Current Trends in Dynamical Systems, Fractal Geometry, and Their Applications (Contemporary Mathematics)

Articles in this volume are based on talks given at the special session ""Dynamical Systems: Statistical Properties, Spectral Theory, and Fractal Geometry"" at the AMS Sectional Meeting held at University of Texas at San Antonio on September 14-15, 2024. The authors discuss topics at the intersection of dynamical systems, ergodic theory, fractal geometry, operator theory, and symbolic dynamics.Key features include the introduction of relative topological pressure for nonautonomous systems, a novel dual-operator framework for analyzing diffusion equations with self-similar measures, and generalized fractal interpolation functions.Several articles offer new methods that extend classical theories to more intricate contexts. Readers will benefit from a wide range of fresh perspectives, including asymptotic complexity in billiards, ergodic Hilbert transform inequalities, symbolic zeta function poles, and new transformations in measurable dynamics.The unique blend of topological, combinatori