Pérez, Sebastián A

My research interests focuses on smooth Dynamical Systems (topological, geometrical and statistical aspects). My research it deal about global impacts of local bifurcations (“butterfly effect”) of the dynamical systems. I am especially interested in the generation of robust non-hyperbolic dynamics (heterodimensional cycles and homoclinic tangencies), via bifurcations of heterodimensional cycles in high regularity topologies. Extensions of the classic thermodynamic formalism for the non-hyperbolic setting is also one of my research interests/lines.

♦ Nontransverse heterodimensional cycles : stabilisation and robust tangencies (with Lorenzo J. Díaz), Trans. Amer. Math. Soc. 376 (2023), 891-944. https://doi.org/10.1090/tran/8694.

♦Homoclinic tangencies leading to robust heterodimensional cycles (with Pablo G. Barrientos and Lorenzo J. Díaz), Math. Z. 302, 519–558 (2022). https://doi.org/10.1007/s00209-022-03065-w.

♦Periodic points and measures for a class of skew-products (with Maria Carvalho). Isr. J. Math. (2021). https://doi.org/10.1007/s11856-021-2231-0.

♦ Weak Gibbs measures and equilibrium states (with Maria Carvalho), Dynamical Systems (2020), DOI: 10.1080/14689367.2020.1724886.

♦ Robust heteroclinic tangencies (with Pablo G. Barrientos), Bull Braz Math Soc, New Series (2019). https://doi.org/10.1007/s00574-019-00185-6.

♦ Equilibrium states for a class of skew-products (with Maria Carvalho), Ergodic Theory and Dynamical Systems (2019)., 1-21. doi:10.1017/etds.2019.32.

♦ Hénon-like families and blender-horseshoes at non-transverse heterodimensional cycles (with Lorenzo J. Díaz). Int. J. Bifurcation and Chaos, Vol. 29, No. 03, 1930006 (2019).9.

♦  Blender-horseshoes in Center-unstable Hénon-like Families (with Lorenzo J. Díaz). In: Maria Jose Pacifico; Pablo Guarino. (Org.). Springer Proceedings in Mathematics & Statistics. 1ed.: Springer International Publishing, 2019, v., p. 137-163.