Randall J. Swift
Professor of Mathematics and Statistics
California State Polytechnic University, Pomona

 

 

 

 

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Everything flows, nothing is stationary
--Heraclitus

 

 

Research Interests

  • Birth-Death Processes
  • Mathematical Epidemiology
  • Mathematical Modeling of Biological and Natural Phenomena
  • Probability Theory
  • Harmonizable Processes and Fields
  • Nonstationary Processes
  • Differential Equations
  • Queueing Theory

 

 

Research Students

Current Students

  • Natalie Gasca – Modeling the spread of homeless people
  • Grace Lim – Rumor modeling

Past Thesis Students

  • April Morton (2013) – A Process Model for Capturing Museum Population Dynamics, (jointly directed with R. Stewart, Oak Ridge National Laboratory)
  • Michael Freeman (2012) – Brownian Motion and Utility Commodity Pricing
  • Jonathan Neal (2011) – An Approximation to the Carrier-Borne Epidemic
  • Kevin Siongco (2011) – Analysis of Negative Binomial Gambling Games
  • Silviana Carstea-Munayco (2011) – The Single Server Queues with Total Catastrophe
  • Daniel Bortis (2011) – A Deterministic Model for the Spread of Polio
  • Sarah Freed (2007) – Mathematical Aspects of Welfare Economics and the Social Choice Function
  • Robert Fischer (2007) – Stationary Processes and Bochner’s Theorem
  • Mary Sharobiem (2006) – Using Generating Functions and Cyclotomic Polynomials to Relabel Dice
  • Jennifer Sun (2006) – Carrier-Borne Epidemic Models
  • John Mathewson (2005) – Arthropod-Borne Virus Transmission Models
  • Michael Wang (2005) - Nonhomogeneous Birth Death Processes
  • Glen Armstrong (2004) - Queues with Multiple Service Rates
  • Sharyn Ly (2004) - Birth Death Processes with Polynomial Transition Rates
  • Flora Mulkey (2004) - A Stochastic Allee Model
  • Kunthel By (2004) - Introduction to the Foundations of the Boot Strap Method