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Title of Journal: Probab Theory Relat Fields

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Abbravation: Probability Theory and Related Fields

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Springer Berlin Heidelberg

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DOI

10.1007/s00521-015-2068-8

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1432-2064

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Invariance principle for the random conductance mo

Authors: S Andres M T Barlow JD Deuschel B M Hambly
Publish Date: 2012/06/12
Volume: 156, Issue: 3-4, Pages: 535-580
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Abstract

We study a continuous time random walk X in an environment of iid random conductances mu e in 0infty in mathbbZd We assume that mathbbPmu e 0 p c so that the bonds with strictly positive conductances percolate but make no other assumptions on the law of the μ e We prove a quenched invariance principle for X and obtain Green’s functions bounds and an elliptic Harnack inequality

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Other Papers In This Journal:
  1. Loss without recovery of Gibbsianness during diffusion of continuous spins
  2. On the Dirichlet problem for asymmetric zero-range process on increasing domains
  3. Propagation and conditional propagation of chaos for pressureless gas equations
  4. Wasserstein space over the Wiener space
  5. Markov processes on partitions
  6. Quasi-stationary distributions for structured birth and death processes with mutations
  7. Outliers in the spectrum of iid matrices with bounded rank perturbations
  8. Product of random projections, Jacobi ensembles and universality problems arising from free probability
  9. Poincaré type inequalities on the discrete cube and in the CAR algebra
  10. The largest eigenvalue of small rank perturbations of Hermitian random matrices
  11. Modified logarithmic Sobolev inequalities and transportation inequalities
  12. Asymptotic statistical equivalence for scalar ergodic diffusions
  13. Zero-temperature Glauber dynamics on $${\mathbb{Z}^d}$$
  14. Selector processes on classes of sets
  15. The divergence of Banach space valued random variables on Wiener space
  16. A simple proof of exponential decay of subcritical contact processes
  17. Large deviations for many Brownian bridges with symmetrised initial-terminal condition
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