Homogenization of a Random Walk on a Graph in $\mathbb R^d$: An Approach to Predict Macroscale Diffusivity in Media with Finescale Obstructions and Interactions
From MaRDI portal
Publication:5222127
DOI10.1137/18M1213981zbMath1440.60026arXiv1710.00385MaRDI QIDQ5222127
Muruhan Rathinam, Preston Donovan
Publication date: 31 March 2020
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.00385
Functional limit theorems; invariance principles (60F17) Continuous-time Markov processes on discrete state spaces (60J27)
Cites Work
- Recent progress on the random conductance model
- An optimal variance estimate in stochastic homogenization of discrete elliptic equations
- Quenched invariance principle for simple random walk on percolation clusters
- Asymptotic analysis of multiscale approximations to reaction networks
- Random walks and exclusion processes among random conductances on random infinite clusters: homogenization and hydrodynamic limit
- The diffusion limit for reversible jump processes on \(Z^ m\) with ergodic random bond conductivities
- Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
- Approximation of the effective conductivity of ergodic media by periodization
- Discrete Poincaré lemma
- Finite volume approximation of the effective diffusion matrix: The case of independent bond disorder
- Separation of time-scales and model reduction for stochastic reaction networks
- Central limit theorems and diffusion approximations for multiscale Markov chain models
- Quenched invariance principles for random walks with random conductances
- A Quantitative Central Limit Theorem for the Effective Conductance on the Discrete Torus
- Discrete Calculus
- AVERAGING OF DIFFERENCE SCHEMES
- On the functional central limit theorem and the law of the iterated logarithm for Markov processes
- Markov Chains
- Random walk in random environment, corrector equation and homogenized coefficients: from theory to numerics, back and forth
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item