Burt Simon - Associate Professor of Mathematics

Department of Mathematics
University of Colorado at Denver
P.O. Box 173364, Campus Box 170
Denver, CO 80217-3364
Phone: (303) 315-1710

I am an applied probabilist with special interests in mathematical modeling, simulation, game theory, queueing theory.
Lately I have been working on problems in the theory and modeling of evolutionary processes.

My current research interests include

• Evolutionary population dynamics
• The evolution of cooperation/altruism, group selection, multi-level selection, cultural evolution
• Game theory
• Variance reduction in Monte-Carlo and discrete event simulations
• Mathematical models of wireless communication systems, and other queueing models

Some Recent Publications

Fall 2022 Course Web Pages

• MATH 5310 Probability

• MATH 4792/5792 Probabilistic Modeling

Here are the slides for the talk on Group Selection I gave at the JMM 2020 meeting in Denver.

Supporting material for Group-Level Events are "Catalysts" in the Evolution of Cooperation

• Supplimentary Information for the paper.
• Numerical routine, synergy.m Matlab code that solves equation (1) in the paper.
• Visualization software Create numerical animations from numerical solutions.
• Sample animation Animation for Figure 2 (top row) no group-level events; r = 0.30, rho = 0.0
• Sample animation Animation for Figure 2 (bottom row) baseline level of group-level events; r = 0.30, rho = 1.0
• Sample animation Baseline model with r = 0.20, Rho = 0.50
• Sample animation Baseline model with r = 0.20, Rho = 1.00
• Sample animation Baseline model with r = 0.20, Rho = 1.50