Recent Developments in Fractal Geometry and Dynamical Systems
Published on 31. May 2024
Book
Paperback/Softback
254 pages
978-1-4704-7216-0 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
236 gr
ISBN-13
978-1-4704-7216-0 (9781470472160)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
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.
Mrinal Kanti Roychowdhury, University of Texas at Rio Grande Valley, Edinburg, TX.
Saurabh Verma, Indian Institute of Information Technology Allahabad, Prayagraj, India.
Content
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 $\mathbb{S}^2$
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 $\mathbb{S}^2$