Math 705, Seminar in Probability, Fall 2019

Class meets every Friday 1-3PM in KAP 245

Faculty Supervisor: Sergey Lototsky. 

Office: KAP 248D.

Phone: (213) 740-2389. 

Office Hours: MWF 11-11:50am.

Walk-ins and appointments at other time are welcome.

The objective this semester: To discuss current research projects and future plans of participating students.

Participating students: Ujan Gangopadhyay, Austin Pollok, John Rahmani, Apoorva Shah.

What we did

• August 30: Introduction and general discussion.

• September 6: Presentation by John on mixing and cut-off phenomena for Markov chains on certain  non-Abelian groups.

• September 13: Presentation by Austin on the Kelly criterion and related topics in gambling/investing.

• September 20: No meeting (an off week).

• September 27: Presentation by Ujan on the first passage percolation.

• October 4 and 11: Presentation by Apoorva on nonlinear SPDEs.

• October 18: No meeting (Fall recess).

• October 25: Presentation by John on mixing in the top-to-random shuffle.

• November 1: No meeting (an off week).

• November 8: Austin (preparation for the oral exam).

• November 15: Presntation by Ujan on limits of random graphs and existence of a giant component.

• November 22: Presntation by John on coupling and applications to convergence of Markov chains.

• November 29: No meeting (Thanksgiving Break).

• December 6: Apoorva (preparation for the oral exam).