23 citations · 199 across the 44 of their papers we have counts for
5 papers · 1 filter
Long-range order in discrete spin systems
Ron Peled, Yinon Spinka
We establish long-range order for discrete nearest-neighbor spin systems on satisfying a certain symmetry assumption, when the dimension is higher than an explic…
Concentration inequalities for log-concave distributions with applications to random surface fluctuations
Alexander Magazinov, Ron Peled
We derive two concentration inequalities for linear functions of log-concave distributions: an enhanced version of the classical Brascamp--Lieb concentration inequality, and an ine…
On the site percolation threshold of circle packings and planar graphs
Ron Peled
A circle packing is a collection of disks with disjoint interiors in the plane. It naturally defines a graph by tangency. It is shown that there exists such that the followin…
Macroscopic loops in the loop O(n) model via the XOR trick
Nicholas Crawford, Alexander Glazman, Matan Harel +1
The loop model is a family of probability measures on collections of non-intersecting loops on the hexagonal lattice, parameterized by a loop-weight and an edge-weight $…
Three lectures on random proper colorings of
Ron Peled, Yinon Spinka
A proper -coloring of a graph is an assignment of one of colors to each vertex of the graph so that adjacent vertices are colored differently. Sample uniformly among all pro…