Simple matrix models for random Bergman metrics

DOI10.1088/1742-5468/2012/04/P04012zbMath1456.82499arXiv1112.4382MaRDI QIDQ3301356

Semyon Klevtsov, Steven Zelditch, Frank Ferrari

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4382

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Random matrices (probabilistic aspects) (60B20) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Kähler manifolds (32Q15) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (5)

Stability and integration over Bergman metrics ⋮ Heavy tails in Calabi-Yau moduli spaces ⋮ Multi-loop zeta function regularization and spectral cutoff in curved spacetime ⋮ Asymptotic expansion of the off-diagonal Bergman kernel on compact Kähler manifolds ⋮ Expected centre of mass of the random Kodaira embedding

Cites Work

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