Showing cond-mat.stat-mechShow all
3 papers · 1 filter
cond-mat.stat-mech2026
Statistical complexity from fluctuations in the information content
Renio S. Mendes, Sergio Picoli, Evaldo M. F. Curado
We argue that the variance of the information content (), an information-theoretic quantity, can be naturally interpreted as a measure of statistical complexity. We show that $C…
cond-mat.stat-mech2026
Emergent heavy-tailed distributions from a Markovian random walk
Henrique S. Lima, Evaldo M. F. Curado
The emergence of heavy-tailed statistics in complex systems is conventionally attributed to non-local stochastic jumps or non-Markovian memory. Here, we present a one-dimensional r…
cond-mat.stat-mech2025
Relativistic Lévy processes
Lucas G. B. de Souza, M. G. E. da Luz, E. P. Raposo +2
We study sums of independent and identically distributed random velocities in special relativity. We show that the resulting one-dimensional velocity distributions are not only sta…