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.
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
$\mathbb{S}^2$
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.
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