83 citations · 418 across the 31 of their papers we have counts for
4 papers · 1 filter
Anomalous 1D fluctuations of a simple 2D random walk in a large deviation regime
Sergei Nechaev, Kirill Polovnikov, Senya Shlosman +2
The following question is the subject of our work: could a two-dimensional random path pushed by some constraints to an improbable "large deviation regime", possess extreme statist…
Glassy states: the free Ising model on a tree
Daniel Gandolfo, Christian Maes, Jean Ruiz +1
We consider the ferromagnetic Ising model on the Cayley tree and we investigate the decomposition of the free state into extremal states below the spin glass temperature. We show t…
Provable first-order transitions for liquid crystal and lattice gauge models with continuous symmetries
A. C. D. van Enter, S. B. Shlosman
We consider various sufficiently nonlinear sigma models for nematic liquid crystal ordering of RP^{N-1} type and of lattice gauge type with continous symmetries. We rigorously show…
First-order transitions for n-vector models in two and more dimensions; rigorous proof
A. C. D. van Enter, S. B. Shlosman
We prove that various SO(n)-invariant n-vector models with interactions which have a deep and narrow enough minimum have a first-order transition in the temperature. The result hol…