Long Time Asymptotics of Heat Kernels and Brownian Winding Numbers on Manifolds with Boundary

zbMath1470.35169arXiv1804.00368MaRDI QIDQ5009803

Gautam Iyer, X. Geng

Publication date: 6 August 2021

Full work available at URL: https://arxiv.org/abs/1804.00368

zbMATH Keywords

reflected Brownian motionmixed Dirichlet and Neumann boundary conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Brownian motion (60J65) Heat kernel (35K08)

Related Items

Winding of a Brownian particle around a point vortex

Cites Work

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• Winding of the plane Brownian motion
• Laplace approximation for stochastic line integrals
• The stationary distribution of reflected Brownian motion in a planar region
• Asymptotic laws of planar Brownian motion
• On the parabolic kernel of the Schrödinger operator
• Heat kernels on covering spaces and topological invariants
• Further asymptotic laws of planar Brownian motion
• Winding numbers for 2-dimensional, positive recurrent diffusions
• Large time behavior of the heat equation on complete manifolds with non- negative Ricci curvature
• Unitary representations of fundamental groups and the spectrum of twisted Laplacians
• Albanese maps and off diagonal long time asymptotics for the heat kernel
• Local limit theorem in negative curvature
• Some Theorems Concerning 2-Dimensional Brownian Motion
• Théorème central limite local sur certains groupes de Lie
• On windings of multidimensional reflected brownian motion
• Multiscale Methods
• Diffusion processes with boundary conditions
• Asymptotic windings of Brownian motion paths on Riemann surfaces