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Seminar Details

Generalized Ray-Knight Theorems: Their Applications and Limitations

  • Start Date: April 1, 2024
  • Event Start Time: 2:00 PM
  • Event End Time: 3:00 PM
  • Seminar Series: Rutgers Discrete Mathematics Seminar
  • Presenter(s): Elena Kosygina - Baruch College, City University of New York
  • Event Location: Conference Room 705 | Rutgers University | Hill Center | 110 Frelinghuysen Rd
  • Event Additional Info: <p>See:&nbsp;<a href="https://sites.google.com/view/rutgersdmseminar">https://sites.google.com/view/rutgersdmseminar</a></p>
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    Generalized Ray-Knight theorems for edge local times have proved to be a very useful tool for studying the limiting behavior of a number of models of self-interacting random walks (SIRWs) on integers. I shall describe several classes of SIRWs introduced and studied by Balint Toth in late 1990s and discuss applications and limitations of generalized Ray-Knight theorems in establishing functional limit theorems for these models.

    The talk is based on joint work with Thomas Mountford (EPFL) and Jonathon Peterson (Purdue University).