Introduces a novel exclusion process with mass and energy conservation and proves convergence of fluctuation fields to uncoupled stochastic Burgers equations for suitable parameters.
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Proves quantitative Einstein relation with explicit quenched algebraic rate for reversible diffusions in random environments.
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Stationary fluctuations for an exclusion process with mass and energy conservation
Introduces a novel exclusion process with mass and energy conservation and proves convergence of fluctuation fields to uncoupled stochastic Burgers equations for suitable parameters.
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Quantitative Einstein relation for reversible diffusions in a random environment
Proves quantitative Einstein relation with explicit quenched algebraic rate for reversible diffusions in random environments.