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20112026
most citedSeminorms for multiple averages along polynomials and applications to joint ergodicity

14 citations · 34 across the 30 of their papers we have counts for

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math.DS2026

Entropy and complexity in a strong orbit equivalence class via pseudo-Toeplitz subshifts

Paulina Cecchi-Bernales, Sebastián Donoso

We develop a method for constructing minimal subshifts with a prescribed bound on the factor complexity within any strong orbit equivalence (SOE) class. This implies realizations o…

math.DS2026

Non-determinism in group actions and topological minimal self-joinings

Nicolás Bitar, Sebastián Donoso, Samuel Petite

We study the topological and geometrical aspects of non-determinism in group actions, generalizing the notion of non-expansive direction for abelian actions. Under suitable conditi…

math.DS2026

Ergodic averages for commutative transformations along return times

Sebastián Donoso, Sovanlal Mondal, Vicente Saavedra-Araya

In this paper, we extend recent results on the convergence of ergodic averages along sequences generated by return times to shrinking targets in rapidly mixing systems, partially a…

math.DS2026

Pointwise ergodic averages along the Omega function in number fields

Diego Céspedes, Sebastián Donoso

We study a general criterion for guaranteeing that an ergodic average exhibits the strong sweeping-out property. This result implies, in particular, the failure of pointwise conver…

math.DS2025

Resolving the joint ergodicity problem for Hardy sequences

Sebastián Donoso, Andreas Koutsogiannis, Borys Kuca +2

The joint ergodicity classification problem aims to characterize those sequences which are jointly ergodic along an arbitrary dynamical system if and only if they satisfy two natur…

math.DS2025

Asymptoticity, automorphism groups and strong orbit equivalence

Haritha Cheriyath, Sebastián Donoso

Given any strong orbit equivalence class of minimal Cantor systems and any cardinal number that is finite, countable, or the continuum, we show that there exists a minimal subshift…