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Carllos Eduardo Holanda

Postdoctoral researcher

Curriculum Vitae google-scholar link

About me

I obtained my PhD in Mathematics at Instituto Superior Técnico, University of Lisbon.

Research interests

My main area of research is ergodic theory and dynamical systems. In particular, I have been working in dimension theory, multifractal analysis and thermodynamic formalism. Recently, I've also become interested in the intersection of dynamical systems and machine learning theory.

Email: c.eduarddo at gmail dot com

Papers

A Livšic-type theorem and some regularity properties for nonadditive sequences of potentials (2023).

C. Holanda and E. Santana

Preprint
Asymptotically additive families of functions and a physical equivalence problem for flows (2022).

C. Holanda

Preprint
Nonlinear thermodynamic formalism for flows, Dynamical Systems (2022).

L. Barreira and C. Holanda

Preprint
Dimension spectra for flows: future and past, Nonlinear Anal. Real World Appl. 65 (2022).

L. Barreira and C. Holanda

Preprint
Higher-dimensional nonlinear thermodynamic formalism, J. Stat. Phys. 187, 18 (2022).

L. Barreira and C. Holanda

Preprint
Hyperbolicity of delay equations via cocycles, Journal of Difference Equations and Applications (2021).

L. Barreira, C. Holanda and C. Valls

Preprint
Equilibrium and Gibbs measures for flows, Pure and Applied Functional Analysis 6 (2021).

L. Barreira and C. Holanda

Preprint
Almost additive multifractal analysis for flows, Nonlinearity 34 (2021).

L. Barreira and C. Holanda

Preprint
Nonadditive topological pressure for flows, Nonlinearity 33 (2020).

L. Barreira and C. Holanda

Preprint

Unpublished Works

Nonadditive thermodynamic formalism and multifractal analysis for flows, PhD. thesis, Mathematics, 2022.

C. Holanda

Homogeneous dynamics: an introduction to Ratner’s theorems for unipotent flows, notes, 2018.

C. Holanda

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Thermodynamic formalism and the Ising model, M.Sc. dissertation, Mathematics, 2017.

C. Holanda

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Detemination of ideal states for cubic equations of state, B.Sc. dissertation, Chemical Engineering, 2015.

C. Holanda

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