Ergodic Theory: Recurrence

2007/04/30 by Nikos Frantzikinakis, Randall McCutcheon, Frantzikinakis, Nikos +1
Mathematics · Economics, Econometrics and Finance · #Advanced Topology and Set Theory #Mathematical Dynamics and Fractals #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.0705.0033

Abstract

We survey the impact of the Poincaré recurrence principle in ergodic theory, especially as pertains to the field of ergodic Ramsey theory.

Related

• Multiple recurrence and the structure of probability-preserving systems
• Ergodic Methods in Additive Combinatorics
• Ergodic-theoretic implementations of the Roth density-increment argument
• Sets of k-recurrence but not (k+1)-recurrence
• Recurrence Theorems: a unified account