A. Glazman

activity

20132023

most citedOn the transition between the disordered and antiferroelectric phases of the 6-vertex model

21 citations · 55 across the 10 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.PR2018

Exponential decay in the loop $O (n)$ model: $n > 1$ , $x < \frac{1}{3} + ε (n)$

Alexander Glazman, Ioan Manolescu

We show that the loop $O (n)$ model on the hexagonal lattice exhibits exponential decay of loop sizes whenever $n > 1$ and $x < \frac{1}{3} + ε (n)$ , for some suitable c…

math.PR2018

Uniform Lipschitz functions on the triangular lattice have logarithmic variations

Alexander Glazman, Ioan Manolescu

Uniform integer-valued Lipschitz functions on a domain of size $N$ of the triangular lattice are shown to have variations of order $lo g N$ . The level lines of such function…

Exponential decay in the loop O(n) model: n>1, x<3​1​+ε(n)

Uniform Lipschitz functions on the triangular lattice have logarithmic variations

Exponential decay in the loop $O (n)$ model: $n > 1$ , $x < \frac{1}{3} + ε (n)$