directed polymers

The Fundamental Solution for the 1+1-dimensional Stochastic Heat Equation

Explain the recent work on multiple SLE(0) with Byun, Kang and Makarov.

Jun 22, 2023 11:00 +0900 — 12:00 +0900 Paradise Hotel

Tom Alberts, Chris Janjigian, Firas Rassoul-Agha, Timo Seppalainen

The Green's function of the parabolic Anderson model and the continuum directed polymer

We build a regular version of a five parameter field which describes the Green’s function, or fundamental solution, of the …

Tom Alberts, Chris Janjigian, Firas Rassoul-Agha, Timo Seppalainen

Busemann functions and semi-infinite O'Connell-Yor polymers

We prove that given any fixed asymptotic velocity, the finite length O’Connell-Yor polymer has an infinite length limit …

Tom Alberts, Firas Rassoul-Agha, Mackenzie Simper

Macro and Microscopic Limits of Directed Polymer Models

Busemann functions for the O’Connell-Yor polymer

Jun 4, 2019 16:30 +0800 — 17:30 +0800 KAIST

Tom Alberts, Firas Rassoul-Agha, Mackenzie Simper

Macro and Microscopic Limits of Directed Polymer Models

Busemann functions for the O’Connell-Yor polymer

May 31, 2019 16:00 +0800 — 17:30 +0800 Korean Institute of Advanced Study

Tom Alberts, Firas Rassoul-Agha, Mackenzie Simper

Nested critical points for a directed polymer on a disordered diamond lattice

We consider a model for a directed polymer in a random environment defined on a hierarchical diamond lattice in which i.i.d. random …

Tom Alberts, Jeremy Clark

The intermediate disorder regime for a directed polymer model on a hierarchical lattice

We study a directed polymer model defined on a hierarchical diamond lattice, where the lattice is constructed recursively through a …

Tom Alberts, Jeremy Clark, Saša Kocić

Airy Processes and Variational Formulas, Part II

Review of the Quastel-Remenik work on Airy processes and variational formulas

Sep 16, 2016 15:00 -0700 — 16:00 -0700 University of Utah

Tom Alberts

Airy Processes and Variational Formulas, Part I

Review of the Quastel-Remenik work on Airy processes and variational formulas

Sep 9, 2016 15:00 -0700 — 16:00 -0700 University of Utah

Tom Alberts

Ideas from KPZ in Directed Polymer Models

KPZ scalings in directed polymer models

Apr 17, 2016 09:00 MDT — 09:30 MDT North Dakota State University

Tom Alberts