2 papers
cond-mat.stat-mech2026
Incidence-based random walks on simplicial complexes
C. T. Martínez-Martínez, Francisco J. Sevilla
We introduce an incidence-based random walk on the edges of a random two-dimensional simplicial complex with a complete -skeleton and independently retained triangular faces. Th…
math.CO2025
On the distribution of topological and spectral indices on random graphs
C. T. MartÃnez-MartÃnez, R. Aguilar-Sánchez, J. A. Méndez-Bermúdez
We perform a detailed statistical study of the distribution of topological and spectral indices on random graphs in a wide range of connectivity regimes. First, we consid…