arXiv subjects

Hans Chaumont

Publications and source records attributed to Hans Chaumont.

2 recordsLinked to original sources

arXiv2017

Fluctuation exponents for stationary exactly solvable lattice polymer models via a Mellin transform framework

We develop a Mellin transform framework which allows us to simultaneously analyze the four known exactly solvable 1+1 dimensional lattice polymer models: the log-gamma, strict-weak, beta, and inverse-beta models. Using this framework we prove the conjectured fluctuation exponents of the free energy and the polymer path for the stationary point-to-point versions of these four models. The fluctuation exponent for the polymer path was previously unproved for the strict-weak, beta, and inverse-beta models.

math.PR↗

arXiv2017

Characterizing stationary 1+1 dimensional lattice polymer models

Motivated by the study of directed polymer models with random weights on the square integer lattice, we define an integrability property shared by the log-gamma, strict-weak, beta, and inverse-beta models. This integrability property encapsulates a preservation in distribution of ratios of partition functions which in turn implies the so called Burke property. We show that under some regularity assumptions, up to trivial modifications, there exist no other models possessing this property.

math.PR↗