Some connections between the classical Calogero-Moser model and the log-gas
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Publication:2328711
DOI10.1007/s10955-019-02349-6zbMath1426.82037arXiv1903.09380OpenAlexW3098998195MaRDI QIDQ2328711
Abhishek Dhar, Sanaa Agarwal, Manas Kulkarni
Publication date: 10 October 2019
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.09380
Random matrices (probabilistic aspects) (60B20) Monte Carlo methods (65C05) Interacting particle systems in time-dependent statistical mechanics (82C22) Random matrices (algebraic aspects) (15B52) Monte Carlo methods applied to problems in statistical mechanics (82M31)
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Cites Work
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- Fluctuations of eigenvalues of random normal matrices
- Gaussian fluctuations of eigenvalues in log-gas ensemble: bulk case. I
- Gaussian fluctuations of eigenvalues in Wigner random matrices
- Three integrable Hamiltonian systems connected with isospectral deformations
- Finite-\(N\) fluctuation formulas for random matrices
- Transitive ensembles of random matrices related to orthogonal polynomials.
- Asymptotic correlations at the spectrum edge of random matrices
- Gaussian fluctuations of eigenvalues in the GUE
- Correlation functions, cluster functions, and spacing distributions for random matrices
- On the relation between orthogonal, symplectic and unitary matrix ensembles
- Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
- BULK UNIVERSALITY FOR ONE-DIMENSIONAL LOG-GASES
- A simple derivation of the Tracy–Widom distribution of the maximal eigenvalue of a Gaussian unitary random matrix
- The physics and mathematics of Calogero particles
- The classical hydrodynamics of the Calogero–Sutherland model
- Poisson structures of Calogero–Moser and Ruijsenaars–Schneider models
- The Distributions of Random Matrix Theory and their Applications
- Electrostatics and the Zeros of the Classical Polynomials
- Matrices, differential operators, and polynomials
- Emergence of the Calogero family of models in external potentials: duality, solitons and hydrodynamics
- Soliton solutions of a Calogero model in a harmonic potential
- On the Numerical Evaluation of Distributions in Random Matrix Theory: A Review
- Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
- Universality for random matrices and log-gases
- Universal dynamics of a soliton after an interaction quench
