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Recent Developments in Fractal Geometry and Dynamical Systems
 
Edited by: 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
Softcover ISBN:  978-1-4704-7216-0
Product Code:  CONM/797
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-7610-6
Product Code:  CONM/797.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-7216-0
eBook: ISBN:  978-1-4704-7610-6
Product Code:  CONM/797.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
Add to cart
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Recent Developments in Fractal Geometry and Dynamical Systems
Edited by: 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
Softcover ISBN:  978-1-4704-7216-0
Product Code:  CONM/797
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-7610-6
Product Code:  CONM/797.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-7216-0
eBook ISBN:  978-1-4704-7610-6
Product Code:  CONM/797.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 797; 2024; 257 pp
    MSC: Primary 28; 35; 37

    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.
    Readership

    Graduate students and research mathematicians interested in fractals and their applications.
  • Table of Contents
     
     
    • Articles
    • Mark Comerford, Anca Rǎdulescu 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, self-similar 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 G. Hale and John C. Mayer — Unicritical and maximally critical laminations
    • Subhash Chandra and Syed Abbas — On fractal dimension of the graph of nonstationary fractal interpolation function
    • Doğan Çömez — Recurrence properties of superadditive processes and universally good weights
    • Jane Hawkins and Lorelei Koss — Toral band Fatou components for the Weierstrass $\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 set $\mathbb {S}^2$
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 797; 2024; 257 pp
MSC: Primary 28; 35; 37

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.
Readership

Graduate students and research mathematicians interested in fractals and their applications.
  • Articles
  • Mark Comerford, Anca Rǎdulescu 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, self-similar 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 G. Hale and John C. Mayer — Unicritical and maximally critical laminations
  • Subhash Chandra and Syed Abbas — On fractal dimension of the graph of nonstationary fractal interpolation function
  • Doğan Çömez — Recurrence properties of superadditive processes and universally good weights
  • Jane Hawkins and Lorelei Koss — Toral band Fatou components for the Weierstrass $\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 set $\mathbb {S}^2$
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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