123 citations · 651 across the 93 of their papers we have counts for
5 papers · 1 filter
Continuous vs discrete spins in the hyperbolic plane
Itai Benjamini, Gady Kozma
We study the model on graphs quasi-isometric to the hyperbolic plane, with free boundary conditions. We observe that the pair correlations decay exponentially with distance,…
Brochette percolation
Hugo Duminil-Copin, Marcelo R. Hilario, Gady Kozma +1
We study bond percolation on the square lattice with one-dimensional inhomogeneities. Inhomogeneities are introduced in the following way: A vertical column on the square lattice i…
Minimal growth harmonic functions on lamplighter groups
Itai Benjamini, Hugo Duminil-Copin, Gady Kozma +1
We study the minimal possible growth of harmonic functions on lamplighters. We find that has no sublinear harmonic functions, $(\mathbb{Z}/2)\wr \mat…
Groups with minimal harmonic functions as small as you like (With an appendix by Nicolas Matte Bon)
Gideon Amir, Gady Kozma
For any order of growth we construct a finitely-generated group and a set of generators such that the Cayley graph of with respect to supports a ha…
Is a bivariate polynomial with plus minus 1 coefficients irreducible? Very likely!
Lior Bary-Soroker, Gady Kozma
We prove that a random bivariate polynomial with plus minus 1 coefficients is irreducible with high probability.