Skip Section Navigation

Dynamical Systems is the study of iteration of maps. The UNT Dynamical Systems Seminar covers a broad range of topics in dynamics that are of interest to current faculty and students, including, but not limited to, complex dynamics, symbolic dynamics, ergodic theory and fractal geometry, as well as connections of dynamics with classical analysis, probability, and number theory. Talks are given by faculty, graduate students and, from time to time, outside speakers.

Upcoming Events

  • 2024-11-15, 2:00 pm, GAB 461: Jiajie Zheng, UNT

    Schmidt's game, badly approximable numbers and numbers normal to no base

    In this talk, we will discuss some important properties of winning sets in view of Schmidt's game, and their applications to Diophantine approximations. The Banach-Mazur game was first introduced by Stanisław Mazur in the 1930s, and a set is of first category (as in Baire's Category Theorem) if and only if it is losing in the Banach-Mazur game. Schmidt’s game was first introduced by Wolfgang Schmidt, and it is a great tool for showing a set has full local Hausdorff dimension as long as it is winning in Schmidt's game. I plan to give a brief introduction to Schmidt's game, some examples of winning sets and its application to Diophantine approximations. However, I also want to talk about why "winning in Schimdt's game'' itself is a very interesting set-category property, in addition to its implication of full local Hausdorff dimensions. 

Recent Events

Date Speaker Title
2024-11-8 Nathan Dalaklis, UNT
 Random Interval Maps with Holes and Local Dimension Multifractals
2024-10-25 Jackson Morrow, UNT How can dynamical systems, equilibrium measures, and equidistribution results be applied to questions in arithmetic geometry?
2024-10-04 Daniel Prokaj, UNT Self-similar sets, dimension drop and Okamoto's function
2024-9-27 Bill Mance, Adam Mickiewicz University Independence of notions from dynamics: a descriptive set theoretic approach
2024-8-30 Pieter Allaart, UNT What does Okamoto's function have to do with beta-expansions?
2024-5-10 Anna Zdunik, University of Warsaw Hausdorff and packing measure for limit sets of conformal repellers and iterated function systems
2024-4-19 Nathan Dalaklis, UNT Extremal F-exponents of finitely irreducible CGDMS's
2023-11-3 Bunyamin Sari, UNT Coarse Embeddings into Banach spaces
2023-10-27 Johannes Jaerisch, Nagoya University Multifractal analysis of growth rates for the geodesic flow on hyperbolic surfaces
2023-10-20 Jiajie Zheng, UNT Twisted recurrence in measurable dynamical systems
2023-10-6 Mariusz Urbanski, UNT Ruelle's Operator and Conformal Measures with Applications in Fractal Geometry and Number Theory