Current Appointments & Affiliations
James B. Duke Distinguished Professor Emeritus of Mathematics
·
2023 - Present
Mathematics,
Trinity College of Arts & Sciences
Professor Emeritus of Mathematics
·
2023 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
A stochastic spatial model for the sterile insect control strategy
Journal Article Stochastic Processes and their Applications · March 1, 2023 In the system we study, 1’s and 0’s represent occupied and vacant sites in the contact process with births at rate λ and deaths at rate 1. −1’s are sterile individuals that do not reproduce but appear spontaneously on vacant sites at rate α and die at rate ... Full text CiteCorrigendum to: The contact process on periodic trees (Electronic Communications in Probability)
Journal Article Electronic Communications in Probability · January 1, 2023 In [1] we considered periodic trees in which the number of children in successive generations is (n, a1, …, ak ) with maxi ai ≤ Cn1−δ and (log ai)/ log n → bi as n → ∞. Our proof ... Full text CiteCompetitive exclusion in a model with seasonality: Three species cannot coexist in an ecosystem with two seasons.
Journal Article Theoretical population biology · December 2022 Chan, Durrett, and Lanchier introduced a multitype contact process with temporal heterogeneity involving two species competing for space on the d-dimensional integer lattice. Time is divided into two seasons. They proved that there is an open set of the pa ... Full text CiteRecent Grants
Four Challenging Probability Problems
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2022 - 2025Support for Southeastern Probability Conference
ConferencePrincipal Investigator · Awarded by National Science Foundation · 2020 - 2024Voters, games, and epidemics on random graphs
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2018 - 2023View All Grants
Education, Training & Certifications
Stanford University ·
1976
Ph.D.