Proves optimal C^{3/2} (smooth data) and C^{1,1} (no sources) boundary Harnack estimates for kinetic Fokker-Planck equations near grazing sets.
The expected number of zeros of continuous stationary Gaussian processes
6 Pith papers cite this work, alongside 207 external citations. Polarity classification is still indexing.
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A model-free diffusion test for discrete time series that uses the scaling of excursion counts with quadratic variation to classify signals as stochastic or deterministic.
CR Paneitz operator on non-embeddable 3D tori has infinitely many negative eigenvalues under mild assumptions.
Surveys Calabi-Yau literature and symmetries, characterizes isometries, introduces volume ratio formula on CICYs, and proposes symmetry-aware GNN model for Ricci-flat metrics.
The Mellin partial wave for four-graviton scattering in supergravity is recast as a rank-two twisted period system of weighted integrals that satisfy first-order differential equations and a recursion with the number of supersymmetries.
The survey describes eigenvalue inequalities, spectral asymptotics, nodal domains, and new phenomena for the Dirichlet-to-Neumann map of the Helmholtz equation that do not appear in the Laplace case.
citing papers explorer
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Boundary Harnack estimates of optimal order for kinetic Fokker-Planck equations
Proves optimal C^{3/2} (smooth data) and C^{1,1} (no sources) boundary Harnack estimates for kinetic Fokker-Planck equations near grazing sets.
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Detecting Stochasticity in Discrete Signals via Nonparametric Excursion Theorem
A model-free diffusion test for discrete time series that uses the scaling of excursion counts with quadratic variation to classify signals as stochastic or deterministic.
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Non-embeddable torus and CR Paneitz operator
CR Paneitz operator on non-embeddable 3D tori has infinitely many negative eigenvalues under mild assumptions.
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The Sharp Edges of Calabi-Yau Manifolds: Designing Symmetric Models for Ricci-flat Metrics
Surveys Calabi-Yau literature and symmetries, characterizes isometries, introduces volume ratio formula on CICYs, and proposes symmetry-aware GNN model for Ricci-flat metrics.
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The double-logarithmic four-graviton Regge sector as a rank-two twisted period system
The Mellin partial wave for four-graviton scattering in supergravity is recast as a rank-two twisted period system of weighted integrals that satisfy first-order differential equations and a recursion with the number of supersymmetries.
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Spectral properties of the Dirichlet-to-Neumann map for the Helmholtz equation
The survey describes eigenvalue inequalities, spectral asymptotics, nodal domains, and new phenomena for the Dirichlet-to-Neumann map of the Helmholtz equation that do not appear in the Laplace case.