2 citations · 3 across the 4 of their papers we have counts for
5 papers
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…
SIT measures and Transience
Idan Perl
A graph is called (edge)-SIT if for some probability measure on paths, the number of mutual edges in two independent paths has finite mean. We show that transience is equivalent to…
Harmonic functions on locally compact groups of polynomial growth
Idan Perl, Maud Szusterman
We extend a theorem by Kleiner, stating that on a group with polynomial growth, the space of harmonic functions of polynomial of at most is finite dimensional, to the settings…
Polynomials and harmonic functions on discrete groups
Tom Meyerovitch, Idan Perl, Matthew Tointon +1
Alexopoulos proved that on a finitely generated virtually nilpotent group, the restriction of a harmonic function of polynomial growth to a torsion-free nilpotent subgroup of finit…
Extinction window of mean field branching annihilating random walk
Idan Perl, Arnab Sen, Ariel Yadin
We study a model of growing population that competes for resources. At each time step, all existing particles reproduce and the offspring randomly move to neighboring sites. Then a…