L. Cioletti

activity

20042020

most citedOn the general one-dimensional XY Model: positive and zero temperature, selection and non-selection

40 citations · 133 across the 19 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.DS2014★ 16 cited

Phase Transitions in One-dimensional Translation Invariant Systems: a Ruelle Operator Approach

Leandro M. Cioletti, Artur O. Lopes

We consider a family of potentials f, derived from the Hofbauer potentials, on the symbolic space Omega=\{0,1\}^\mathbb{N} and the shift mapping $σ$ acting on it. A Ruelle operator…

math.AP2014★ 1 cited

Equivalence of optimal $L^{1}$ -inequalities on Riemannian Manifolds

Jurandir Ceccon, Leandro Cioletti

Let $(M, g)$ be a smooth compact Riemannian manifold of dimension $n \geq 2$ . This paper concerns to the validity of the optimal Riemannian $L^{1}$ -Entropy inequality \[ {\bf Ent}_{dv…

math.DS2014

Interactions, Specifications, DLR probabilities and the Ruelle Operator in the One-Dimensional Lattice

Leandro Cioletti, Artur O. Lopes

In this paper, we describe several different meanings for the concept of Gibbs measure on the lattice $N$ in the context of finite alphabets (or state space). We compare a…

Phase Transitions in One-dimensional Translation Invariant Systems: a Ruelle Operator Approach

Equivalence of optimal L1-inequalities on Riemannian Manifolds

Interactions, Specifications, DLR probabilities and the Ruelle Operator in the One-Dimensional Lattice

Equivalence of optimal $L^{1}$ -inequalities on Riemannian Manifolds