The fields of thermodynamic formalism and ergodic theory provide a rigorous mathematical framework for understanding complex dynamical systems by recasting ideas from statistical mechanics in a ...

Dynamical systems and ergodic theory constitute a vibrant area of mathematical research that encompasses the study of systems evolving over time, whether these systems originate from physical ...

The Abel Prize, organized by the Norwegian Academy of Science and Letters, is the world's highest honor in mathematics. It was established in memory of Norwegian mathematician Niels Henrik Abel and ...

Hanfeng Li has co-authored a new book with David Kerr, entitled, Ergodic Theory: Independence and Dichotomies. The book provides an introduction to the ergodic theory and topological dynamics of ...

Stochastic Petri networks provide a general formalism for describing the dynamics of discrete event systems. The present paper focuses on a subclass of stochastic Petri networks called stochastic ...

The Norwegian Academy of Science and Letters has awarded the 2014 Abel Prize to Russian-born mathematical physicist Yakov Sinai of Princeton University in New Jersey. The award cites his “fundamental ...

Consider a stochastic process X on a finite state space X = {1,..., d}. It is conditionally Markov, given a real-valued “input process” ζ. This is assumed to be small, which is modeled through the ...