Mathematical Surveys and Monographs
Volume: 279; 2024; 187 pp
MSC: Primary 11; 14; 20;
The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. It connects number theory, representation theory and arithmetic geometry, and other fields in a profound way. There are nevertheless very few expository accounts beyond the GL(2) case. This book features expository accounts of several topics on automorphic forms on higher rank groups, including rationality questions on unitary group, theta lifts and their applications to Arthur's conjectures, quaternionic modular forms, and automorphic forms over functions fields and their applications to inverse Galois problems. It is based on the lecture notes prepared for the twenty-fifth Arizona Winter School on “Automorphic Forms beyond GL(2)”, held March 5?9, 2022, at the University of Arizona in Tucson. The speakers were Ellen Eischen, Wee Teck Gan, Aaron Pollack, and Zhiwei Yun.
The exposition of the book is in a style accessible to students entering the field. Advanced graduate students as well as researchers will find this a valuable introduction to various important and very active research areas.
Graduate students and researchers interested in automorphic forms on reductive groups other than GL2
E. E. Eischen ? Automorphic forms on unitary groups
Wee Teck Gan ? Automorphic forms and the theta correspondence
Aaron Pollack ? Modular forms on exceptional groups
Zhiwei Yun ? Rigidity method for automorphic forms over function fields
Softcover ISBN: 978-1-4704-7570-3
Product Code: PSPUM/106
Expected availability date: May 05, 2024
Proceedings of Symposia in Pure Mathematics
Volume: 106; 2024; 346 pp
MSC: Primary 43; 46; 47;
This book provides a comprehensive presentation of recent approaches to and results about properties of various classes of functional spaces, such as Banach spaces, uniformly convex spaces, function spaces, and Banach algebras. Each of the 12 articles in this book gives a broad overview of current subjects and presents open problems. Each article includes an extensive bibliography.
This book is dedicated to Professor Per. H. Enflo, who made significant contributions to functional analysis and operator theory.
Graduate students and researchers interested in functional analysis and operator theory.
Gilles Godefroy, Mohammad Sal Moslehian and Juan Benigno Seoane-Sepulveda ? A Few Lines on Per Enflo’s Works
Fernando Albiac and Jose L. Ansorena ? On the Quasi-greedy Basic Sequence Problem
Alexander Brudnyi ? On Properties of Geometric Preduals of Classical Smoothness Spaces
Yun Sung Choi, Sun Kwang Kim and Han Ju Lee ? On Norm-attaining Mappings on Banach Spaces
Ben de Pagter and Werner J. Ricker ? Translation Invariant Banach Function Spaces and Fourier Multiplier Operators
Stephen J. Dilworth, Denka Kutzarova and Mikhail I. Ostrovskii ? Cycle Spaces: Invariant Projections and Applications to Transportation Cost
Francisco Javier Garcia-Pacheco ? The Finest Locally Convex Module Topology
Jinghao Huang and Fedor Sukochev ? Derivations with Values into Bimodules of τ
-measurable Operators
Tuomas Hytonen ? Singular Integrals in Uniformly Convex Spaces
Vicente Montesinos and Vaclav Zizler ? Some Easily Formulated Open Problems in Banach Space Theory
Gustavo A. Munoz-Fernandez, Sara Ruiz and Juan B. Seoane-Sepulveda ? Geometry of Trinomials Revisited
Antonio M. Peralta ? Metric Invariants in Banach and Jordan?Banach Algebras
Softcover ISBN: 978-1-4704-7537-6
Product Code: STML/108
Expected availability date: May 22, 2024
Student Mathematical Library Volume: 108; 2024; 228 pp
MSC: Primary 37; 68;
This textbook offers a rigorous mathematical introduction to cellular automata (CA). Numerous colorful graphics illustrate the many intriguing phenomena, inviting undergraduates to step into the rich field of symbolic dynamics.
Beginning with a brief history, the first half of the book establishes the mathematical foundations of cellular automata. After recapping the essentials from advanced calculus, the chapters that follow introduce symbolic spaces, equicontinuity, and attractors. More advanced topics include the Garden of Eden theorem and Conway's Game of Life, and a chapter on stochastic CA showcases a model of virus spread. Exercises and labs end each chapter, covering a range of applications, both mathematical and physical.
Designed for undergraduates studying mathematics and related areas, the text provides ample opportunities for end-of-semester projects or further study. Computer use for the labs is largely optional, providing flexibility for different preferences and resources. Knowledge of advanced calculus and linear algebra is essential, while a course in real analysis would be ideal.
Undergraduate students interested in an accessible introduction to dynamical systems, e.g. Conway's Game of Life.
Introduction to symbolic dynamics and cellular automata
Properties of symbol spaces
Dynamics of CAs: Equicontinuity and attractors
Dynamics and classification of cellular automata
Surjectivity and the Garden of Eden theorem
Two-dimensional CAs and Conway’s Game of Life
Stochastic cellular automata
Further directions
Bibliography
Index
Softcover ISBN: 978-1-4704-7216-0
Product Code: CONM/797
Expected availability date: May 15, 2024
Contemporary Mathematics Volume: 797; 2024
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.
Graduate students and research mathematicians interested in fractals and their applications.
Mark Comerford, Anca R?dulescu, 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
Do?an Comez ? Recurrence properties of superadditive processes and universally good weights
Jane Hawkins and Lorelei Koss ? Toral band Fatou components for the Weierstrasse ?
function
Manuj Verma and Amit Priyadarshi ? Fractal functions using weak contraction theory in some function spaces and generalized α
-fractal functions
Mary Wilkerson ? Unmating of expanding Thurston maps with Julia sets S2
Softcover ISBN: 978-1-4704-7305-1
Product Code: CONM/798
Expected availability date: May 15, 2024
Contemporary Mathematics Volume: 798; 2024
MSC: Primary 11; 34; 37; 46;
This volume contains the proceedings of the AMS-EMS-SMF Special Session on Advances in Functional Analysis and Operator Theory, held July 18?22, 2022, at the Universite de Grenoble-Alpes, Grenoble, France.
The papers reflect the modern interplay between differential equations, functional analysis, operator algebras, and their applications from the dynamics to quantum groups to number theory. Among the topics discussed are the Sturm-Liouville and boundary value problems, axioms of quantum mechanics, C?
-algebras and symbolic dynamics, von Neumann algebras and low-dimensional topology, quantum permutation groups, the Jordan algebras, and the Kadison?Singer transforms.
Graduate students and research mathematicians interested in modern functional analysis and applications.
Nazim Kerimov and Yagub Aliyev ? Minimality conditions for Sturm-Liouville problems with a boundary condition depending affinely or quadratically on an eigenparameter
Anar Assanova, Carsten Trunk and Roza Uteshova ? On the solvability of boundary value problems for linear differential-algebraic equations with constant coefficients
Kevin Aguyar Brix ? Invertible and noninvertible symbolic dynamics and their C*-algebras
Volodymyr Derkach and Carsten Trunk ? PT
-symmetric couplings of dual pairs
Vladimir Dragovi? and Vasilisa Shramchenko ? Chebyshev dynamics on two and three intervals and isomonodromic deformations
Gabor Etesi ? The universal von Neumann algebra of smooth four-manifolds revisited
Amaury Freslon ? Advances in quantum permutation groups
Oleg Friedman and Alexander A. Katz ? A note on the quotient of a locally JC
-algebra by a closed Jordan ideal
Cristian Ivanescu and Dan Kucerovsky ? Villadsen Idempotents
Dan Kucerovsky ? A Remark on the Kadison-Singer Transform
Igor V. Nikolaev ? Shafarevich-Tate groups of abelian varieties