207 citations · 2.4k across the 59 of their papers we have counts for
7 papers · 1 filter
Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models
Michael Aizenman, Matan Harel, Ron Peled +1
For a family of integer-valued height functions defined over the faces of planar graphs, we establish a relation between the probability of connection by level sets and the spin-sp…
Matrix regularizing effects of Gaussian perturbations
Michael Aizenman, Ron Peled, Jeffrey Schenker +2
The addition of noise has a regularizing effect on Hermitian matrices. This effect is studied here for , where is the base matrix and is sampled from the GOE or the…
On the structure of quasi-stationary competing particle systems
Louis-Pierre Arguin, Michael Aizenman
We study point processes on the real line whose configurations are locally finite, have a maximum and evolve through increments which are functions of correlated Gaussian varia…
On Bernoulli Decompositions for Random Variables, Concentration Bounds, and Spectral Localization
Michael Aizenman, Francois Germinet, Abel Klein +1
As was noted already by A. N. Kolmogorov, any random variable has a Bernoulli component. This observation provides a tool for the extension of results which are known for Bernoulli…
On the Critical Behavior at the Lower Phase Transition of the Contact Process
Michael Aizenman, Paul Jung
We present general results for the contact process by a method which applies to all transitive graphs of bounded degree, including graphs of exponential growth. The model's infecti…
Characterization of invariant measures at the leading edge for competing particle systems
Anastasia Ruzmaikina, Michael Aizenman
We study systems of particles on a line which have a maximum, are locally finite and evolve with independent increments. ``Quasi-stationary states'' are defined as probability meas…