Preprints and Publications

• Joint transivitity for linear iterates

(joint with Andreas Koutsogiannis and Wenbo Sun) submitted.

• On recurrence for Z^d-nilsystems

(joint with Felipe Hernández and Alejandro Maass) submitted.

• On partial rigidity of S-adic subshifts

(joint with Alejandro Maass and Tristan Radic) submitted.

• Averages of completely multiplicative functions over the Gaussian integers -- a dynamical approach

(joint with Anh Le, Joel Moreira and Wenbo Sun) to appear in Transactions of the American Mathematical Society.

• Joint ergodicity for functions of polynomial growth

(joint with Andreas Koutsogiannis and Wenbo Sun) to appear in Israel Journal of Mathematics.

• A geometric framework for asymptoticity and expansivity in topological dynamics

(joint with  Alejandro Maass and  Samuel Petite)  to appear in Transactions of the American Mathematical Society.

• Directional mean dimension and continuum-wise expansive ℤ^k-actions

(joint with Lei Jin,  Alejandro Maass and Yixiao Qiao) Proceedings of the American Mathematical Society 150 (2022), no. 11, 4841–4853.

• Decomposition of multicorrelation sequences and joint ergodicity.

(joint with Andreas Koutsogiannis, Andreu Ferre Moragues and Wenbo Sun)  to appear in Ergodic Theory and Dynamical Systems.

• Additive averages of multiplicative correlation sequences and applications.

(joint with Anh Le, Joel Moreira and Wenbo Sun) to appear in Journal d'Analyse Mathématique.

• Strong orbit equivalence and superlinear complexity

(joint with Paulina Cecchi) to appear in Israel Journal of Mathematics.

• Interplay between finite topological rank minimal Cantor systems, $\mathcal{S}$-adic subshifts and their complexity.

(joint with Fabien Durand, Alejandro Maass and Samuel Petite) Transactions of the American Mathematical Society 374 (2021), no. 5, 3453-3489.

• Seminorms for multiple averages along polynomials and applications to joint ergodicity

(joint with Andreas Koutsogiannis and Wenbo Sun) Journal d'Analyse Mathématique 146 (2022), 1-64. 

• Optimal lower bounds for multiple recurrence

(joint with Anh Le, Joel Moreira and Wenbo Sun) Ergodic Theory and Dynamical Systems 41 (2021), no. 2, 379-407.

• Directional dynamical cubes for minimal $\mathbb{Z}^{d}$-systems

(joint with Christopher Cabezas and Alejandro Maass) Ergodic Theory and Dynamical Systems 40 (2020), no. 12, 3257-3295.

• Pointwise multiple averages for sublinear functions

(joint with Andreas Koutsogiannis and Wenbo Sun) Ergodic Theory and Dynamical Systems 40 (2020), no. 6, 1594-1618.

• Quantitative multiple recurrence for two and three transformations 

(joint with Wenbo Sun) Israel Journal of Mathematics 226 (2018), 71–85.

• Pointwise convergence of some multiple ergodic averages

(joint with Wenbo Sun) Advances in Mathematics 330 (2018), 946-996.

• On automorphism groups of Toeplitz subshifts

(joint with Fabien Durand, Alejandro Maass and Samuel Petite), Discrete Analysis 2017:11, 19 pp.

• Pointwise multiple averages for systems with two commuting transformations 

(joint with Wenbo Sun) Ergodic Theory and Dynamical Systems 38(6) (2018), 2132-2157.

• Uniformly rigid models for rigid actions.

(joint with Song Shao) Studia Mathematica 236 (2017), 13-31.

• On automorphisms groups of low complexity subshifts.

(joint with Fabien Durand, Alejandro Maass and Samuel Petite), Ergodic Theory and Dynamical Systems 36 (2016), 64-95.

• A pointwise cubic average for two commuting transformations.

(joint with Wenbo Sun) Israel Journal of Mathematics 216 (2016), no. 2, 657-678. 

• Dynamical cubes and a criteria for systems having product extensions.

(joint with Wenbo Sun) Journal of Modern Dynamics 9 (2015), 365-405.

• Enveloping semigroups of systems of order d.

Discrete and Continuous Dynamical Systems 34 (2014), no. 7, 2729-2740.

• Infinite-step nilsystems, independence and complexity.

(joint with Pandeng Dong, Alejandro Maass, Song Shao and Xiangdong Ye) Ergodic Theory and Dynamical Systems 33 (2013), no. 1, 118-143.