17 citations · 64 across the 27 of their papers we have counts for
4 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…
Lectures on the Spin and Loop Models
Ron Peled, Yinon Spinka
The classical spin model is a model on a -dimensional lattice in which a vector on the -dimensional sphere is assigned to every lattice site and the vectors at adj…
Long-range order in the 3-state antiferromagnetic Potts model in high dimensions
Ohad Feldheim, Yinon Spinka
We prove the existence of long-range order for the 3-state Potts antiferromagnet at low temperature on for sufficiently large . In particular, we show the existen…
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…