Topological entropy in totally disconnected locally compact groups [PDF]
Let $G$ be a topological group, let $\phi$ be a continuous endomorphism of $G$ and let $H$ be a closed $\phi$-invariant subgroup of $G$. We study whether the topological entropy is an additive invariant, that is, $$h_{top}(\phi)=h_{top}(\phi ...
Bruno, Anna Giordano, Virili, Simone
core +2 more sources
Short time existence and uniqueness in Hölder spaces for the 2D dynamics of dislocation densities [PDF]
In this paper, we study the model of Groma and Balogh describing the dynamics of dislocation densities. This is a two-dimensional model where the dislocation densities satisfy a system of two transport equations.
El Hajj, Ahmad
core +5 more sources
Multi Ping-Pong and an Entropy Estimate in Groups [PDF]
We provide an entropy estimate from below for a finitely generated group of transformation of a compact metric space which contains a ping-pong game with several players located anywhere in the ...
Candel +7 more
core +1 more source
In this note I present the main results about the quantitative and qualitative propagation of chaos for the Boltzmann-Kac system obtained in collaboration with C. Mouhot in \cite{MMinvent} which gives a possible answer to some questions formulated by Kac
Mischler, Stéphane
core +2 more sources
Liderazgo y desempeño laboral en los funcionarios de banca pyme de Scotiabank Perú S.A.A., 2021 [PDF]
La revisión realizada sobre el estudio titulado Liderazgo y Desempeño Laboral en los funcionarios de Banca Pyme de Scotiabank Perú SAA, 2021, que contempló como propósito determinar la relación entre ambas variables y el contexto mencionado ...
Adanaque Juarez, Alex Ivan
core
Entropy of continuous maps on quasi-metric spaces [PDF]
The category of metric spaces is a subcategory of quasi-metric spaces. In this paper the notion of entropy for the continuous maps of a quasi-metric space is extended via spanning and separated sets.
Moghayer, Saeed M. +2 more
core
Convexity of quasi-entropy type functions: Lieb's and Ando's convexity theorems revisited
Given a positive function $f$ on $(0,\infty)$ and a non-zero real parameter $\theta$, we consider a function $I_f^\theta(A,B,X)=Tr X^*(f(L_AR_B^{-1})R_B)^\theta(X)$ in three matrices $A,B>0$ and $X$. In the literature $\theta=\pm1$ has been typical.
Hiai, Fumio, Petz, Denes
core +2 more sources
Quantitative and qualitative Kac's chaos on the Boltzmann's sphere
We investigate the construction of chaotic probability measures on the Boltzmann's sphere, which is the state space of the stochastic process of a many-particle system undergoing a dynamics preserving energy and momentum.
Carrapatoso, Kleber
core +4 more sources
Global existence for a system of non-linear and non-local transport equations describing the dynamics of dislocation densities [PDF]
In this paper, we study the global in time existence problem for the Groma-Balogh model describing the dynamics of dislocation densities. This model is a two-dimensional model where the dislocation densities satisfy a system of transport equations such ...
A. Córdoba +29 more
core +8 more sources
Existence and uniqueness for a nonlinear parabolic/Hamilton-Jacobi coupled system describing the dynamics of dislocation densities [PDF]
We study a mathematical model describing the dynamics of dislocation densities in crystals. This model is expressed as a one-dimensional system of a parabolic equation and a first order Hamilton-Jacobi equation that are coupled together.
Ibrahim, Hassan
core +3 more sources

