Tag Archives: plim

Convergence along ultrafilters – part II

This is the second of a series of two post whose aim is to prove the following recurrence theorem. Recall that a measure preserving system (shortened to m.p.s.) is a quadruple , where is a probability space and preserves the … Continue reading

Posted in Combinatorics, Ergodic Theory, Ramsey Theory | Tagged , , , , | 1 Comment

Convergence along ultrafilters

— 1. Introduction — On my previous post about recurrent theorems I stated Khintchine’s theorem and Sarkozy’s theorem. There I classified Khintchine’s theorem as a theorem about large intersections and Sarkozy’s theorem as a theorem about large recurrent times. This … Continue reading

Posted in Ergodic Theory, Ramsey Theory, Tool | Tagged , , , , | 8 Comments