Dr Gustavo Pessil

Gustavo Pessil is interested in Dynamical Systems, Ergodic Theory, and Fractal Geometry. His research focuses particularly on topological dynamical systems with infinite entropy, viewed through the lens of metric mean dimension. He has worked on ergodic aspects of the theory [1], on subshifts with compact alphabets [2], and on connections of this invariant with other metric properties of the system, such as the regularity of the dynamics and the fractal structure of the phase space [3].

Major / recent publications

[1] M. Carvalho, G. Pessil and P. Varandas. A Convex analysis approach to the metric mean dimension: limits of scaled pressures and variational principles. Advances in Mathematics 436 (2024), 109407.

[2] G. Pessil. Metric mean dimension via subshifts of compact type. Nonlinearity 38 (2025) 045018.

[3] M. Carvalho, G. Pessil and A. Baraviera. Metric mean dimension, H¨older regularity and Assouad spectrum. Journal of Fractal Geometry (2025).

And here's a link to all papers . 

Additional Information