Tag Archives: Correspondence principle

On {x+y,xy} patterns in large sets of countable fields

Vitaly Bergelson and I have recently uploaded to the arXiv our joint paper `On patterns in large sets of countable fields‘. We prove a result concerning certain monochromatic structures in countable fields and a corresponding density version. Schur’s Theorem, proved … Continue reading

Posted in Combinatorics, Ergodic Theory, paper, Ramsey Theory | Tagged , , , , , , , , , , | 3 Comments

Sets of nice recurrence

— 1. Introduction — Let be a probability space and be a (measurable) map such that the set has the same measure as the set for all (measurable) sets . We call the triple a measure preserving system. All sets … Continue reading

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