Geodesic random walks, diffusion processes and Brownian motion on Finsler manifolds
DOI10.1007/s12220-021-00723-zzbMath1482.82030arXiv2102.08296OpenAlexW3177313912WikidataQ126183609 ScholiaQ126183609MaRDI QIDQ2665610
Ilya Pavlyukevitch, Tianyu Ma, Vladimir S. Matveev
Publication date: 19 November 2021
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.08296
weak convergencediffusion processRiemannian Brownian motionFinsler manifoldbounded geometrygeodesic random walksaveraged metric
Brownian motion (60J65) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)
Cites Work
- A natural Finsler-Laplace operator
- The Binet-Legendre metric in Finsler geometry
- Graphene and the Zermelo optical metric of the BTZ black hole
- A Finsler geodesic spray paradigm for wildfire spread modelling
- On the heat kernel of a complete Riemannian manifold
- Diffusion processes and heat kernels on metric spaces
- The theory of sprays and Finsler spaces with applications in physics and biology
- Seismic rays as Finsler geodesics.
- Elements of stochastic calculus and analysis
- Zermelo navigation on Riemannian manifolds
- Two-dimensional Finsler metrics with constant flag curvature
- Fundamentals of Finslerian diffusion with applications
- Zermelo deformation of Finsler metrics by Killing vector fields
- Geodesic behavior for Finsler metrics of constant positive flag curvature on \(S^2\)
- Finsler conformal Lichnerowicz-Obata conjecture
- Markov processes, semigroups and generators.
- Riemann-Finsler geometry with applications to information geometry
- On the curvature and heat flow on Hamiltonian systems
- Non-metric fluid dynamics and cosmology on Finsler spacetimes
- On Finsler spacetimes with a timelike Killing vector field
- Finsler geometry of seismic ray path in anisotropic media
- Riemannian metrics having common geodesics with Berwald metrics
- The central limit problem for geodesic random walks
- ERGODIC PERTURBATIONS OF DEGENERATE INTEGRABLE HAMILTONIAN SYSTEMS
- Heat Flow on Alexandrov Spaces
- Sobolev spaces, Laplacian, and heat kernel on Alexandrov spaces
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