Asymptotic Behaviour of Poisson-Dirichlet Distribution and Random Energy Model

DOI10.1007/978-3-319-13984-5_7zbMath1498.60107OpenAlexW2376694037MaRDI QIDQ5038265

Youzhou Zhou, Shui Feng

Publication date: 30 September 2022

Published in: XI Symposium on Probability and Stochastic Processes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-13984-5_7

zbMATH Keywords

phase transitionlarge deviationsDirichlet processrandom energy modelPoisson-Dirichlet distribution

Mathematics Subject Classification ID

Large deviations (60F10)

Related Items (1)

Limit theorems associated with the Pitman–Yor process

Cites Work

• The two-parameter Poisson-Dirichlet point process
• Moderate deviations for Poisson-Dirichlet distribution
• Asymptotic results for the two-parameter Poisson-Dirichlet distribution
• Asymptotic behavior of the Poisson-Dirichlet distribution for large mutation rate
• Poisson-Dirichlet distribution with small mutation rate
• Size-biased sampling of Poisson point processes and excursions
• The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
• When can one detect overdominant selection in the infinite-alleles model?
• Gaussian limits associated with the Poisson-Dirichlet distribution and the Ewens sampling formula
• Order statistics for jumps of normalised subordinators
• Large deviations for Dirichlet processes and Poisson-Dirichlet distribution with two parameters
• Random-energy model: An exactly solvable model of disordered systems
• The Poisson-Dirichlet Distribution and Related Topics
• Pushing the Limits of Contemporary Statistics: Contributions in Honor of Jayanta K. Ghosh
• Arcsine Laws and Interval Partitions Derived from a Stable Subordinator
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