K. S. Alexander

activity

20002023

most citedPinning of polymers and interfaces by random potentials

59 citations · 231 across the 23 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.PR2016

Pinning of a renewal on a quenched renewal

Kenneth S. Alexander, Quentin Berger

We introduce the pinning model on a quenched renewal, which is an instance of a (strongly correlated) disordered pinning model. The potential takes value 1 at the renewal times of…

math.PR2016

Local asymptotics for the first intersection of two independent renewals

Kenneth S. Alexander, Quentin Berger

We study the intersection of two independent renewal processes, $ρ = τ \cap σ$ . Assuming that $P (τ_{1} = n) = φ (n) n^{- (1 + α)}$ and $\mathbf{P}(σ_1 = n ) = \tildeφ(n)\, n^{-(1…

math.PR2016

Local limit theorems and renewal theory with no moments

Kenneth S. Alexander, Quentin Berger

We study i.i.d. sums $τ_{k}$ of nonnegative variables with index $0$ : this means $P (τ_{1} = n) = φ (n) n^{- 1}$ , with $φ (\cdot)$ slowly varying, so that $\mathbf{E}(τ_1^\varepsilo…