Quantitative homogenization of the parabolic and elliptic Green's functions on percolation clusters
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Publication:2039410
DOI10.1214/20-AOP1456zbMath1467.35033arXiv1909.10439MaRDI QIDQ2039410
Publication date: 2 July 2021
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.10439
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Fundamental solutions to PDEs (35A08) Processes in random environments (60K37) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Green's functions for elliptic equations (35J08) Heat kernel (35K08)
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Cites Work
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- Harnack inequalities on weighted graphs and some applications to the random conductance model
- Heat kernel estimates for random walks with degenerate weights
- Mesoscopic higher regularity and subadditivity in elliptic homogenization
- Quenched invariance principle for simple random walk on clusters in correlated percolation models
- Invariance principle for the random conductance model
- Recent progress on the random conductance model
- Invariance principle for symmetric diffusions in a degenerate and unbounded stationary and ergodic random medium
- An optimal variance estimate in stochastic homogenization of discrete elliptic equations
- Variance decay for functionals of the environment viewed by the particle
- Standard spectral dimension for the polynomial lower tail random conductances model
- 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
- An invariance principle for reversible Markov processes. Applications to random motions in random environments
- A regularity theory for random elliptic operators
- Quenched invariance principle for simple random walk on percolation clusters
- Disorder, entropy and harmonic functions
- Moment bounds for the corrector in stochastic homogenization of a percolation model
- The probability of a large cluster in supercritical Bernoulli perlocation
- Parabolic Harnack inequality and local limit theorem for percolation clusters
- Nonlinear stochastic homogenization
- Density and uniqueness in percolation
- On the regularity of the minima of variational integrals
- Parabolic Harnack inequality and estimates of Markov chains on graphs
- On the mixing time of a simple random walk on the super critical percolation cluster
- Quantitative stochastic homogenization and regularity theory of parabolic equations
- A Liouville theorem for elliptic systems with degenerate ergodic coefficients
- Quantitative results on the corrector equation in stochastic homogenization
- 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
- Averaging of symmetric diffusion in random medium
- Isoperimetry and heat kernel decay on percolation clusters.
- Quenched invariance principles for walks on clusters of percolation or among random conduc\-tances
- Surface order large deviations for Ising, Potts and percolation models
- Random walks on infinite percolation clusters in models with long-range correlations
- Optimal quantitative estimates in stochastic homogenization for elliptic equations in nondivergence form
- Quenched invariance principle for random walks among random degenerate conductances
- Green kernel asymptotics for two-dimensional random walks under random conductances
- Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics
- Heat-kernel estimates for random walk among random conductances with heavy tail
- Invariance principle for the random conductance model with unbounded conductances
- Decoupling inequalities and supercritical percolation for the vacant set of random walk loop soup
- Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps
- Invariance principle for the random conductance model in a degenerate ergodic environment
- The additive structure of elliptic homogenization
- On homogenization and scaling limit of some gradient perturbations of a massless free field
- Supercritical loop percolation on \(\mathbb{Z}^d\) for \(d \geq 3\)
- An optimal error estimate in stochastic homogenization of discrete elliptic equations
- Functional CLT for random walk among bounded random conductances
- Quenched invariance principles for random walks with random conductances
- On the chemical distance for supercritical Bernoulli percolation
- Quantitative
- Subdiffusive heat-kernel decay in four-dimensional i.i.d. random conductance models
- Compactness methods in the theory of homogenization
- Lp bounds on singular integrals in homogenization
- An approximation of partial sums of independent RV's, and the sample DF. II
- An approximation of partial sums of independent RV'-s, and the sample DF. I
- Percolation
- Large Deviations for Heat Kernels on Graphs
- Elliptic Regularity and Quantitative Homogenization on Percolation Clusters
- Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes
- Large deviations for discrete and continuous percolation
- Random walk in random environment, corrector equation and homogenized coefficients: from theory to numerics, back and forth
- Quantitative Stochastic Homogenization and Large-Scale Regularity
- Quenched invariance principles for random walks on percolation clusters
- Bounds for the fundamental solution of a parabolic equation
- Stochastic Homogenization of Nonconvex Discrete Energies with Degenerate Growth
