V. Berthé, P. Cecchi Bernales, B. Espinoza, Continuous eigenvalues of minimal subshifts via S-adic representations, Preprint.

V. Berthé, P. Cecchi Bernales, R. Yassawi. Coboundaries and eigenvalues of finitary S-adic systems, Journal of Modern Dynamics, 2025, 21: 271-325, doi: 10.3934/jmd.2025004 

P. Cecchi Bernales, M. I. Cortez, J. Gómez. Invariant measures of Toeplitz subshifts on non-amenable groups, Ergodic Theory and Dynamical Systems , Volume 44 , Issue 11 , November 2024 , pp. 3186 - 3215, doi: https://doi.org/10.1017/etds.2024.16

P. Cecchi Bernales, S. Donoso. Strong orbit equivalence and superlinear complexity, to appear in Israel Journal of Mathematics.

V. Berthé, P. Cecchi Bernales, F. Durand, J. Leroy, D. Perrin, S. Petite. On the dimension group of unimodular S-adic subshifts. Monatshefte für Mathematik (194), 2021.

V. Berthé, P. Cecchi Bernales.  Balancedness and coboundaries in symbolic systems.  Theoretical Computer Science (777), 2019. 

P. Cecchi Bernales, M.I. Cortez. Invariant measures for actions of congruent monotileable amenable groups. Groups Geometry and Dynamics (13), 2019.

P. Cecchi Bernales, R. Tiedra de Aldecoa. Furstenberg transformation on cartesian products of infinite-dimensional tori. Potential Analysis 44-1 (2016).