Large deviations for the Fermion point process associated with the exponential kernel

DOI10.1007/s10955-006-9026-xzbMath1110.60051OpenAlexW2078777119MaRDI QIDQ2506282

Tomoyuki Shirai

Publication date: 28 September 2006

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-006-9026-x

zbMATH Keywords

determinantal point processGinibre ensemble

Mathematics Subject Classification ID

Large deviations (60F10) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (16)

Zeros of the i.i.d. Gaussian Laurent series on an annulus: weighted Szegő kernels and permanental-determinantal point processes ⋮ Cellular Networks with $$\alpha $$-Ginibre Configurated Base Stations ⋮ Hole probabilities for \(\beta\)-ensembles and determinantal point processes in the complex plane ⋮ Point processes, hole events, and large deviations: random complex zeros and Coulomb gases ⋮ Determinantal Point Processes ⋮ Large gap asymptotics on annuli in the random normal matrix model ⋮ Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble ⋮ Interacting Brownian motions in infinite dimensions with logarithmic interaction potentials ⋮ Infinite-dimensional stochastic differential equations related to random matrices ⋮ A note on the simulation of the Ginibre point process ⋮ Absolute continuity and singularity of palm measures of the Ginibre point process ⋮ Large deviations of the interference in the Ginibre network model ⋮ Continuum percolation and stochastic epidemic models on Poisson and Ginibre point processes ⋮ Stochastic geometry and dynamics of infinitely many particle systems—random matrices and interacting Brownian motions in infinite dimensions ⋮ Ginibre-type point processes and their asymptotic behavior ⋮ Local number variances and hyperuniformity of the Heisenberg family of determinantal point processes

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