Equilibrium States for Partially Hyperbolic Systems


Thermodynamic formalism is a powerful set of techniques that permit very fine description of dynamical properties. The sucess of these methods in the context of hyperbolic dynamics is one the major achievements of smooth ergodic theory in the XX century. The problem is that when one relaxes the hyperbolicity hypothesis the panorama becomes much harder to deal with, particularly due to the lack of simple symbolic models.

Together with Federico Rodriguez-Hertz (PSU) we are investigating a different approach to the problem, employing geometrical methods that do not rely on the symbolic description.



Publications


Geometrical constructions of equilibrium states


Pablo D. Carrasco, Federico Rodriguez Hertz


Mathematics Research Reports, 2021, pp. 45-54


Equilibrium states for center isometries


Pablo D. Carrasco, Federico Rodriguez Hertz


arXiv 2103.07323, 2021