Concatenation of Nonhonest Feller Processes, Exit Laws, and Limit Theorems on Graphs
DOI10.1137/22m1487552zbMath1528.60043arXiv2204.09354OpenAlexW4385807539WikidataQ122868437 ScholiaQ122868437MaRDI QIDQ6135330
Publication date: 24 August 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.09354
Feller processesexit lawsconcatenation of processesnonlocal boundary and transmission conditionsprocesses on metric graphssnapping out and skew Brownian motions
Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) One-parameter semigroups and linear evolution equations (47D06) Markov semigroups and applications to diffusion processes (47D07) Transition functions, generators and resolvents (60J35) Initial-boundary value problems for systems of linear first-order PDEs (35F46) Feller processes (60G53)
Cites Work
- Emergence of Freidlin-Wentzell's transmission conditions as a result of a singular perturbation of a semigroup
- The snapping out Brownian motion
- Estimates of the Green function for the fractional Laplacian perturbed by gradient
- From diffusions on graphs to Markov chains via asymptotic state lumping
- Semigroup approach to diffusion and transport problems on networks
- 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
- Generalized second order differential operators and their lateral conditions
- On boundaries and lateral conditions for the Kolmogorov differential equations
- Non-spectral asymptotic analysis of one-parameter operator semigroups
- Aspects of Brownian motion
- On the constructions of the skew Brownian motion
- Semigroups of linear operators and applications to partial differential equations
- One-parameter semigroups of positive operators
- Renaissance, recollements, mélanges, ralentissement de processus de Markov
- Diffusion processes on graphs and the averaging principle
- Degenerate convergence of semigroups
- Diffusion with nonlocal Robin boundary conditions
- Irregular convergence of mild solutions of semilinear equations
- On random perturbations of Hamiltonian systems with many degrees of freedom.
- Diffusion processes and their sample paths.
- The asymptotic behaviour of semigroups of linear operators
- Semigroup-theoretic approach to diffusion in thin layers separated by semi-permeable membranes
- Concatenation and pasting of right processes
- Asymptotic behaviour of fast diffusions on graphs
- Waves and diffusion on metric graphs with general vertex conditions
- A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups
- Extensions of Trotter's operator semigroup approximation theorems
- Branching Markov processes. II
- A limit theorem for perturbed operator semigroups with applications to random evolutions
- Brownian motions on a half line
- The parabolic differential equations and the associated semigroups of transformation
- Evolving systems of stochastic differential equations
- Asymptotic state lumping in transport and diffusion problems on networks with applications to population problems
- Brownian motions on metric graphs
- Random Perturbations of Dynamical Systems
- Lévy Systems and Moment Formulas for Mixed Poisson Integrals
- Boundaries Induced by Non-negative Matrices
- Modeling Diffusion in Thin 2D Layers Separated by a Semipermeable Membrane
- [https://portal.mardi4nfdi.de/wiki/Publication:3308821 It� excursion theory via resolvents]
- Knotting of One-Dimensional Feller Processes
- Convergence of One-Parameter Operator Semigroups
- Exact analytic solutions for diffusion impeded by an infinite array of partially permeable barriers
- One-Parameter Semigroups for Linear Evolution Equations
- Markov Chains
- An averaging principle for fast diffusions in domains separated by semi-permeable membranes
- Operators with Wentzell boundary conditions and the Dirichlet‐to‐Neumann operator
- Analytic Methods for Coagulation-Fragmentation Models
- Stochastic Processes
- Diffusion with nonlocal boundary conditions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Concatenation of Nonhonest Feller Processes, Exit Laws, and Limit Theorems on Graphs