J. Mengue

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math.DS2025

Optimal transportation and pressure at zero temperature

Jairo K. Mengue

Given two compact metric spaces $X$ and $Y$ , a Lipschitz continuous cost function $c$ on $X \times Y$ and two probabilities $I^¼ \in P (X), I^½ \in P (Y)$ , we propose…

math.DS2024

Idempotent approach to level-2 variational principles in Thermodynamical Formalism

A. O. Lopes, J. K. Mengue, E. R. Oliveira

In this work we introduce an idempotent pressure to level-2 functions and its associated density entropy. All this is related to idempotent pressure functions which is the natural…

math.DS2024

Large deviation for Gibbs probabilities at zero temperature and invariant idempotent probabilities for iterated function systems

Jairo. K. Mengue, Elismar R. Oliveira

We consider two compact metric spaces $J$ and $X$ and a uniform contractible iterated function system ${I ¨ _{j} : X \to X ∣ j \in J}$ . For a Lipschitz continuous function $A$ …

math.DS2024

Invariant measures for place dependent idempotent iterated function systems

Jairo K. Mengue, Elismar R. Oliveira

We study the set of invariant idempotent probabilities for place dependent idempotent iterated function systems defined in compact metric spaces. Using well-known ideas from dynami…