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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.
This book contains select contributions presented at the International Conference on Nonlinear Applied Analysis and Optimization (ICNAAO-2021), held at the Department of Mathematics Sciences, Indian Institute of Technology (BHU) Varanasi, India, from 21–23 December 2021. The book discusses topics in the areas of nonlinear analysis, fixed point theory, dynamical systems, optimization, fractals, applications to differential/integral equations, signal and image processing, and soft computing, and exposes the young talents with the newer dimensions in these areas with their practical approaches and to tackle the real-life problems in engineering, medical and social sciences. Scientists from the U.S.A., Austria, France, Mexico, Romania, and India have contributed their research. All the submissions are peer reviewed by experts in their fields.
The book contains papers by participants of the Chapel Hill Ergodic Theory Workshops organized in February 2004, 2005, and 2006. Topics covered by these papers illustrate the interaction between ergodic theory and related fields such as harmonic analysis, number theory, and probability theory.
This volume contains the proceedings of three conferences in Ergodic Theory and Symbolic Dynamics: the Oxtoby Centennial Conference, held from October 30–31, 2010, at Bryn Mawr College; the Williams Ergodic Theory Conference, held from July 27–29, 2012, at Williams College; and the AMS Special Session on Ergodic Theory and Symbolic Dynamics, held from January 17–18, 2014, in Baltimore, MD. This volume contains articles covering a variety of topics in measurable, symbolic and complex dynamics. It also includes a survey article on the life and work of John Oxtoby, providing a source of information about the many ways Oxtoby's work influenced mathematical thought in this and other fields.
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IN THIS ISSUE Editorial Messages Conference Announcements Plenary Lectures Miroslav Zelen , Characterizations of σ-Porosity Using Infinite Games Alica Miller, On Various Conditions that Imply Sensitivity of Monoid Actions Hajrudin Fejzic, "Divided Differences and Peano Derivatives" Luisa Di Piazza, "Integrals and Selections of Multifunctions with Values in an Arbitrary Banach Space" Research Articles Michael Dymond, Beata Randrianantoanina, Huaqiang Xu, "On Interval Based Generalizations of Absolute Continuity for Functions on Rn" Changhao Chen, "A Class of Random Cantor Sets" Silvestru S. Dragomir, "Variance Jensen Type Inequalities for General Lebesgue Integral with Applications" Carl P. Dettmann, Mrinal Kanti Roychowdhury, "Quantization for Uniform Distributions on Equilateral Triangles" Vassiliki Farmaki, Andreas Mitropoulos, "The l1-Dichotomy Theorem with Respect to a Coideal" Inroads J. Marshall Ash, Stefan Catoiu, "Directional Differentiability in the Euclidean Plane"