Grigori Olshanski

Mathematical Physics · 1999–2016

A researcher in the Science corpus: 10 papers; trusts 14 researchers and is trusted by 14 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 18 citations into it; #2,360 of 8,562 by trust here, #1,776 by citations
• Geometry and Topology — 15 citations into it; #4,479 of 7,422 by trust here, #6,910 by citations
• Discrete Mathematics and Combinatorics — 7 citations into it; #310 of 2,017 by trust here, #223 by citations
• Statistics and Probability — 7 citations into it; #3,030 of 12,932 by trust here, #2,965 by citations
• Statistical and Nonlinear Physics — 6 citations into it
• Applied Mathematics — 5 citations into it; #4,573 of 7,620 by trust here, #7,035 by citations
• Computational Theory and Mathematics — 5 citations into it; #7,505 of 12,182 by trust here, #10,349 by citations

Whom Grigori Olshanski trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Alexei Borodin
2. Alexander V. Gnedin
3. Jim Pitman
4. V. Ivanov
5. Onno van Gaans
6. Alexander Soshnikov
7. A. Okounkov
8. Alain Lascoux
9. Freeman J. Dyson
10. A. Eskin

Who trusts Grigori Olshanski overall

1. Alexei Borodin
2. L. Petrov
3. Philippe Biane
4. Anatoly M. Vershik
5. Alexey I. Bufetov
6. Nayantara Bhatnagar
7. Russell Lyons
8. Ron Peled
9. Vadim Gorin
10. A. Okounkov

Papers from Grigori Olshanski's perspective

Ordered by how strongly the researchers Grigori Olshanski trusts endorse each paper. Same corpus, a different order for every researcher.

1. Harmonic analysis on the infinite symmetric group
2. Exchangeable Gibbs partitions and Stirling triangles
3. Determinantal random point fields
4. An Introduction to Probability Theory and Its Applications
5. The Classical Groups
6. Markov Processes: Characterization and Convergence
7. Representation Theory of the Symmetric Group
8. The Symmetric Group
9. Stein’s method and Plancherel measure of the symmetric group
10. Infinite-dimensional diffusions as limits of random walks on partitions

Their papers

• Kerov’s Central Limit Theorem for the Plancherel Measure on Young Diagrams (2003) — 182 citations
• Harmonic analysis on the infinite symmetric group (2003) — 163 citations
• q-exchangeability via quasi-invariance (2009) — 72 citations
• Coherent permutations with descent statistic and the boundary problem for the graph of zigzag diagrams (2005) — 50 citations
• Infinite-dimensional diffusions as limits of random walks on partitions (2007) — 65 citations
• Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes (2001) — 147 citations
• An introduction to harmonic analysis on the infinite symmetric group (2003) — 53 citations
• Representations of the Infinite Symmetric Group (2016) — 62 citations
• The boundary of the Gelfand–Tsetlin graph: A new approach (2011) — 63 citations
• Distributions on Partitions, Point Processes,¶ and the Hypergeometric Kernel (1999)