Contemporary Mathematics- Transient, Steady-State, and Ruin Probabilities of Markov Gambling Models

Fifteen articles from AMS sessions examine mathematical puzzles ranging from optimal game strategies in pickleball and poker variance to detailed explorations of data modeling, transient behaviors, and Markov processes. Acclaimed mathematicians share engaging insights into applied probability and analytical methods. This volume consists of fifteen articles mainly based upon presentations given at AMS Special Sessions at Joint Mathematics Meetings during 2022-2025. Sample topics include: the advantage of serving first in a pickleball match, variance calculations in Texas hold'em and video poker, a mathematical introduction to data modeling and decision making, transient symmetry analysis of absorbed random walks on integer lattices, and finding explicit transient probabilities within various Markov models. Among authors of articles in the volume are well-known mathematicians such as William A. Massey, Stewart N. Ethier, and Sheldon M. Ross.