Past Talks

Title: Models of Population Dynamics

Title: A Mean-Field Approximation of the Bolker-Pacala Model

Abstract: We analyze the Bolker-Pacala population model from biology with a mean-field approximation, which produces a “logistic” Markov chain (LMC). For appropriate parameter settings, we show global convergence of the LMC to an Ornstein-Uhlenbeck process. We find the invariant distribution of the LMC in terms of the degenerated hypergeometric functions. We also analyze first passage times from the equilibrium point of the LMC. 

Title: Introduction to Compressive Sampling

Title: Limit Theorems and Phase Transitions For Sums of Random Variables with a Parameter

Title: The all-or-nothing theorem in multiple hypothesis testing

Title: The all-or-nothing theorem in multiple hypothesis testing (Part 2)

Title: The all-or-nothing theorem in multiple hypothesis testing (Part 3)

Title: Insertion – A new operation for Markov chains