PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mari Royer, Yakov Pesin, Anatole Katok, Svetlana Katok, Dmitri Burago.

Title:The generalized St. Petersburg games and its applications to p-adic series expansions
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Eveyth Deligero, U South Eastern Philippines
Abstract:
The St. Petersburg games is a classical example of an iid sequence of random variables with infinite expectation and so for a single game the ’fair’ entry fee is not determined. However, if the game is continuously played, Feller (1948) showed that the weak law of large numbers holds. Since then several results had been published and Vardi (1997) showed that known results for continued fraction can be obtained for the classical St. Petersburg games using the same proof technique. But for the case of the generalized St. Petersburg games, results obtained can be applied directly to continued fraction and other series expansions of formal Laurent series and to some series expansions of p-adic numbers. In this talk, we briefly recall the definition of St. Petersburg games and discuss some results obtained for the generalized St. Petersburg games. Then we show its applications to some p-adic series expansions. In particular, we discuss its applications to Oppenheim expansion which include Luroth, Engel and Sylvester as particular cases and see if it could be applied to p-adic continued fraction of Ruban.

Room Reservation Information

Room Number:MB106
Date:03 / 25 / 2009
Time:03:30pm - 05:30pm