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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Brownian occupation measures conditioned on large self- or mutual-intersections converge weakly to the square of a Gagliardo-Nirenberg optimizer via new large deviation principles.
Introduces rgs and irgs for Keisler measures with equivalences to generic stability of random types and proves irgs implies dependence.
Anisotropic SPDEs preserve geometric data structure over longer timescales in score-based generative modeling, yielding better image quality than standard SDE baselines and flow matching in unconditional and conditional tasks.
M-CaStLe generalizes local stencil-based causal discovery to the multivariate case and decomposes resulting graphs into reaction and spatial components for interpretation in space-time gridded data.
Double-scaled fermionic and bosonic embedded ensembles are equivalent to double-scaled complex SYK and solvable via the Wick product of non-commuting Gaussian random variables, yielding a duality to the chord Hilbert space.
Proposes edge-preserving diffusion via hybrid noise with edge-aware scheduler to enhance structural fidelity in diffusion and flow-matching models.
citing papers explorer
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Hydrodynamic limits for TASEP with space-time discontinuities
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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Asymptotics of Brownian occupation measures with unusually large intersections
Brownian occupation measures conditioned on large self- or mutual-intersections converge weakly to the square of a Gagliardo-Nirenberg optimizer via new large deviation principles.
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Remarks on generic stability and random types
Introduces rgs and irgs for Keisler measures with equivalences to generic stability of random types and proves irgs implies dependence.
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Score-Based Generative Modeling through Anisotropic Stochastic Partial Differential Equations
Anisotropic SPDEs preserve geometric data structure over longer timescales in score-based generative modeling, yielding better image quality than standard SDE baselines and flow matching in unconditional and conditional tasks.
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M-CaStLe: Uncovering Local Causal Structures in Multivariate Space-Time Gridded Data
M-CaStLe generalizes local stencil-based causal discovery to the multivariate case and decomposes resulting graphs into reaction and spatial components for interpretation in space-time gridded data.
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Double-scaled bosonic and fermionic embedded ensembles, complex SYK, and the dual Hilbert space
Double-scaled fermionic and bosonic embedded ensembles are equivalent to double-scaled complex SYK and solvable via the Wick product of non-commuting Gaussian random variables, yielding a duality to the chord Hilbert space.
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Edge-preserving noise for diffusion models
Proposes edge-preserving diffusion via hybrid noise with edge-aware scheduler to enhance structural fidelity in diffusion and flow-matching models.