The height function of TASEP with space-time discontinuous speed function converges to a deterministic limit given by a Lax-Oleinik variational formula that satisfies a discontinuous Hamilton-Jacobi equation.
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5 Pith papers cite this work. Polarity classification is still indexing.
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A large deviations principle is established for rogue waves in the cubic nonlinear Schrödinger equation with randomized quasi-periodic initial data in dimensions d>1, holding for times O(ε^{-1-η}) under polynomial Fourier decay.
Develops an arborification map on decorated trees to compute cancellations in random-data dispersive PDEs, enabling results on wave turbulence and 3D cubic wave equation Gibbs measure invariance.
Constructs uniform estimates and explicit counterterm for the renormalized stochastic thin-film equation in the full subcritical regime across dimensions d ≥ 1.
Proves Skorokhod decompositions and represents Hida distributions via bounded-variation vector measures for gradient Dirichlet forms on ρ^a μ^β and ρ μ^β, where μ^β is Brownian bridge law.
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Cancellations for dispersive PDEs with random initial data
Develops an arborification map on decorated trees to compute cancellations in random-data dispersive PDEs, enabling results on wave turbulence and 3D cubic wave equation Gibbs measure invariance.