This volume contains the proceedings of the virtual AMS Special Session on Fractal Geometry and Dynamical Systems, held from May 14-15, 2022. The content covers a wide range of topics. It includes nonautonomous dynamics of complex polynomials, theory and applications of polymorphisms, topological and geometric problems related to dynamical systems, and also covers fractal dimensions, including the Hausdorff dimension of fractal interpolation functions. Furthermore, the book contains a discussion of self-similar measures as well as the theory of IFS measures associated with Bratteli diagrams. This book is suitable for graduate students interested in fractal theory, researchers interested in fractal geometry and dynamical systems, and anyone interested in the application of fractals in science and engineering. This book also offers a valuable resource for researchers working on applications of fractals in different fields.
Sangita Jha, National Institute of Technology, Rourkela, India. Mrinal Kanti Roychowdhury, University of Texas at Rio Grande Valley, Edinburg, TX. Saurabh Verma, Indian Institute of Information Technology Allahabad, Prayagraj, India.
Mark Comerford, Anca Radulescu, and Kieran Cavanagh, Mandelbrot sets for fixed template iterations Karma Dajani, Wenxia Li, and Tingyu Zhang, Random beta-transformations on fat Sierpinski gaskets Palle E. T. Jorgensen and James F. Tian, Polymorphisms, their associated operator theory, selfsimilar fractals, and harmonic analysis Peter R. Massopust, Fractal interpolation over curves Nandor Simanyi, Conditional proof of the ergodic conjecture for falling ball systems Michael Burr and Christian Wolf, Computability in dynamical systems Ethan Berkove, Elene Karangozishvili, and Derek Smith, Geodesics in generalizations of the Sierpinski carpet Sergey Bezuglyi and Palle E. T. Jorgensen, IFS measures on generalized Bratteli diagrams Brittany E. Burdette, Caleb S. Falcione, Cameron Hale, and John C. Mayer, Unicritical and maximally critical laminations Subhash Chandra and Syed Abbas, On fractal dimension of the graph of non-stationary fractal interpolation function Dogan Comez, Recurrence properties of superadditive processes and universally good weights Jane Hawkins and Lorelei Koss, Toral band Fatou components for the Weierstrasse $\wp$ function Manuj Verma and Amit Priyadarshi, Fractal functions using weak contraction theory in some function spaces and generalized $\alpha$-fractal functions Mary Wilkerson, Unmating of expanding Thurston maps with Julia sets $\mathbb{S}^2$
