two-dimensional elliptic determinantal point processes and ......dpp associated with k and a, or one...
TRANSCRIPT
Two-Dimensional Elliptic Determinantal Point Processes
and Related Systems
Makoto KATORI (Chuo Univ., Tokyo)Elliptic Integrable Systems, Special Functions
and Quantum Field Theory
Nordita, Stockholm, Sweden
16-20 June 2019 1
Commun. Math. Phys.(https://doi.org/10.1007/s00220-019-03351-5)
Joint work with Tomoyuki SHIRAI (Kyushu Univ.) (https://arxiv.org/abs/1903.04945)
Plan1. Introduction to Determinantal Point Processes 2. Partial Isometry and DPPs3. Orthonormal Functions and Correlation Kernels4. Seven Finite DPPs on a Torus5. Symmetry and Bulk Scaling Limits6. Concluding Remarks
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1. Introduction to Determinantal Point Processes (DPPs)
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Poisson point process an example of DPP (Ginibre DPP)
(Computer simulation by T. Matsui (Chuo U.))
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2. Partial Isometry and DPPs
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3. Orthonormal Functions and Correlation Kernels
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4. Seven Finite DPPs on a Torus
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5. Symmetry and Bulk Scaling Limits
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x
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Three types of Ginibre DPPs
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6. Concluding Remarks
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Thank you very muchfor your attention.