The geometric Burge correspondence and the partition function of polymer replicas
DOI10.1007/s00029-021-00712-8zbMath1482.82055arXiv2001.09145OpenAlexW3206305052MaRDI QIDQ2056165
Elia Bisi, Neil O'Connell, Nikos Zygouras
Publication date: 1 December 2021
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.09145
geometric liftingRobinson-Schensted-Knuth correspondenceSchützenberger involutionlog-gamma polymerBurge correspondencepolymer replica
Permutations, words, matrices (05A05) Statistical mechanics of polymers (82D60) Exactly solvable models; Bethe ansatz (82B23) Processes in random environments (60K37) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)
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- Directed polymers in random environments. École d'Été de Probabilités de Saint-Flour XLVI -- 2016
- Tableaux and matrix correspondences
- Scaling for a one-dimensional directed polymer with boundary conditions
- Geometric RSK correspondence, Whittaker functions and symmetrized random polymers
- Growth diagrams, and increasing and decreasing chains in fillings of Ferrers shapes
- Generalized Robinson-Schensted-Knuth correspondence
- Archimedean \(L\)-factors on \(\text{GL}(n)\times\text{GL}(n)\) and generalized Barnes integrals
- Spin-preserving Knuth correspondences for ribbon tableaux
- Four correspondences between graphs and generalized Young tableaux
- Algebraic aspects of increasing subsequences
- Shape fluctuations and random matrices
- Color-position symmetry in interacting particle systems
- Full-path localization of directed polymers
- Symmetries of stochastic colored vertex models
- The endpoint distribution of directed polymers
- Sorting networks, staircase Young tableaux, and last passage percolation
- Localization in Gaussian disordered systems at low temperature
- Proof of the path localization conjecture for directed polymers
- Jeu de taquin dynamics on infinite Young tableaux and second class particles
- Tropical combinatorics and Whittaker functions
- Permutations, matrices, and generalized Young tableaux
- Mellin transforms of GL ( n , [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /) whittaker functions]
- La correspondance de Robinson
- On the distribution of the length of the longest increasing subsequence of random permutations
- Stationary Phase Integrals, Quantum Toda Lattices, Flag Manifolds and the Mirror Conjecture
- Variants of Geometric RSK, Geometric PNG, and the Multipoint Distribution of the Log-Gamma Polymer
- HALF-SPACE MACDONALD PROCESSES
- Point-to-line polymers and orthogonal Whittaker functions
- A Characterization of the Gamma Distribution
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