journal article Jan 01, 2018

A note on tail triviality for determinantal point processes

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References
7
[1]
[1] Alexander I. Bufetov, Yanqi Qiu, and Alexander Shamov, <i>Kernels of conditional determinantal measures and the Lyons–Peres conjecture</i>, (2016), Preprint, <a href="arXiv:1612.06751">arXiv:1612.06751</a>.
[2]
[6] Hirofumi Osada and Hideki Tanemura, <i>Infinite-dimensional stochastic differential equations and tail</i> $\sigma $<i>-fields</i>, (2014), Preprint, <a href="arXiv:1412.8674">arXiv:1412.8674</a>.
[3]
[2] Alexander S. Kechris, <i>Classical descriptive set theory</i>, Graduate Texts in Mathematics, vol. 156, Springer-Verlag, New York, 1995. 10.1007/978-1-4612-4190-4
[4]
[3] Russell Lyons, <i>Determinantal probability measures</i>, Publ. Math. Inst. Hautes Études Sci. <b>98</b> (2003), no. 1, 167–212. 10.1007/s10240-003-0016-0
[5]
[4] Russell Lyons, <i>Determinantal probability: Basic properties and conjectures</i>, Proceedings of the International Congress of Mathematicians. Volume IV (Sun Young Jang, Young Rock Kim, Dae-Woong Lee, and Ikkwon Yie, eds.), Kyung Moon Sa, Seoul, 2014, Invited lectures, Held in Seoul, August 13–21, 2014, pp. 137–161.
[6]
[5] Hirofumi Osada and Shota Osada, <i>Discrete approximations of determinantal point processes on continuous spaces: Tree representations and tail triviality</i>, J. Stat. Phys. <b>170</b> (2018), no. 2, 421–435. 10.1007/s10955-017-1928-2
[7]
[7] Tomoyuki Shirai and Yoichiro Takahashi, <i>Random point fields associated with certain Fredholm determinants. I. Fermion, Poisson and boson point processes</i>, J. Funct. Anal. <b>205</b> (2003), no. 2, 414–463. 10.1016/s0022-1236(03)00171-x
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Published
Jan 01, 2018
Vol/Issue
23(none)
Cite This Article
Russell Lyons (2018). A note on tail triviality for determinantal point processes. Electronic Communications in Probability, 23(none). https://doi.org/10.1214/18-ecp175