activity
20062026
most citedRecent advances in percolation theory and its applications

432 citations · 986 across the 52 of their papers we have counts for

collaborators

55 papers

cond-mat.dis-nn2026

Discrete Scale Invariance of Ising Mesons

Denis V. Vasilyev, Abbas Ali Saberi

Discrete scale invariance often arises from resonant few-body or singular scale-invariant dynamics. We show that it can instead emerge in the internal motion of a composite excitat…

cond-mat.stat-mech2026

Emergent Equilibrium Structure Along a Critical Cluster Recursion

Shuo Wei, Abbas Ali Saberi, Youjin Deng

Critical universality does not determine the microscopic conditional structure of a probability measure. We study a bicolored cluster recursion constrained to remain critical at ev…

cond-mat.dis-nn2026

A Spectral Route to Directed-Polymer Glasses

Sen Mu, Abbas Ali Saberi, Mehran Kardar

A finite density of mutually avoiding directed polymers in a quenched random medium is a minimal model of glassy line matter. The dilute theory, solved by replica Bethe ansatz, pre…

cond-mat.dis-nn2026

Multifractality at the Integer Quantum Hall Transition: Acquittal of the Parabolic Law

Sen Mu, Abbas Ali Saberi, Martin R. Zirnbauer

Stationary wave functions at the integer quantum Hall transition are known to be multifractal, but the exact form of the multifractality spectrum has remained a subject of debate.…

cond-mat.stat-mech2026

Large-deviation tails of critical order-parameter distributions

Jinhong Zhu, Yihao Xu, Abbas Ali Saberi +1

Large-deviation tails of critical probability distributions provide a sensitive probe of universality beyond standard finite-size scaling. We study these tails for critical percola…

cond-mat.dis-nn2026

Random Matrix Spectra from Boltzmann-Weighted Lattice Ensembles

Yaprak Önder, Abbas Ali Saberi, Roderich Moessner

We introduce a random matrix framework for studying statistical-mechanical lattice systems through spectral observables. Equilibrium configurations sampled from a Boltzmann measure…