56 citations · 180 across the 28 of their papers we have counts for
33 papers
Phase transition for recurrence of stationary random walks on lamplighter groups
Itai Benjamini, Guy Blachar, Ariel Yadin
We introduce and study a class of random walks on lamplighter groups , where is a nontrivial finitely generated group and is an infinite finitely generated group, c…
Ensuring Reliable Robot Task Performance through Probabilistic Rare-Event Verification and Synthesis
Guy Scher, Sadra Sadraddini, Ariel Yadin +1
Providing guarantees on the safe operation of robots against edge cases is challenging as testing methods such as traditional Monte-Carlo require too many samples to provide reason…
Full realization of ergodic IRS entropy in SL2(Z) and free groups
Liran Ron-George, Ariel Yadin
We show that any a-priori possible entropy value is realized by an ergodic IRS, in free groups and in SL2(Z). This is in stark contrast to what may happen in SLn(Z) for n>2, where…
Universal inequalities for Dirichlet eigenvalues on discrete groups
Bobo Hua, Ariel Yadin
We prove universal inequalities for Laplacian eigenvalues with Dirichlet boundary conditions on subsets of certain discrete groups. The study of universal inequalities on Riemannia…
Polynomially growing harmonic functions on connected groups
Idan Perl, Ariel Yadin
We study the connection between the dimension of certain spaces of harmonic functions on a group and its geometric and algebraic properties. Our main result shows that (for suffici…
Existence of phase transition for percolation using the Gaussian Free Field
Hugo Duminil-Copin, Subhajit Goswami, Aran Raoufi +2
In this paper, we prove that Bernoulli percolation on bounded degree graphs with isoperimetric dimension undergoes a non-trivial phase transition (in the sense that ).…