Large deviations for the Fermion point process associated with the exponential kernel
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Publication:2506282
DOI10.1007/s10955-006-9026-xzbMath1110.60051OpenAlexW2078777119MaRDI QIDQ2506282
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
Large deviations (60F10) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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Cites Work
- Unnamed Item
- Random analytic chaotic eigenstates.
- Random point fields associated with certain Fredholm determinants. I: Fermion, Poisson and Boson point processes.
- Zeros of Gaussian analytic functions
- Gaussian fluctuation for the number of particles in Airy, Bessel, sine, and other determinantal random point fields
- Deviations from the circular law
- Order statistics and Ginibre's ensembles
- Gaussian limit for determinantal random point fields.
- Random complex zeroes. III: Decay of the hole probability
- Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process
- Large charge fluctuations in classical Coulomb systems
- Determinantal random point fields
- The coincidence approach to stochastic point processes
- Chaotic analytic zero points: exact statistics for those of a random spin state
- Exact scattering theory for any straight reflectors in two dimensions
- Statistical Ensembles of Complex, Quaternion, and Real Matrices
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