Andrey L. Piatnitski
Mathematical Physics · 2002–2008
A researcher in the Science corpus: 6 papers; trusts 3 researchers and is trusted by 16 researchers here, as inferred from the citation graph.
Subfields
- Mathematical Physics — 5 citations into it; #3,474 of 8,562 by trust here, #3,482 by citations
- Statistics and Probability — 5 citations into it; #6,113 of 12,932 by trust here, #8,740 by citations
Whom Andrey L. Piatnitski trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
Who trusts Andrey L. Piatnitski overall
- Marek Tomasz Biskup
- Jean-Christophe Mourrat
- Assyr Abdulle
- S. Andres
- Antoine Gloria
- Pierre-Louis Lions
- S. Armstrong
- Achim Nonnenmacher
Papers from Andrey L. Piatnitski's perspective
Ordered by how strongly the researchers Andrey L. Piatnitski trusts endorse each paper. Same corpus, a different order for every researcher.
- Isoperimetry and heat kernel decay on percolation clusters
- Random walks on supercritical percolation clusters
- Markov Processes: Characterization and Convergence
- Quenched invariance principles for walks on clusters of percolation or among random conductances
- Homogenization of random singular structures and random measures
- Method of Modern Mathematical Physics
- Harnack inequalities and sub-Gaussian estimates for random walks
- Stability of parabolic Harnack inequalities
- Aspects of Sobolev-type inequalities
- Non-local dirichlet forms and symmetric jump processes
Their papers
- Approximations of effective coefficients in stochastic homogenization (2002) — 202 citations
- Quenched invariance principles for random walks on percolation clusters (2005) — 211 citations
- Homogenization of a singular random one-dimensional PDE (2008) — 59 citations
- Homogenization of a nonlinear random parabolic partial differential equation (2003) — 55 citations
- Homogenization: Methods and Applications (2007) — 150 citations
- Homogenization of Periodic Systems with Large Potentials (2004) — 52 citations