works on
additive combinatorics 1density Hales-Jewett conjecture 1Furstenberg-Sárközy theorem 1infinite abelian groups 1mixing 1multiple recurrence 1polynomial recurrence 1rigidity groups 1spectral theory 1weak mixing 1

From the 2 of 5 linked papers with an AI index.

collaborators

5 papers

math.DS2026

Polynomial maps which are not good for nice recurrence and applications

Rigoberto Zelada

The paper shows that polynomial maps on the countably infinite-dimensional vector space over the field with two elements can fail to be good for nice recurrence, disproving a conje…

math.DS2026

Coexistence of mixing and rigid behaviors in ergodic theory

Rigoberto Zelada

The paper defines rigidity groups for collections of sequences and shows they have algebraic, spectral, and unitary characterizations, using these to obtain results on mixing, recu…

math.DS2026

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…

math.DS2026

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…

math.DS2026

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 an…