17 citations · 35 across the 16 of their papers we have counts for
16 papers
Symmetric Cooperative Motion in Higher Dimensions
Louigi Addario-Berry, Gavin Barill, Hannah Cairns +1
We prove a distributional convergence result for a multidimensional version of symmetric cooperative motion which was introduced and studied in one dimension in \cite{HRW, SCM1}. O…
A shape theorem for BBM in a periodic environment
Louigi Addario-Berry, Arturo Arellano Arias, Jessica Lin
We consider the long-time behaviour of binary branching Brownian motion (BBM) where the branching rate depends on a periodic spatial heterogeneity. We prove that almost surely as $…
Generalized front propagation for spatial stochastic population models
Thomas Hughes, Jessica Lin
We present a general framework which can be used to prove that, in an annealed sense, rescaled spatial stochastic population models converge to generalized propagating fronts. Our…
The central limit theorem via doubling of variables
Louigi Addario-Berry, Gavin Barill, Erin Beckman +1
We give a new, self-contained proof of the multidimensional central limit theorem using the technique of ``doubling variables," which is traditionally used to prove uniqueness of s…
Green function and invariant measure estimates for nondivergence form elliptic homogenization
Scott Armstrong, Benjamin Fehrman, Jessica Lin
We prove quantitative estimates on the the parabolic Green function and the stationary invariant measure in the context of stochasic homogenization of elliptic equations in nondive…
Symmetric cooperative motion in one dimension
Louigi Addario-Berry, Erin Beckman, Jessica Lin
We explore the relationship between recursive distributional equations and convergence results for finite difference schemes of parabolic partial differential equations (PDEs). We…
Asymmetric cooperative motion in one dimension
Louigi Addario-Berry, Erin Beckman, Jessica Lin
We prove distributional convergence for a family of random processes on , which we call asymmetric cooperative motions. The model generalizes the "totally asymmetric hi…
Anisotropic Surface Tensions for Phase Transitions in Periodic Media
Rustum Choksi, Irene Fonseca, Jessica Lin +1
This paper establishes bounds on the homogenized surface tension for a heterogeneous Allen-Cahn energy functional in a periodic medium. The approach is based on relating the homoge…
Barycentric Brownian Bees
Louigi Addario-Berry, Jessica Lin, Thomas Tendron
We establish an invariance principle for the barycenter of a Brunet-Derrida particle system in dimensions. The model consists of particles undergoing dyadic branching Brown…
Stochastic Homogenization for Reaction-Diffusion Equations
Jessica Lin, Andrej Zlatoš
In the present paper we study stochastic homogenization for reaction-diffusion equations with stationary ergodic reactions. We first show that under suitable hypotheses, initially…
Multidimensional transition fronts for Fisher-KPP reactions
Amir Alwan, Zonglin Han, Jessica Lin +2
We study entire solutions to homogeneous reaction-diffusion equations in several dimensions with Fisher-KPP reactions. Any entire solution is known to satisfy \[ \lim_{t\to…
Optimal quantitative estimates in stochastic homogenization for elliptic equations in nondivergence form
Scott Armstrong, Jessica Lin
We prove quantitative estimates for the stochastic homogenization of linear uniformly elliptic equations in nondivergence form. Under strong independence assumptions on the coeffic…
Algebraic Error Estimates for the Stochastic Homogenization of Uniformly Parabolic Equations
Jessica Lin, Charles K. Smart
This article establishes an algebraic error estimate for the stochastic homogenization of fully nonlinear uniformly parabolic equations in stationary ergodic spatio-temporal media.…
On the Stochastic Homogenization of Fully Nonlinear Uniformly Parabolic Equations in Stationary Ergodic Spatio-Temporal Media
Jessica Lin
We study homogenization for fully nonlinear uniformly parabolic equations in stationary ergodic spatio-temporal media from the qualitative and quantitative perspective. We show tha…
A Quantitative Regularity Estimate for Nonnegative Supersolutions of Fully Nonlinear Uniformly Parabolic Equations
Jessica Lin
This note establishes an interior quantitative lower bound for nonnegative supersolutions of fully nonlinear uniformly parabolic equations. The result may be interpreted as a nonli…
Measurable Time-Restricted Sensitivity
Domenico Aiello, Hansheng Diao, Zhou Fan +3
We develop two notions of time-restricted sensitivity to initial conditions for measurable dynamical systems, where the time before divergence of a pair of paths is at most an asym…