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Recent developments in fractal geometry and dynamical systems : AMS Special Session Fractal Geometry and Dynamical Systems, May 14-15, 2022, virtual / Sangita Jha, Mrinal Kanti Roychowdhury, Saurabh Verma, editors
HerausgeberJha, Sangita ; Roychowdhury, Mrinal Kanti ; Verma, Saurabh
Name der KonferenzAMS Special Session Fractal Geometry and Dynamical Systems 2022 Online
ErschienenProvidence, Rhode Island : American Mathematical Society, [2024], © 2024
Umfangx, 257 Seiten ; 26 cm : Illustrationen, Diagramme
Serie
Contemporary mathematics ; 797
SchlagwörterFractals / Dynamics / Measure and integration -- Classical measure theory -- Spaces of measures, convergence of measures / Measure and integration -- Classical measure theory -- Integration and disintegration of measures / Measure and integration -- Classical measure theory -- Fractals / Partial differential equations -- Qualitative properties of solutions -- Attractors / Dynamical systems and ergodic theory -- Ergodic theory -- Relations with number theory and harmonic analysis / Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Hyperbolic orbits and sets / Dynamical systems and ergodic theory -- Complex dynamical systems -- Polynomials; rational maps; entire and meromorphic functions / Dynamical systems and ergodic theory -- Complex dynamical systems -- Combinatorics and topology
URLzbMATH
ISBN9781470472160
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Archiv METS (OAI-PMH)
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Zusammenfassung
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.