23 citations · 199 across the 44 of their papers we have counts for
5 papers · 1 filter
Exponential decay of loop lengths in the loop model with large
Hugo Duminil-Copin, Ron Peled, Wojciech Samotij +1
The loop model is a model for a random collection of non-intersecting loops on the hexagonal lattice, which is believed to be in the same universality class as the spin $O(n…
Double roots of random Littlewood polynomials
Ron Peled, Arnab Sen, Ofer Zeitouni
We consider random polynomials whose coefficients are independent and uniform on {-1,1}. We prove that the probability that such a polynomial of degree n has a double root is o(n^{…
Bijective combinatorial proof of the commutation of transfer matrices in the dense O(1) loop model
Ron Peled, Dan Romik
The dense O(1) loop model is a statistical physics model with connections to the quantum XXZ spin chain, alternating sign matrices, the six-vertex model and critical bond percolati…
A differential version of the Chebyshev-Markov-Stieltjes inequalities
Shoni Gilboa, Ron Peled
We show that a differential version of the classical Chebyshev-Markov-Stieltjes inequalities holds for a broad family of weight functions. Such a differential version appears to be…
Delocalization of two-dimensional random surfaces with hard-core constraints
Piotr Miłoś, Ron Peled
We study the fluctuations of random surfaces on a two-dimensional discrete torus. The random surfaces we consider are defined via a nearest-neighbor pair potential which we require…