Asaf Nachmias

collaborators

8 papers

math.DS2026

Topology and dynamics of unimodular random hyperbolic manifolds

Ilya Gekhtman, Nir Lazarovich, Arie Levit +1

We investigate the relationship between the space of ends of a unimodular random hyperbolic manifold and the dynamics of its geodesic flow. We show that having two ends of infinite…

math.PR2026

Local limits of determinantal processes

Asaf Nachmias, Yuval Peled

Let $H_{n}$ be the row space of a signed adjacency matrix of a $C_{4}$ -free bipartite bi-regular graph in which one part has degree $d (n) \to \infty$ and the other part has degree $k + 1$ …

cs.DS2026

A Tight Bound on Localization of Electrical Flows

Ori Gurel-Gurevich, Asaf Nachmias, Sushant Sachdeva

We prove that for any unweighted graph on n vertices the L1 norm of a unit electric current between the endpoints of a random edge is at most 2 log n. Furthermore, we show that on…

math.SP2026

Determinants of Laplacians on converging hyperbolic surfaces

Renan Gross, Guy Lachman, Asaf Nachmias

Let $S_{k}$ be a sequence of compact hyperbolic surfaces of increasing volume which locally converges to a random rooted surface. We show that if the normalized sum of the reciprocal…

math.PR2025

Critical percolation on the discrete torus in high dimensions

Arthur Blanc-Renaudie, Asaf Nachmias

We consider percolation on the discrete torus $Z_{n}^{d}$ at $p_{c} (Z^{d})$ , the critical value for percolation on the corresponding infinite lattice $Z^{d}$ , and…

math.PR2025

Potentials in recurrent networks: a survey

Asaf Nachmias, Yuval Peres

A nonnegative function on the vertices of an infinite graph G which vanishes at a distinguished vertex o, has Laplacian 1 at o, and is harmonic at all other vertices is called a po…