10 citations · 33 across the 18 of their papers we have counts for
21 papers
On planar Brownian motion singularly tilted through a point potential
Jeremy Clark, Barkat Mian
We discuss a family of time-inhomogeneous two-dimensional diffusions, defined over a finite time interval , having transition density functions that are expressible in terms…
Weak-disorder limit for directed polymers on critical hierarchical graphs with vertex disorder
Jeremy Clark, Casey Lochridge
We study models for a directed polymer in a random environment (DPRE) in which the polymer traverses a hierarchical diamond graph and the random environment is defined through rand…
The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal
Jeremy T. Clark
We discuss a Gaussian multiplicative chaos (GMC) structure underlying a family of random measures , indexed by , on a space of directed pathways c…
Continuum models of directed polymers on disordered diamond fractals in the critical case
Jeremy Clark
We construct and study a family random continuum polymer measures corresponding to limiting partition function laws recently derived in a weak-coupling regime of p…
Weak-disorder limit at criticality for directed polymers on hierarchical graphs
Jeremy Clark
We prove a distributional limit theorem conjectured in [Journal of Statistical Physics 174, No. 6, 1372-1403 (2019)] for partition functions defining models of directed polymers on…
Continuum directed random polymers on disordered hierarchical diamond lattices
Jeremy Clark
I discuss models for a continuum directed random polymer in a disordered environment in which the polymer lives on a fractal called the \textit{diamond hierarchical lattice}, a sel…