Jason Schweinsberg

I am a Professor in the Department of Mathematics at the University of California at San Diego. Before coming to UCSD in the Fall of 2004, I got a Ph.D. in Statistics from the University of California at Berkeley in 2001, and then spent three years as an NSF postdoc in the Department of Mathematics at Cornell University.

I work in probability theory. Most of my research has been related to stochastic processes involving coalescence. Some of this work has focused on applications of coalescent processes to genetics. I have also done some research on loop-erased random walks, branching Brownian motion, interacting particle systems, and cancer models. My research is supported in part by NSF Grant DMS-1206195.

Address: Department of Mathematics, 0112; University of California, San Diego; 9500 Gilman Drive; La Jolla, CA 92093-0112
E-mail: jschwein@math.ucsd.edu
Office: 6157 Applied Physics and Mathematics

Courses

I will be teaching Math 180A (Introduction to Probability) and Math 286 (Stochastic Differential Equations) in the Fall of 2014.
I will not be teaching in the Winter or Spring of 2015, but I will be teaching again at UCSD during the 2015-2016 academic year.

Seminars and Conferences

Here is a link to the web page for the UCSD probability seminar.
Here is a link to the web page for the Seminar on Stochastic Processes 2014, which was held at UCSD on March 26-29, 2014.
Here is a link to the web page for a conference on Combinatorial Stochastic Processes, which was held at UCSD on June 20-21, 2014. The conference was intended, in part, as a celebration of the work of Jim Pitman.

Publications

  1. Prediction intervals for neural networks via nonlinear regression (with Richard De Veaux, Jennifer Schumi, and Lyle Ungar). Technometrics, 40 (1998), 273-282. Paper
  2. A necessary and sufficient condition for the Λ-coalescent to come down from infinity. Electron. Comm. Probab., 5 (2000), 1-11. Paper
  3. Coalescents with simultaneous multiple collisions. Electron. J. Probab., 5 (2000), 1-50. Paper
  4. Applications of the continuous-time ballot theorem to Brownian motion and related processes. Stochastic Process. Appl., 95 (2001), 151-176. Paper
  5. An O(n2) bound for the relaxation time of a Markov chain on cladograms. Random Struct. Alg., 20 (2002), 59-70. Paper
  6. Conditions for recurrence and transience of a Markov chain on Z+ and estimation of a geometric success probability (with James P. Hobert). Ann. Statist. 30 (2002), 1214-1223. Paper
  7. Coalescent processes obtained from supercritical Galton-Watson processes. Stochastic Process. Appl., 106 (2003), 107-139. Paper
  8. Self-similar fragmentations and stable subordinators (with Grégory Miermont). Séminaire de Probabilités, XXXVII, Lecture Notes in Math., 1832, pp. 333-359, Springer, Berlin (2003).
  9. Stability of the tail Markov chain and the evaluation of improper priors for an exponential rate parameter (with James P. Hobert and Dobrin Marchev). Bernoulli, 10 (2004), 549-564. Paper
  10. Approximating selective sweeps (with Richard Durrett). Theor. Popul. Biol. 66 (2004), 129-138. Paper
  11. Alpha-stable branching and beta-coalescents (with Matthias Birkner, Jochen Blath, Marcella Capaldo, Alison Etheridge, Martin Möhle, and Anton Wakolbinger). Electron. J. Probab. 10 (2005), 303-325. Paper
  12. Improving on bold play when the gambler is restricted. J. Appl. Probab. 42 (2005), 321-333. Paper
  13. Random partitions approximating the coalescence of lineages during a selective sweep (with Rick Durrett). Ann. Appl. Probab. 15 (2005), 1591-1651. Paper
  14. A coalescent model for the effect of advantageous mutations on the genealogy of a population (with Rick Durrett). Stochastic Process. Appl. 115 (2005), 1628-1657. Paper
  15. Power laws for family sizes in a duplication model (with Rick Durrett). Ann. Probab. 33 (2005), 2094-2126. Paper
  16. Beta-coalescents and continuous stable random trees (with Julien Berestycki and Nathanaël Berestycki). Ann. Probab. 35 (2007), 1835-1887. Paper
  17. Small time properties of beta coalescents (with Julien Berestycki and Nathanaël Berestycki). Ann. Inst. H. Poincaré Probab. Statist. 44 (2008), 214-238. Paper
  18. Spatial and non-spatial stochastic models for immune response (with Rinaldo B. Schinazi). Markov Process. Related Fields 14 (2008), 255-276.
  19. A contact process with mutations on a tree (with Thomas M. Liggett and Rinaldo B. Schinazi). Stochastic Process. Appl. 118 (2008), 319-332. Paper
  20. Loop-erased random walk on finite graphs and the Rayleigh process. J. Theoret. Probab. 21 (2008), 378-396. Paper
  21. Waiting for m mutations. Electron. J. Probab. 13 (2008), 1442-1478. Paper
  22. The loop-erased random walk and the uniform spanning tree on the four-dimensional discrete torus. Probab. Theory Related Fields. 144 (2009), 319-370. Paper
  23. A waiting time problem arising from the study of multi-stage carcinogenesis (with Rick Durrett and Deena Schmidt). Ann. Appl. Probab. 19 (2009), 676-718. Paper
  24. The number of small blocks in exchangeable random partitions. ALEA Lat. Am. J. Probab. Math. Stat. 7 (2010), 217-242. Paper
  25. Survival of near-critical branching Brownian motion (with Julien Berestycki and Nathanaël Berestycki). J. Statist. Phys. 143 (2011), 833-854. Paper
  26. Consensus in the two-state Axelrod model (with Nicolas Lanchier). Stochastic Process. Appl. 122 (2012), 3701-3717. Paper
  27. Dynamics of the evolving Bolthausen-Sznitman coalescent. Electron. J. Probab. 17 (2012), no. 91, 1-50. Paper
  28. The genealogy of branching Brownian motion with absorption (with Julien Berestycki and Nathanaël Berestycki). Ann. Probab. 41 (2013), 527-618. Paper
  29. The evolving beta coalescent (with Götz Kersting and Anton Wakolbinger). Electron. J. Probab. 19 (2014), no. 64, 1-27. Paper
  30. Critical branching Brownian motion with absorption: survival probability (with Julien Berestycki and Nathanaël Berestycki). Probab. Theory Related Fields 160 (2014), 489-520. Paper

Preprints

  1. Critical branching Brownian motion with absorption: particle configurations (with Julien Berestycki and Nathanaël Berestycki). Paper

Recent Talks