3 papers
math.DS2026
Stability and limit theorems in random dynamical systems
Davi Lima, Rafael Lucena
The robust statistical description of dynamical systems under perturbations is a central problem in ergodic theory. In this paper, we investigate the statistical properties of skew…
hep-th2025
Effective string theory on a torus: the 3d Ising domain wall
David Lima, J. M. Viana Parente Lopes, Jose Matos +1
We use effective string theory (EST) to describe a toroidal 2d domain wall embedded in a 3d torus. In particular, we compute the free energy of the domain wall in an expansion in i…
math.NT2024
Counting and Hausdorff measures for integers and -adic integers
Davi Lima, Alex Zamudio Espinosa
In this work, we aim to advance the development of a fractal theory for sets of integers. The core idea is to utilize the fractal structure of -adic integers, where is a pri…