Non-stationary KPZ equation from ASEP with slow bonds

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Singular stochastic partial differential equations (60H17)

Cites Work

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Crossover to the stochastic Burgers equation for the WASEP with a slow bond
Solving the KPZ equation
A theory of regularity structures
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Stochastic Burgers and KPZ equations from particle systems
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\(\operatorname{ASEP}(q,j)\) converges to the KPZ equation
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THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
Hydrodynamic Limit for a Type of Exclusion Process with Slow Bonds in Dimension d ≥ 2
Energy solutions of KPZ are unique
Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
Dynamic Scaling of Growing Interfaces
On the support of solutions to the heat equation with noise
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Phase transition of a heat equation with Robin’s boundary conditions and exclusion process

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