Green kernel asymptotics for two-dimensional random walks under random conductances
DOI10.1214/20-ECP337zbMath1471.60159arXiv1808.08126MaRDI QIDQ2201537
Martin Slowik, Sebastian Andres, Jean-Dominique Deuschel
Publication date: 29 September 2020
Published in: Electronic Communications in Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.08126
Probabilistic potential theory (60J45) Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Transition functions, generators and resolvents (60J35) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50)
Related Items (6)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Harnack inequalities on weighted graphs and some applications to the random conductance model
- Heat kernel estimates for random walks with degenerate weights
- Invariance principle for the random conductance model
- Random walks on disordered media and their scaling limits. École d'Été de Probabilités de Saint-Flour XL -- 2010
- Gaussian upper bounds for heat kernels of continuous time simple random walks
- Recent progress on the random conductance model
- Effective resistances for supercritical percolation clusters in boxes
- On two-dimensional random walk among heavy-tailed conductances
- Quenched invariance principles for the random conductance model on a random graph with degenerate ergodic weights
- Anomalous heat-kernel decay for random walk among bounded random conductances
- Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments
- Harnack inequalities and local central limit theorem for the polynomial lower tail random conductance model
- Parabolic Harnack inequality and local limit theorem for percolation clusters
- Parabolic Harnack inequality and estimates of Markov chains on graphs
- Motion by mean curvature from the Ginzburg-Landau \(\nabla\phi\) interface model
- Green's functions for elliptic and parabolic equations with random coefficients
- Limit theory for random walks in degenerate time-dependent random environments
- Heat kernel estimates and intrinsic metric for random walks with general speed measure under degenerate conductances
- Quenched invariance principle for random walks with time-dependent ergodic degenerate weights
- Random walks on supercritical percolation clusters
- Equilibrium fluctuations for \(\nabla\varphi\) interface model
- Random walks on infinite percolation clusters in models with long-range correlations
- Quenched invariance principle for random walks among random degenerate conductances
- Invariance principle for the random conductance model with unbounded conductances
- Invariance principle for the random conductance model in a degenerate ergodic environment
- Heat kernel upper bounds for interacting particle systems
- Invariance principle for the random conductance model with dynamic bounded conductances
- Functional CLT for random walk among bounded random conductances
- Quenched invariance principles for random walks with random conductances
- Potential kernels for recurrent Markov chains
- On estimating the derivatives of symmetric diffusions in stationary random environment, with applications to \(\nabla\varphi\) interface model
- Subdiffusive heat-kernel decay in four-dimensional i.i.d. random conductance models
- Random Walk: A Modern Introduction
- Brownian Motion
This page was built for publication: Green kernel asymptotics for two-dimensional random walks under random conductances
