The logarithmic Mahler measure of certain multivariate polynomials occurs frequently as the entropy or the free energy of solvable lattice models (especially dimer models). It is also known that the entropy of an algebraic dynamical system is the logarithmic Mahler measure of the defining polynomial. The connection between the lattice models and the algebraic dynamical systems is still rather mysterious
In this thesis, we study some aspects of recurrence in three classes of dynamical systems: padic pol...
Classical dynamical systems involves the study of the long-time behavior of a fixed map or vector fi...
We give examples showing that the Kolmogorov-Sinai entropy generator theorem is false for both upper...
The logarithmic Mahler measure of certain multivariate polynomials occurs frequently as the entropy ...
The goal of this thesis is to provide a unified framework in which to analyze the dynamics of two se...
We give the basic definition of algebraic entropy for lattice equations. The entropy is a canonical ...
We outline the most recent theory for the computation of the exponential growth rate of the number o...
This package contains data and graphics related to the publication: Keisuke Okamura, “Three invaria...
This thesis is concerned with two topics that are of interest for the theory of aperiodic order. In ...
NLA97 : Complex Dynamical Systems : The Second Symposium on Non-Linear Analysis and its Applications...
AbstractConsider all colorings of a finite box in a multidimensional grid with a given number of col...
International audienceBeyond the uncoupled regime, the rigorous description of the dynamics of (piec...
We consider two solvable models with equal entropy on the infinite ladder graph Z x {1, 2}: the unif...
198 pagesIn this thesis, we study some aspects of recurrence in three classes of dynamical systems: ...
In this thesis, we study some aspects of recurrence in three classes of dynamical systems: padic pol...
Classical dynamical systems involves the study of the long-time behavior of a fixed map or vector fi...
We give examples showing that the Kolmogorov-Sinai entropy generator theorem is false for both upper...
The logarithmic Mahler measure of certain multivariate polynomials occurs frequently as the entropy ...
The goal of this thesis is to provide a unified framework in which to analyze the dynamics of two se...
We give the basic definition of algebraic entropy for lattice equations. The entropy is a canonical ...
We outline the most recent theory for the computation of the exponential growth rate of the number o...
This package contains data and graphics related to the publication: Keisuke Okamura, “Three invaria...
This thesis is concerned with two topics that are of interest for the theory of aperiodic order. In ...
NLA97 : Complex Dynamical Systems : The Second Symposium on Non-Linear Analysis and its Applications...
AbstractConsider all colorings of a finite box in a multidimensional grid with a given number of col...
International audienceBeyond the uncoupled regime, the rigorous description of the dynamics of (piec...
We consider two solvable models with equal entropy on the infinite ladder graph Z x {1, 2}: the unif...
198 pagesIn this thesis, we study some aspects of recurrence in three classes of dynamical systems: ...
In this thesis, we study some aspects of recurrence in three classes of dynamical systems: padic pol...
Classical dynamical systems involves the study of the long-time behavior of a fixed map or vector fi...
We give examples showing that the Kolmogorov-Sinai entropy generator theorem is false for both upper...
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