# 40.Equilibrium Distributions for t-distributed Stochastic Neighbour Embedding.

Antonio Auffinger, Daniel Fletcher.

*Preprint.*Qiang Zeng - Boas Assistant Professor, 2016-2018

Zhehua Li - Posdoctoral Lecturer, 2019-2021

Cathy Chen - Ph.D. 2022

Daniel Fletcher - Graduate student

Christian Gorski - Graduate student

Curtis Grant - Graduate student

Yi Gu - Graduate student

Pax Kivimae - Ph.D. 2022

Si Tang - Ph.D. 2017

Yuxin Zhou - Graduate student

Research currently sponsored by NSF grants DMS #2154076, NSF CAREER grant DMS #1653552 and by Simons Foundation/SFARI (597491-RWC).

Antonio Auffinger, Daniel Fletcher. * Preprint.*

Antonio Auffinger, Yuxin Zhou. * Preprint.*

Antonio Auffinger, Christian Gorski. * Probability Theory and Related Fields (2023) https://doi.org/10.1007/s00440-023-01196-7*

Antonio Auffinger, Andrea Montanari, Eliran Subag *To appear as a contribution to the edited volume "Spin Glass Theory, Far Beyond - Replica Symmetry Breaking after 40 Years", World Scientific.*

Antonio Auffinger, Qiang Zeng. * Preprint.*

Antonio Auffinger, Qiang Zeng *to appear at Comm. Math. Phys.*

Antonio Auffinger, Gerard Ben Arous, Zhehua Li *Journal of Mathematical Physics, Volume 63, Issue 4 - special collection in honor of Freeman Dyson.*

Antonio Auffinger, Cathy Xi Chen *Journal of Statistical Physics volume 184, Article number: 22 (2021)*

Antonio Auffinger, Julian Gold. *Preprint.*

Antonio Auffinger, Yuxin Zhou. *Stochastic Processes and their Applications Volume 146, April 2022, Pages 382-413.*

Antonio Auffinger, Antonio Lerario, Erik Lundberg. *IMRN Volume 2021, Issue 20, October 2021, Pages 15497–15532.*

Antonio Auffinger, Aukosh Jagannath. *J. Stat. Phys, Volume 174, 316--332, (2019).*

Antonio Auffinger, Qiang Zeng. *Comm. Math. Phys., Volume 370, Issue 1, pp 377--402, (2019)*

Antonio Auffinger, Dylan Cable. *Preprint.*

Antonio Auffinger, Wei-Kuo Chen, Qiang Zeng. *Comm. Pure Appl. Math., 73: 921-943, (2020)*

Antonio Auffinger, Wei-Kuo Chen. *Advances in Mathematics 330 (2018), 553–588.*

Antonio Auffinger, Aukosh Jagannath. *Annals of Probability, Volume 47, Number 4 (2019), 2230-2256*

Antonio Auffinger, Wei-Kuo Chen. * Proceedings of the AMS.* 146, 1807-1815 (2018).

Antonio Auffinger, Wei-Kuo Chen. * Annals of Probability 2017, Vol. 45, No. 6B, 4617-4631.*

Antonio Auffinger, Wei-Kuo Chen. * Electron. J. Probab., Volume 22 (2017), paper no. 61, 17 pp.*

Antonio Auffinger, Michael Damron and Jack T. Hanson. *University Lecture Series, Vol. 68; 2017; 161pp.*

Antonio Auffinger and Wei-Kuo Chen. * Comm. Math. Phys. Vol. 348, Issue 3, pp 751–770, (2016).*

Antonio Auffinger and Si Tang. * Stochastic Processes and Applications, Vol. 126, Issue 11, November 2016, Pages 3310-3330.*

Antonio Auffinger and Wei-Kuo Chen. * Comm. on Pure and Applied Math. Vol. LXIX, 2107–2130 (2016)*

Antonio Auffinger and Si Tang. * Electron. J. Probab. Volume 21 (2016), paper no. 24, 23 pp*

Antonio Auffinger, Michael Damron and Jack T. Hanson. * Advances in Mathematics, Volume 285, 5 November 2015, Pages 138-181*

Antonio Auffinger, Wei-Kuo Chen. * Comm. Math. Phys. 2015, Vol. 335, Issue 3, pp 1429-1444*

Antonio Auffinger, Michael Damron. * Annals of Probability 42 (2014), no. 3, 1197–1211*

Antonio Auffinger. * Bull. Amer. Math. Soc. (N.S.) 53 (2016), no. 1, 173–177*

Antonio Auffinger, Wei-Kuo Chen. * Probab. Theory and Rel. Fields. 2015, Vol. 161, Issue 3, pp 817-850.*

Antonio Auffinger, Wei-Kuo Chen. * J. Stat. Phys. 2014, Volume 157, Issue 1, pp 40-59*

Antonio Auffinger, Michael Damron, Jack T. Hanson.* Ann. Appl. Probab. 2015, Vol. 25, No. 1, 373-405.*

Antonio Auffinger, Michael Damron. * ALEA, Lat. Am. J. Probab. Math. Stat. 10 (2), 857-880 (2013)*

Antonio Auffinger, Gerard Ben Arous. * Annals of Probability 2013, Vol. 41, No. 6, 4214-4247*

Antonio Auffinger, Michael Damron. * Probab. Theory Related Fields, 2013 Volume 156, Issue 1-2, pp 193-227*

Antonio Auffinger, Gerard Ben Arous, Jiri Cerny. * Comm. on Pure and Applied Math. Volume 66, Issue 2 (2013) *

Antonio Auffinger, Oren Louidor. * Comm. on Pure and Applied Math. Volume 64 no. 2, 183-204 (2011)*

Antonio Auffinger, Gerard Ben Arous, Sandrine Peche. * Annales de l'Institut Henri Poincare Volume 45 no. 3 pg. 589-610 (2009)*

Antonio Auffinger. * New York University New York, NY, USA, ISBN: 978-1-124-80735-5*

Antonio Auffinger, Jinho Baik, Ivan Corwin.