Add to ORKGThe 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.
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...
Dynamical zeta functions are an important tool to quantize chaotic dynamical systems. The basic quan...
The logarithmic Mahler measure of certain multivariate polynomials occurs frequently as the entropy ...
We give examples showing that the Kolmogorov-Sinai entropy generator theorem is false for both upper...
We present several general results that show how algebraic dynamical systems with a slow degree grow...
Abstract. We present several general results that show how al-gebraic dynamical systems with a slow ...
The goal of this thesis is to provide a unified framework in which to analyze the dynamics of two se...
We revisit the notion of Kolmogorov-Sinai entropy for classical dynamical systems in terms of an alg...
We give the basic definition of algebraic entropy for lattice equations. The entropy is a canonical ...
The Algebraic Yuzvinski Formula expresses the algebraic entropy of an endomorphism of a finitedimens...
This lecture is a short review on the role entropy plays in those classical dissipative systems whos...
Abstract The main purpose of the paper is to extend the results of Ellerman (Int. J. Semant. Comput....
Classical dynamical systems involves the study of the long-time behavior of a fixed map or vector fi...
Dynamical zeta functions are an important tool to quantize chaotic dynamical systems. The basic quan...
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...
Dynamical zeta functions are an important tool to quantize chaotic dynamical systems. The basic quan...
The logarithmic Mahler measure of certain multivariate polynomials occurs frequently as the entropy ...
We give examples showing that the Kolmogorov-Sinai entropy generator theorem is false for both upper...
We present several general results that show how algebraic dynamical systems with a slow degree grow...
Abstract. We present several general results that show how al-gebraic dynamical systems with a slow ...
The goal of this thesis is to provide a unified framework in which to analyze the dynamics of two se...
We revisit the notion of Kolmogorov-Sinai entropy for classical dynamical systems in terms of an alg...
We give the basic definition of algebraic entropy for lattice equations. The entropy is a canonical ...
The Algebraic Yuzvinski Formula expresses the algebraic entropy of an endomorphism of a finitedimens...
This lecture is a short review on the role entropy plays in those classical dissipative systems whos...
Abstract The main purpose of the paper is to extend the results of Ellerman (Int. J. Semant. Comput....
Classical dynamical systems involves the study of the long-time behavior of a fixed map or vector fi...
Dynamical zeta functions are an important tool to quantize chaotic dynamical systems. The basic quan...
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...
Dynamical zeta functions are an important tool to quantize chaotic dynamical systems. The basic quan...