Diffusion processes in thin tubes and their limits on graphs
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Publication:690875
DOI10.1214/11-AOP667zbMath1267.60090arXiv1210.3440MaRDI QIDQ690875
Seiichiro Kusuoka, Sergio A. Albeverio
Publication date: 29 November 2012
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.3440
Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes (60J60) Transition functions, generators and resolvents (60J35)
Related Items (5)
Infinite weighted graphs with bounded resistance metric ⋮ Reaction-diffusion on metric graphs: from 3D to 1D ⋮ On the ground state for quantum graphs ⋮ Convergence of Brownian motions on metric measure spaces under Riemannian curvature-dimension conditions ⋮ Unnamed Item
Cites Work
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- Convergence of spectra of graph-like thin manifolds
- Dirichlet forms and symmetric Markov processes.
- Semilinear elliptic equations on thin network-shaped domains with variable thickness
- Small noise asymptotic expansions for stochastic PDE's. I: The case of a dissipative polynomially bounded non linearity
- Wiener process with reflection in non-smooth narrow tubes
- Coupling of multidimensional diffusions by reflection
- Scattering problems on noncompact graphs
- Free quantum motion on a branching graph
- Diffusion processes on graphs and the averaging principle
- The analogue of Bohm-Bell processes on a graph
- Scattering solutions in networks of thin fibers: small diameter asymptotics
- Asymptotics of time harmonic solutions to a thin ferroelectric model
- Schrödinger operators on graphs and geometry I: Essentially bounded potentials
- Gaussian estimates for a heat equation on a network
- Diffusion processes on an open book and the averaging principle
- Variational and semigroup methods for waves and diffusion in networks
- Effective Schrödinger dynamics on ε-thin Dirichlet waveguides via quantum graphs: I. Star-shaped graphs
- Graph-like models for thin waveguides with Robin boundary conditions
- Ergodic Properties of Recurrent Diffusion Processes and Stabilization of the Solution to the Cauchy Problem for Parabolic Equations
- Shorter Notes: Regularity of the Distance Function
- Quantum graphs as holonomic constraints
- Coupling in the singular limit of thin quantum waveguides
- Bound states in curved quantum waveguides
- Thin tubes in mathematical physics, global analysis and spectral geometry
- ANALYSIS OF THE STOCHASTIC FITZHUGH–NAGUMO SYSTEM
- A variational approach to strongly damped wave equations
- Sturm-Liouville eigenvalue problems on networks
- Nontrivial edge coupling from a Dirichlet network squeezing: the case of a bent waveguide
- Well-posedness and symmetries of strongly coupled network equations
- Quantum graphs: I. Some basic structures
- Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
- Branched quantum wave guides with Dirichlet boundary conditions: the decoupling case
- Quantum Graphs and Their Applications
- Reaction Diffusion Equations with Nonlinear Boundary Conditions in Narrow Domains
- Diffusion processes with boundary conditions
- Stability of nonconstant steady states in reaction-diffusion systems on graphs
- Convergence of spectra of mesoscopic systems collapsing onto a graph
- Variational problems on multiply connected thin strips. I: Basic estimates and convergence of the Laplacian spectrum
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