Jaime G'omez

activity

20232026

collaborators

8 papers

math.DS2026

On the centralizer and normalizer groups of odometers and Toeplitz subshifts

Jaime Gómez, Samuel Petite

For residually finite groups, we study the automorphism and normalizer groups of odometers and their symbolic extensions: Toeplitz subshifts. In relation to orbit equivalence theor…

math.DS2025

Constructing Toeplitz arrays via cut and project schemes

María Isabel Cortez, Jamal Drewlo, Jaime Gómez +1

We show a one-to-one correspondence between Toeplitz arrays over residually finite topological groups and model sets obtained via specific cut and project schemes, built from the o…

math.DS2025

Sequence entropy and independence in free and minimal actions

Jaime Gómez, Irma León-Torres, Víctor Muñoz-López

For every countable infinite group that admits $Z$ as a homomorphic image, we show that for each $m \in N$ , there exists a minimal action whose topological sequence…

math.AP2025

Multisoliton solutions and blow up for the $L^{2}$ -critical Hartree equation

Jaime Gómez, Tobias Schmid, Yutong Wu

We construct multisoliton solutions for the $L^{2}$ -critical Hartree equation with trajectories asymptotically obeying a many-body law for an inverse square potential. Precisely, we…

math.FA2024

Uniform stability of concentration inequalities and applications

Jaime Gómez, David Kalaj, Petar Melentijević +1

We prove a sharp quantitative version of recent Faber-Krahn inequalities for the continuous Wavelet transforms associated to a certain family of Cauchy wavelet windows . Our result…

math.DS2024

Almost 1-1 extensions of Furstenberg-Weiss type and test for amenability

María Isabel Cortez, Jaime Gómez

Let $G$ be an infinite residually finite group. We show that for every minimal equicontinuous Cantor system $(Z, G)$ with a free orbit, and for every minimal extension $(Y, G)$ of $(…

math.DS2023

Almost automorphic systems have invariant measures

María Isabel Cortez, Jaime Gómez

Let $G$ be a non-amenable countable group. We show that every almost automorphic $G$ -action on a compact Hausdorff space, with a maximal equicontinuous factor whose phase space is…