3 citations · 6 across the 10 of their papers we have counts for
4 papers · 1 filter
Polynomial maps which are not good for nice recurrence and applications
Rigoberto Zelada
Let be the finite field with two elements and let denote the countably infinite-dimensional vector space over . We show that, unlike the…
Sets of large values of polynomial multi-correlation functions
Vitaly Bergelson, Rigoberto Zelada
Let be non-constant polynomials with zero constant term. The ergodic theoretical proofs of the polynomial and the IP-polynomial Szemeredi theorems a…
Multipliers and Disjointness from Mixing
Sohail Farhangi, Joel Moreira, Rigoberto Zelada
In 2005, Parreau proved that if a measure preserving system is not strongly mixing then it contains a non-trivial factor that is disjoint from every strongly mixing system. Taking…
Weak mixing for area preserving flows on surfaces
Adam Kanigowski, Alexey Okunev, Rigoberto Zelada
Let be an area-preserving smooth flow on a compact, connected, orientable surface with at least one but finitely many fixed points. Assume that is anal…