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Creators/Authors contains: "Dunlap, Alexander"

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  1. ; (, Journal of Machine Learning Research)
    Accepted Manuscript Full Text Available
  2. ; ; ; ; (, Nonlinearity)
    Abstract We consider a stochastic conservation law on the line with solution-dependent diffusivity, a super-linear, sub-quadratic Hamiltonian, and smooth, spatially-homogeneous kick-type random forcing. We show that this Markov process admits a unique ergodic spatially-homogeneous invariant measure for each mean in a non-explicit unbounded set. This generalises previous work on the stochastic Burgers equation. 
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  3. ; (, SIAM Journal on Mathematics of Data Science)
    Full Text Available 
  4. ; ; (, Annales Henri Poincaré)
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  5. ; ; (, Communications on Pure and Applied Mathematics)
    Abstract We study the one‐dimensional KPZ equation on a large torus, started at equilibrium. The main results are optimal variance bounds in the super‐relaxation regime and part of the relaxation regime. 
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  6. ; (, Journal of functional analysis)
    Full Text Available 
  7. ; (, The Annals of probability)
    Full Text Available 
  8. ; (, Archive for Rational Mechanics and Analysis)
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  9. ; ; ; (, Archive for Rational Mechanics and Analysis)
    Full Text Available 
  10. ; (, Annals of Probability)
    Full Text Available