From diffusions on graphs to Markov chains via asymptotic state lumping
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Publication:451766
DOI10.1007/s00023-012-0158-zzbMath1278.60110OpenAlexW1995007998WikidataQ59341346 ScholiaQ59341346MaRDI QIDQ451766
Publication date: 24 September 2012
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00023-012-0158-z
Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)
Related Items (21)
Explicit formulae for limit periodic flows on networks ⋮ The snapping out Brownian motion ⋮ Hemivariational inequalities on graphs ⋮ On Hille-type approximation of degenerate semigroups of operators ⋮ Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness ⋮ Generalized network transport and Euler-Hille formula ⋮ Dynamical systems associated with adjacency matrices ⋮ An averaging principle for fast diffusions in domains separated by semi-permeable membranes ⋮ Concatenation of Nonhonest Feller Processes, Exit Laws, and Limit Theorems on Graphs ⋮ Cosine families and semigroups really differ ⋮ Asymptotic behaviour of fast diffusions on graphs ⋮ Irregular convergence of mild solutions of semilinear equations ⋮ Modeling Diffusion in Thin 2D Layers Separated by a Semipermeable Membrane ⋮ Semigroup approach to diffusion and transport problems on networks ⋮ Exponential number of stationary solutions for Nagumo equations on graphs ⋮ Semigroup-theoretic approach to diffusion in thin layers separated by semi-permeable membranes ⋮ Transport on Networks—A Playground of Continuous and Discrete Mathematics in Population Dynamics ⋮ Robin-type boundary conditions in transition from reaction-diffusion equations in 3D domains to equations in 2D domains ⋮ Hidden symmetries in non-self-adjoint graphs ⋮ Singular perturbations involving fast diffusion ⋮ Some transport and diffusion processes on networks and their graph realizability
Cites Work
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- Interplay between degenerate convergence of semigroups and asymptotic analysis: a study of a singularly perturbed abstract telegraph system
- Aggregation in age and space structured population models: an asymptotic analysis approach
- From a PDE model to an ODE model of dynamics of synaptic depression
- Approximation of the semigroup generated by the Robin Laplacian in terms of the Gaussian semigroup
- Degenerate convergence of semigroups related to a model of stochastic gene expression
- Diffusion processes on graphs and the averaging principle
- Degenerate convergence of semigroups
- Regulation of kinase activity by diffusion and feedback
- Diffusion processes on graphs: Stochastic differential equations, large deviation principle
- On limitations and insufficiency of the Trotter--Kato theorem
- Gaussian estimates for a heat equation on a network
- A short course on operator semigroups
- Variational and semigroup methods for waves and diffusion in networks
- Two singular diffusion problems
- The parabolic differential equations and the associated semigroups of transformation
- Semigroups generated by convex combinations of several Feller generators in models of mathematical biology
- Contraction semigroups on metric graphs
- A note on convergence of semigroups
- One-Parameter Semigroups for Linear Evolution Equations
- Diffusion Processes in One Dimension
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