A note on tail triviality for determinantal point processes

Russell Lyons

doi:10.1214/18-ecp175

journal article Jan 01, 2018

A note on tail triviality for determinantal point processes

Russell Lyons

Electronic Communications in Probability Vol. 23 No. none · Institute of Mathematical Statistics

View at Publisher Save 10.1214/18-ecp175

Topics

No keywords indexed for this article. Browse by subject →

References

7

[1]

[1] Alexander I. Bufetov, Yanqi Qiu, and Alexander Shamov, Kernels of conditional determinantal measures and the Lyons–Peres conjecture, (2016), Preprint, <a href="arXiv:1612.06751">arXiv:1612.06751</a>.

[2]

[6] Hirofumi Osada and Hideki Tanemura, Infinite-dimensional stochastic differential equations and tail $\sigma $-fields, (2014), Preprint, <a href="arXiv:1412.8674">arXiv:1412.8674</a>.

[3]

[2] Alexander S. Kechris, Classical descriptive set theory, Graduate Texts in Mathematics, vol. 156, Springer-Verlag, New York, 1995. 10.1007/978-1-4612-4190-4

[4]

[3] Russell Lyons, Determinantal probability measures, Publ. Math. Inst. Hautes Études Sci. 98 (2003), no. 1, 167–212. 10.1007/s10240-003-0016-0

[5]

[4] Russell Lyons, Determinantal probability: Basic properties and conjectures, 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, Discrete approximations of determinantal point processes on continuous spaces: Tree representations and tail triviality, J. Stat. Phys. 170 (2018), no. 2, 421–435. 10.1007/s10955-017-1928-2

[7]

[7] Tomoyuki Shirai and Yoichiro Takahashi, Random point fields associated with certain Fredholm determinants. I. Fermion, Poisson and boson point processes, J. Funct. Anal. 205 (2003), no. 2, 414–463. 10.1016/s0022-1236(03)00171-x

Metrics

17

Citations

7

References

Details

Published: Jan 01, 2018
Vol/Issue: 23(none)

Authors

R

Russell Lyons

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

A note on tail triviality for determinantal point processes

You May Also Like