59 citations · 66 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
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…