Extreme statistics and index distribution in the classical 1dCoulomb gas
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Publication:4685003
DOI10.1088/1751-8121/aac75fzbMath1400.82260arXiv1802.10374OpenAlexW3106207050MaRDI QIDQ4685003
Satya N. Majumdar, Anupam Kundu, Sanjib Sabhapandit, Abhishek Dhar, Grégory Schehr
Publication date: 4 October 2018
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.10374
Random matrices (probabilistic aspects) (60B20) Statistics of extreme values; tail inference (62G32) Large deviations (60F10) Statistical mechanics of gases (82D05) Statistical thermodynamics (82B30) Ion traps (78A37)
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Cites Work
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- Edge universality of beta ensembles
- Large deviations of radial statistics in the two-dimensional one-component plasma
- Non-intersecting Brownian walkers and Yang-Mills theory on the sphere
- Near-extreme eigenvalues and the first gap of Hermitian random matrices
- Level-spacing distributions and the Airy kernel
- On the distribution of the largest eigenvalue in principal components analysis
- On orthogonal and symplectic matrix ensembles
- Reunion probability of \(N\) vicious walkers: typical and large fluctuations for large \(N\)
- Shape fluctuations and random matrices
- Extremal laws for the real Ginibre ensemble
- Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles
- A pedestrian's view on interacting particle systems, KPZ universality and random matrices
- Large Deviations of Extreme Eigenvalues of Random Matrices
- Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
- Exact Statistical Mechanics of a One-Dimensional System with Coulomb Forces
- Universality of the third-order phase transition in the constrained Coulomb gas
- Large deviations of surface height in the 1 + 1-dimensional Kardar–Parisi–Zhang equation: exact long-time results for λH<0
- On the distribution of the length of the longest increasing subsequence of random permutations
- Living at the Edge: A Large Deviations Approach to the Outage MIMO Capacity
- Index distribution of the Ginibre ensemble
- Aging of spherical spin glasses
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