Bessel SPDEs and renormalised local times

DOI10.1007/s00440-019-00926-0zbMath1434.60154arXiv1811.00518OpenAlexW2963777344MaRDI QIDQ2174661

Lorenzo Zambotti, Henri Elad Altman

Publication date: 21 April 2020

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.00518

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Local time and additive functionals (60J55)

Related Items (3)

Bessel SPDEs with general Dirichlet boundary conditions ⋮ Scaling limit of wetting models in \(1+1\) dimensions pinned to a shrinking strip ⋮ Integration by parts formulae for the laws of Bessel bridges via hypergeometric functions

Cites Work

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• Construction and analysis of a sticky reflected distorted Brownian motion
• Nonuniqueness for a parabolic SPDE with \(\frac{3}{4}-\varepsilon \)-Hölder diffusion coefficients
• A theory of regularity structures
• Integration by parts on the law of the reflecting Brownian motion
• Pathwise uniqueness for stochastic heat equations with Hölder continuous coefficients: The white noise case
• Lectures on probability theory and statistics. Ecole d'Eté de Probabilités de Saint-Flour XXXIII -- 2003. Lectures given at the 33rd probability summer school, Saint-Flour, France, July 6--23, 2003.
• Existence and stability for Fokker-Planck equations with log-concave reference measure
• Hitting properties of parabolic s.p.d.e.'s with reflection.
• Integration by parts formulae for Wiener measures on a path space between two curves
• On the approach to equilibrium for a polymer with adsorption and repulsion
• Introduction to the theory of (non-symmetric) Dirichlet forms
• White noise driven quasilinear SPDEs with reflection
• Spectral gap for the stochastic quantization equation on the 2-dimensional torus
• The strong Feller property for singular stochastic PDEs
• Strong Feller property of sticky reflected distorted Brownian motion
• Algebraic renormalisation of regularity structures
• Integration by parts formulae on convex sets of paths and applications to SPDEs with reflection
• Integration by parts on \(\delta\)-Bessel bridges, \(\delta>3\), and related SPDEs
• Occupation densities for SPDEs with reflection.
• Fluctuations for \(\nabla \varphi \) interface model on a wall.
• Ramanujan's master theorem
• Scaling limits of weakly asymmetric interfaces
• Bessel SPDEs with general Dirichlet boundary conditions
• An Itô type formula for the additive stochastic heat equation
• Scaling limit of wetting models in \(1+1\) dimensions pinned to a shrinking strip
• Integration by parts on the law of the modulus of the Brownian bridge
• Scaling limits of equilibrium wetting models in \((1+1)\)-dimension
• PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
• Bessel diffusions as a one-parameter family of diffusion processes
• Bismut-Elworthy-Li Formulae for Bessel Processes
• A reflected stochastic heat equation as symmetric dynamics with respect to the 3-d Bessel bridge

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