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From directed polymers in spatial-correlated environment to stochastic heat equations driven by fractional noise in 1+1 dimensions
Affiliation:Department of Physics, Colorado State University, Fort Collins, CO 80523, USA;School of Computer Science and Applied Mathematics, DST-NRF Centre of Excellence in Mathematical and Statistical Sciences, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa;Faculty of Applied Mathematics, AGH University of Science and Technology, Al. Mickiewicza 30, Cracow 30-059, Poland
Abstract:
Keywords:Stochastic heat equation  Random walk  Partition function  Fractional noise  Stationary fields  Multiple Itô integral
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