Alexei Borodin

Mathematical Physics · 1999–2018

A researcher in the Science corpus: 21 papers; trusts 57 researchers and is trusted by 26 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 151 citations into it; #1,002 of 8,562 by trust here, #740 by citations
• Statistics and Probability — 146 citations into it; #1,394 of 12,932 by trust here, #1,432 by citations
• Discrete Mathematics and Combinatorics — 79 citations into it; #155 of 2,017 by trust here, #163 by citations
• Condensed Matter Physics — 41 citations into it; #304 of 1,948 by trust here, #723 by citations
• Geometry and Topology — 30 citations into it; #2,285 of 7,422 by trust here, #3,959 by citations
• Applied Mathematics — 20 citations into it; #4,574 of 7,620 by trust here, #7,035 by citations
• Algebra and Number Theory — 14 citations into it
• Artificial Intelligence — 12 citations into it; #12,282 of 35,345 by trust here, #25,809 by citations

Whom Alexei Borodin trusts overall

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

1. Neil O'Connell
2. K. Johansson
3. Craig A. Tracy
4. Ivan Corwin
5. Eric M. Rains
6. Jinho Baik
7. A. Okounkov
8. Pasquale Calabrese
9. Grigori Olshanski
10. Russell Lyons

Who trusts Alexei Borodin overall

1. Ivan Corwin
2. Grigori Olshanski
3. L. Petrov
4. Jeremy Quastel
5. Vadim Gorin
6. Alex Kulesza
7. K. Takeuchi
8. P. Ferrari
9. Alexey I. Bufetov
10. B. Taskar

Papers from Alexei Borodin's perspective

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

1. Determinantal random point fields
2. Discrete Polynuclear Growth and Determinantal Processes
3. Infinite wedge and random partitions
4. Scaling Limit for the Space-Time Covariance of the Stationary Totally Asymmetric Simple Exclusion Process
5. Limiting Distributions for a Polynuclear Growth Model with External Sources
6. Determinantal probability measures
7. Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
8. Current Fluctuations for the Totally Asymmetric Simple Exclusion Process
9. Local Characteristics, Entropy and Limit Theorems for Spanning Trees and Domino Tilings Via Transfer-Impedances
10. Non-intersecting paths, random tilings and random matrices

Their papers

• The Ginibre Ensemble of Real Random Matrices and its Scaling Limits (2008) — 161 citations
• Large time asymptotics of growth models on space-like paths I: PushASEP (2007) — 166 citations
• Macdonald processes (2011) — 438 citations
• From duality to determinants for q-TASEP and ASEP (2012) — 199 citations
• Fluctuation Properties of the TASEP with Periodic Initial Configuration (2006) — 284 citations
• Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension (2012) — 185 citations
• Janossy Densities. I. Determinantal Ensembles (2002) — 48 citations
• On a family of symmetric rational functions (2014) — 125 citations
• On adding a list of numbers (and other one-dependent determinantal processes) (2009) — 82 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
• Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs (2004) — 292 citations
• Integrable probability: stochastic vertex models and symmetric functions (2018) — 59 citations
• Determinantal point processes (2018) — 70 citations
• Higher spin six vertex model and symmetric rational functions (2016) — 137 citations
• Representations of the Infinite Symmetric Group (2016) — 62 citations
• Stochastic six-vertex model (2014) — 161 citations
• Height Fluctuations for the Stationary KPZ Equation (2014) — 147 citations
• Lectures on integrable probability (2012) — 166 citations
• The boundary of the Gelfand–Tsetlin graph: A new approach (2011) — 63 citations