Class meets every Monday 1-3PM in KAP 245

Organizer: Sergey Lototsky. 

Office: KAP 248D.

Phone: (213) 740-2389. 

Office Hours: MWF 8:30-9:30am.

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: Lernik Asserian, Hyun-Jung Kim, John Rahmani, Jian Wang.

What we did

  • January 22: Introduction and general discussion.

  • January 29: Presentation by John on mixing and cut-off phenomena for Markov chains.

  • February 5: Jian’s rehersal of the upcoming defence.

  • February 12: Hyun-Jung’s rehersal of the upcoming defence.

  • February 19: Presidents Day.

  • February 27: Lernik’s presentation on a paper about random walk of a rook.

  • March 5: Presentation by John on connections between Markov processes and potential theory.

  • March 12: Spring Break.

  • March 19: Presentation by John on the simple symmetric random walk and discrete heat equation, part I.

  • March 26: Presentation by John on the simple symmetric random walk and discrete heat equation, part II.

  • April 2: A summary of math 605 this semester: Jian’s version.

  • April 9: A summary of math 605 this semester: Hyun-Jung’s version.

  • April 16: Amarjit Budhiraja, University of North Carolina. Large Deviations from the Hydrodynamic Limit for a System with Nearest Neighbor Interactions (Math finance colloquium).