The Continuum Directed Random Polymer

Pinning and roughening of domain walls in ising systems due to random impurities

David A. Huse and Christopher L. Henley · 1985

Earlier work this paper cites.

Dynamic scaling of growing interfaces

Mehran Kardar, Giorgio Parisi, and Yi-Cheng Zhang · 1986

Earlier work this paper cites.

An introduction to stochastic partial differential equations

John B. Walsh · 1986

Earlier work this paper cites.

Diffusion of directed polymers in a random environment

J. Z. Imbrie and T. Spencer · 1988

Earlier work this paper cites.

A note on the diffusion of directed polymers in a random environment

Erwin Bolthausen · 1989

Earlier work this paper cites.

On the support of solutions to the heat equation with noise

Carl Mueller · 1991

Earlier work this paper cites.

The stochastic heat equation: Feynman-Kac formula and intermittence

Lorenzo Bertini and Nicoletta Cancrini · 1995

Earlier work this paper cites.

A Brownian motion version of the directed polymer problem

Joseph G. Conlon and Peder A. Olsen · 1996

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Stochastic Burgers and KPZ equations from particle systems

Lorenzo Bertini and Giambattista Giacomin · 1997

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Gaussian Hilbert spaces

Svante Janson · 1997

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The Burgers equation with a random force and a general model for directed polymers in random environments

Yuri Kifer · 1997

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Probabilistic analysis of directed polymers in a random environment: a review

Francis Comets, Tokuzo Shiga, and Nobuo Yoshida · 2004

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Directed polymers in random environment are diffusive at weak disorder

Francis Comets and Nobuo Yoshida · 2006

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Stochastic processes

S. R. S. Varadhan · 2007

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Superdiffusivity for a Brownian polymer in a continuous Gaussian environment

Sérgio Bezerra, Samy Tindel, and Frederi Viens · 2008

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Probability distribution of the free energy of the continuum directed random polymer in 1+1 dimensions

Gideon Amir, Ivan Corwin, and Jeremy Quastel · 2010

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Intermediate disorder regime for directed polymers in dimension 1 + 1 1+1

Tom Alberts, Kostya Khanin, and Jeremy Quastel · 2010

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Probability: theory and examples

Rick Durrett · 2010

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The intermediate disorder regime for directed polymers in dimension 1+1

Tom Alberts, Kostya Khanin, and Jeremy Quastel · 2012

Closest in time.