Research
Articles
[1] (with P. Varandas) Multifractal analysis for weak Gibbs measures: from large deviations to irregular sets. Ergodic Theory and Dynamical Systems, 2015.
http://dx.doi.org/10.1017/etds.2015.46
[2] (with P. Varandas) Multifractal analysis of the irregular set for almost-additive sequences via large deviations, Nonlinearity, 28, 3563-3585, 2015.
[3] (with A. Castro and P. Varandas) Differentiability of thermodynamical quantities in non-uniformly expanding dynamics. Advances in Mathematics, Volume 292, Pages 478–528, 2016
[4] (with M. J. Torres and P. Varandas) Topological features of flows with the reparametrized gluing orbit property. Journal of Differential Equations, Volume 262, Pages 4292-4313, 2017.
http://dx.doi.org/10.1016/j.jde.2017.01.008
[5] (with A. Castro) Linear response, and consequences for differentiability of statistical quantities and Multifractal Analysis. Journal of Statistical Physics, Volume 174 (1), Pages 135-159, 2019.
https://doi.org/10.1007/s10955-018-2174-y
[6] (with P. Varandas) The gluing orbit property, uniform hyperbolicity and large deviations principles for semiflows. Journal of Differential Equations, Volume 267 (1), Pages 228-266, 2019.
https://doi.org/10.1016/j.jde.2019.01.010
[7] (with M. J. Torres and P. Varandas) The gluing orbit property and partial hyperbolicity. Journal of Differential Equations, Volume 272, Pages 203-221, 2021.
https://doi.org/10.1016/j.jde.2020.09.040
[8] (with Rong Rong Huo, Paulo Varandas and Yun Zhao) Typical properties of ergodic optimization for asymptotically additive potentials. Stochastics and Dynamics, Volume 23, No. 1, 2023.
https:///dx.doi.org/10.1142/S0219493722500241
[9] (with Victor Carneiro) Thermodynamical and spectral phase transition for local diffeomorphisms in the circle. Nonlinearity, Volume 36, Number 12, Pages 6513-6545, 2023.
https://doi.org/10.1088/1361-6544/ad0213
https://arxiv.org/abs/2106.08436
Preprints
[10] (with Victor Carneiro and Afonso Fernandes) From thermodynamic and spectral phase transitions to multifractal analysis. 2022.
[11] (with Paulo Varandas) Phase transitions for surface diffeomorphisms. 2022.
https://arxiv.org/abs/2301.10238
[12] (with Afonso Fernandes) Phase transitions for transitive local diffeomorphism with break points on the circle and Holder continuous potentials. 2023.
https://arxiv.org/abs/2310.07034
In preparation
Topological rank of dynamical groups