59 citations · 66 across the 4 of their papers we have counts for
6 papers
Pinning of polymers and interfaces by random potentials
Kenneth S. Alexander, Vladas Sidoravicius
We consider a polymer, with monomer locations modeled by the trajectory of a Markov chain, in the presence of a potential that interacts with the polymer when it visits a particula…
Colligative properties of solutions: I. Fixed concentrations
Kenneth Alexander, Marek Biskup, Lincoln Chayes
Using the formalism of rigorous statistical mechanics, we study the phenomena of phase separation and freezing-point depression upon freezing of solutions. Specifically, we devise…
Lower bounds for boundary roughness for droplets in Bernoulli percolation
Hasan B. Uzun, Kenneth S. Alexander
We consider boundary roughness for the ``droplet'' created when supercritical two-dimensional Bernoulli percolation is conditioned to have an open dual circuit surrounding the orig…
Separated-occurrence inequalities for dependent percolation and Ising models
Kenneth S. Alexander
Separated-occurrence inequalities are variants for dependent lattice models of the van den Berg-Kesten inequality for independent models. They take the form $P(A \circ_r B) \leq (1…
The spectral gap of the 2-D stochastic Ising model with nearly single-spin boundary conditions
Kenneth S. Alexander
We establish upper bounds for the spectral gap of the stochastic Ising model at low temperature in an N-by-N box, with boundary conditions which are ``plus'' except for small regio…
The spectral gap of the 2-D stochastic Ising model with mixed boundary conditions
Kenneth S. Alexander, Nobuo Yoshida
We establish upper bounds for the spectral gap of the stochastic Ising model at low temperatures in an n-by-n box with boundary conditions which are not purely plus or minus; speci…