Publications and preprints

• Thermodynamic formalism for amenable groups and countable state spaces. Joint work with Elmer R. Beltrán, Rodrigo Bissacot, and Luísa Borsato. Journal of the Institute of Mathematics of Jussieu. Published online 2024:1-65.

• Kieffer-Pinsker type formulas for Gibbs measures on sofic groups. Preprint.

• Counting independent sets in amenable groups. Ergodic Theory and Dynamical Systems, 44(4):958-1012, 2024.

• Mixing properties of colourings of the ℤd lattice. Joint work with Noga Alon, Nishant Chandgotia, Alexander Magazinov, and Yinon Spinka. Combinatorics, Probability and Computing, 30(3):360-373, 2021.

• Dismantlability, connectedness, and mixing in relational structures. Joint work with Andrei Bulatov, Víctor Dalmau, and Benoît Larose. Journal of Combinatorial Theory, Series B, 147:37-70, 2021.

• An SMB approach for pressure representation in amenable virtually orderable groups. Journal d'Analyse Mathématique, 142:421-451, 2020.

• Factoring onto ℤd subshifts with the finite extension property. Joint work with Kevin McGoff and Ronnie Pavlov. Proceedings of the American Mathematical Society, 146:5129-5140, 2018.

• The topological strong spatial mixing property and new conditions for pressure approximation. Ergodic Theory and Dynamical Systems, 38(5):1658-1696, 2018.

• Strong spatial mixing in homomorphism spaces. Joint work with Ronnie Pavlov. SIAM Journal on Discrete Mathematics, 31(3):2110-2137, 2017.

• Representation and poly-time approximation for pressure of ℤ2 lattice models in the non-uniqueness region. Joint work with Stefan Adams, Brian Marcus, and Ronnie Pavlov. Journal of Statistical Physics, 162(4):1031-1067, 2015.

• Solving the density classification problem with a large diffusion and small amplification cellular automaton. Joint work with Pablo Moisset de Espanés, Axel Osses, and Ivan Rapaport. Physica D: Nonlinear Phenomena, 261:70-80, 2013.

• Letting Alice and Bob choose which problem to solve: implications to the study of cellular automata. Joint work with Ivan Rapaport. Theoretical Computer Science, 468:1-11, 2013.

Conference proceedings

• Dismantlability, connectedness, and mixing in relational structures. Joint work with Andrei Bulatov, Víctor Dalmau, and Benoît Larose. In 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019).

• The structure of communication problems in cellular automata. Joint work with Pierre-Etienne Meunier. In 17th International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA 2011).

Tutorials

• Communication complexity meets cellular automata: Necessary conditions for intrinsic universality. Joint work with Ivan Rapaport. Natural Computing, 20(2): 307-320, 2021.

Theses

• Combinatorial aspects of spatial mixing and new conditions for pressure representation. University of British Columbia. Vancouver, Canada.

• Complejidad comunicacional y universalidad intrínseca en autómatas celulares unidimensionales. Universidad de Chile. Santiago, Chile.