Dr. Peter Burton
Postdoctoral research associate
Department of Mathematics
Iowa State University
My research interests are centered on ergodic theory and its connections with other areas of mathematics, in particular group theory and quantum information theory. Please see below for more information about my work, and feel free to reach out to me at pburton@iastate.edu
I am organizing the logic and computability seminar at Iowa State during Spring 2023 - see here for the calendar.
Published articles
Bowen, L., Burton, P. - Locally compact sofic groups
Isr. J. Math. 251, 239–270 (2023)
Burton, P., Juschenko, K. - The extension problem in free harmonic analysis
Ann. Funct. Anal. 13, 43 (2022)
Burton, P. - Statistical constructions in quantum information theory
Quantum Stud.: Math. Found. 9, 265–285 (2022)
Bowen, L., Burton, P. - Flexible stability and nonsoficity
Trans. Amer. Math. Soc. 373, 4469-448 (2020)
Bowen, L., Burton, P. - Failure of the L^1 pointwise ergodic theorem for PSL(2,R)
Geom. Dedicata. 207, 61–80 (2020)
Burton, P., Kechris, A. - Weak containment of measure-preserving group actions
Ergod. Th. & Dynam. Sys. 40, 2681–2733 (2020)
Austin, T., Burton, P. - Uniform mixing and completely positive sofic entropy
J. d'Analyse Math. 38, 597–612 (2019)
Burton, P. - Topology and convexity in the space of actions modulo weak equivalence
Ergod. Th. & Dynam. Sys. 38, 2508–2536 (2018)
Burton, P., Kechris, A. - Invariant random subgroups and action versus representation maximality
Proc. Amer. Math. Soc. 145, 3961-3971 (2017)
Burton, P. - Naive entropy of dynamical systems
Isr. J. Math. 219, 637–659 (2017)
Burton, P., Tall, F.D. - Productive Lindelöfness and a class of spaces considered by Z. Frolík
Topology Appl. 159, 3097-3102 (2012)
Preprints
Burton, P., Chaudkhari, M., Juschenko, K., Muliarchyk, K. - Hyperlinear approximations to amenable groups come from sofic approximations
Burton, P. - Synergodic actions of product groups