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Publications Influence

Lyapunov minimizing measures for expanding maps of the circle

- G. Contreras, A. Lopes, P. Thieullen
- Mathematics
- Ergodic Theory and Dynamical Systems
- 1 October 2001

We consider the set of maps f\in\mathcal{F}_{\alpha+} = \cup_{\beta>\alpha} \mathcal{C}^{1+\beta} of the circle which are covering maps of degree D, expanding, \min_{x\in S^1}f'(x) >1 and orientation… Expand

143 9- PDF

Entropy and variational principle for one-dimensional lattice systems with a general a priori probability: positive and zero temperature

- A. Lopes, J. Mengue, J. Mohr, R. Souza
- Mathematics, Physics
- Ergodic Theory and Dynamical Systems
- 11 October 2012

We generalize several results of the classical theory of thermodynamic formalism by considering a compact metric space $M$ as the state space. We analyze the shift acting on $M^{\mathbb{N}}$ and… Expand

62 8- PDF

The theta group and the continued fraction expansion with even partial quotients

- C. Kraaikamp, A. Lopes
- Mathematics
- 1 March 1996

F. Schweiger introduced the continued fraction with even partial quotients. We will show a relation between closed geodesics for the theta group (the subgroup of the modular group generated by z+2… Expand

32 7- PDF

Exact bounds for the polynomial decay of correlation, 1/f noise and the CLT for the equilibrium state of a non-Hölder potential

We analyse the correlation and limit behaviour of partial sums for the stationary stochastic process (f(Tt(x)),µ),t = 0,1,..., for functions f of superpolynomial variation, the class defined below… Expand

35 3- PDF

Ruelle Operator for Continuous Potentials and DLR-Gibbs Measures

- L. Cioletti, A. Lopes
- Mathematics, Physics
- 12 August 2016

In this work we study the Ruelle Operator associated to a continuous potential defined on a countable product of a compact metric space. We prove a generalization of Bowen's criterion for the… Expand

20 3- PDF

Ergodic optimization, zero temperature limits and the max-plus algebra

- A. Baraviera, R. Leplaideur, A. Lopes
- Mathematics
- 10 May 2013

Lecture notes of a course at the Brazilian Mathematical Colloquium. We review some basic notions in ergodic theory and thermodynamic formalism, as well as introductory results in the context of… Expand

44 2- PDF

Entropy and large deviation

- A. Lopes
- Mathematics
- 1 May 1990

The author shows the existence of a deviation function for the maximal measure mu of a hyperbolic rational map of degree d. He relates several results of large deviation with the thermodynamic… Expand

60 2

The dimension spectrum of the maximal measure

- A. Lopes
- Mathematics
- 1 September 1989

A variety of complicated fractal objects and strange sets appears in nonlinear physics. In diffusion-limited aggregation, the probability of a random walker landing next to a given site of the… Expand

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