Add to ORKGWe present a simple criterion, only based on second moment assumptions, for the convergence of polynomial or Wiener chaos to a Gaussian limit. We exploit this criterion to obtain new Gaussian asymptotics for the partition functions of two-dimensional directed polymers in the sub-critical regime, including a singular product between the partition function and the disorder. These results can also be applied to the KPZ and Stochastic Heat Equation. As a tool of independent interest, we derive an explicit chaos expansion which sharply approximates the logarithm of the partition function.Comment: 35 pages, 1 figure. Comments are welcom
The directed polymer model at intermediate disorder regime was introduced by Alberts–Khanin–Quastel ...
We consider the point-to-point continuum directed random polymer ($\mathsf{CDRP}$) model that arises...
This dissertation provides a detailed analysis of the behavior of suprema and moduli of continuity f...
peer reviewedWe present a simple criterion, only based on second moment assumptions, for the converg...
The partition function of the directed polymer model on Z^{2+ 1} undergoes a phase transition in a s...
We consider directed polymers in random environment on the lattice Z d at small inverse temperature ...
We show that under a certain moderate deviation scaling, the multiplicative-noise stochastic heat eq...
We study the characteristic polynomials of both the Gaussian Orthogonal and Symplectic Ensembles. We...
We consider systems of $N$ diffusions in equilibrium interacting through a potential $V$. We study a...
We consider disordered systems of directed polymer type, for which disorder is so-called marginally ...
We consider the motion of a particle under a continuum random environment whose distribution is give...
This thesis studies global solutions to the semidiscrete stochastic heat equation and the associated...
Abstract A completely elementary and self-contained proof of convergence of Gaussian multiplicative ...
In this article, we present an invariance principle for the paths of the directed random polymer in ...
For a centered d-dimensional Gaussian random vector xi = (xi(1),..., xi (d) ) and a homogeneous func...
The directed polymer model at intermediate disorder regime was introduced by Alberts–Khanin–Quastel ...
We consider the point-to-point continuum directed random polymer ($\mathsf{CDRP}$) model that arises...
This dissertation provides a detailed analysis of the behavior of suprema and moduli of continuity f...
peer reviewedWe present a simple criterion, only based on second moment assumptions, for the converg...
The partition function of the directed polymer model on Z^{2+ 1} undergoes a phase transition in a s...
We consider directed polymers in random environment on the lattice Z d at small inverse temperature ...
We show that under a certain moderate deviation scaling, the multiplicative-noise stochastic heat eq...
We study the characteristic polynomials of both the Gaussian Orthogonal and Symplectic Ensembles. We...
We consider systems of $N$ diffusions in equilibrium interacting through a potential $V$. We study a...
We consider disordered systems of directed polymer type, for which disorder is so-called marginally ...
We consider the motion of a particle under a continuum random environment whose distribution is give...
This thesis studies global solutions to the semidiscrete stochastic heat equation and the associated...
Abstract A completely elementary and self-contained proof of convergence of Gaussian multiplicative ...
In this article, we present an invariance principle for the paths of the directed random polymer in ...
For a centered d-dimensional Gaussian random vector xi = (xi(1),..., xi (d) ) and a homogeneous func...
The directed polymer model at intermediate disorder regime was introduced by Alberts–Khanin–Quastel ...
We consider the point-to-point continuum directed random polymer ($\mathsf{CDRP}$) model that arises...
This dissertation provides a detailed analysis of the behavior of suprema and moduli of continuity f...