Preprints

• Dynamical pair assignments (with Udayan B. Darji), arXiv:2501.12952, 2025.

• Local entropy theory and applications (with Hanfeng Li), arXiv:2401.10012, 2024.

• Local entropy theory and descriptive complexity, (with Udayan B. Darji), arXiv:2107.09263, 2023.

Papers

• Cellular automata, percolation and dynamical dichotomies, (with Sebastián Barbieri and Siamak Taati), Transactions of the American Mathematical Society (to appear).

• Coincidence rank and multivariate equicontinuity, (with Irma León-Torres), Nonlinearity (accepted).

• Transcendence and normality of complex numbers via Hurwitz continued fractions (with Gerardo González Robert, and Mumtaz Hussain), International Mathematics Research Notices 2024.23 (2024) 14289–14320 . arXiv 

• Local mean dimension theory for sofic group actions (with Yonatan Gutman), Groups, Geometry and Dynamics (published online first ). arXiv 

• Measures of maximal entropy of bounded density shifts (with Ronnie Pavlov and Carlos Reyes), Ergodic Theory and Dynamical Systems 44.10 (2024):2960 - 2974.  arXiv

• Measure-theoretic sequence entropy pairs and mean sensitivity (with Víctor Muñoz-López), Ergodic Theory and Dynamical Systems, 44.6 (2024) :1531 - 1540. arXiv

• Markovian properties of continuous group actions: algebraic actions, entropy and the homoclinic group (with Sebastián Barbieri and Hanfeng Li), Advances in Mathematics 397 (2022).  arXiv

• On topological models of zero entropy loosely Bernoulli systems (with Dominik Kwietniak), Transactions of the American Mathematical Society 375 (2022) 6155-6178 . arXiv 

• Local non-periodic order and diam-mean equicontinuity on cellular automata (with Luguis de los Santos Baños), Dynamical Systems 37.4  (2022).  arXiv

• Mean equicontinuity and mean sensitivity on cellular automata (with Luguis de los Santos Baños), Ergodic Theory and Dynamical Systems 41.12 (2021):3704 -3721. arXiv

• Mean equicontinuity, almost automorphy and regularity (with Tobias Jäger and Xiangdong Ye), Israel Journal of Mathematics 243.1 (2021):155-183. arXiv

• A hierarchy of topological sytems with completely positve entropy (with Sebastián Barbieri), Journal d'Analyse Mathematique 143.2 (2021):639–680. arXiv

• Extender sets and measures of maximal entropy for subshifts (with Ronnie Pavlov), Journal of the London Mathematical Society 100.3 (2019) 1013-1033. arXiv

• When is a dynamical system mean sensitive? (with Jie Li and Ruifeng Zhang), Ergodic Theory and Dynamical Systems, 39.6 (2019): 1608-1636. arXiv

• Mean sensitive, mean equicontinuous and almost periodic functions for dynamical systems (with Brian Marcus), Discrete and Continuous Dynamical Systems -A, 39.2 (2019): 729-746. arXiv

• Mean proximality and mean Li-Yorke chaos (with Lei Jin), Proceedings of the American Mathematical Society 145 (2017): 2959-2969. arXiv

• Weak forms of topological and measure theoretical equicontinuity: relationships with discrete spectrum and sequence entropy, Ergodic Theory and Dynamical Systems, 37.4, (2017): 1211-1237. arXiv

• A characterization of μ-equicontinuity, Proceedings of the American Mathematical Society, 145 (2017): 3357-3368. arXiv

• Limit behaviour of μ-equicontinuous cellular automata, Theoretical Computer Science, 623 (2016) 2-14. arXiv

• Product decomposition of surjective 2-block NCCA, Discrete Mathematics & Theoretical Computer Science (2012): 147-158.

Conference proceedings

• Weak forms of equicontinuity,  in Spectral Structures and Topological Methods in Mathematical Quasicrystals,  Oberwolfach Reports 14.4  (2017): 2799–2802. PDF

• The relation of conjugacy of Cantor minimal systems,  in Aspects of aperiodic order,  Oberwolfach Reports 20.3: 2107–2178  (2024).
  
  Unpublished manuscripts

• A note on derivatives, expansions and $\Pi_1^1$-ranks (with Udayan B. Darji), unpublished note.