigates dynamical systems arising from the action by translations on the orbit closu...
AbstractLet G be a group and ϕ:H→G be a contracting homomorphism from a subgroup H<G of finite index...
This dissertation is devoted to the measure theoretical aspects of the theory of automata and groups...
R. Kaufman and M. Tsujii proved that the Fourier transform of self-similar measures has a power deca...
J. M. Fraser and M. Pollicott were financially supported in part by the EPSRC grant EP/J013560/1.We ...
In this paper, we investigate the Hausdorff dimension of the invariant measures of the iterated func...
Consider an iterated function system consisting of similarities on the complex plane of the form $g_...
AbstractWe study asymptotical properties of some particular sequences U = (un)n≥1 of real numbers 0≤...
AbstractGiven a self-similar Dirichlet form on a self-similar set, we first give an estimate on the ...
This paper is concerned with the concept of linear repetitivity in the theory of tilings. We prove a...
It is shown that stretched exponential form of probability density of the random fractal systems is...
The set Vn of n-vertices of a tile T in \Rd is the common intersection of T with at least n of its n...
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