Tracy-Widom fluctuations in 2D random Schrödinger operators

DOI10.1007/s00220-019-03434-3zbMath1479.60143arXiv1803.11208OpenAlexW3103611975MaRDI QIDQ2323520

Bálint Virág, Marcin Kotowski

Publication date: 3 September 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.11208

zbMATH Keywords

2D random Schrödinger operatorslog-Gamma polymer

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) PDEs with randomness, stochastic partial differential equations (35R60) Random linear operators (47B80) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (1)

Fluctuations of the log-gamma polymer free energy with general parameters and slopes

Cites Work

• Log-gamma polymer free energy fluctuations via a Fredholm determinant identity
• Random-walk in beta-distributed random environment
• Scaling for a one-dimensional directed polymer with boundary conditions
• Binomial determinants, paths, and hook length formulae
• Tracy-Widom fluctuations for perturbations of the log-gamma polymer in intermediate disorder
• Tropical combinatorics and Whittaker functions
• Airy Processes and Variational Problems
• Probability

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