This volume contains a collection of papers that focus on recent research in the broad field of special functions. The articles cover topics related to differential equations, dynamic systems, integrable systems, billiards, and random matrix theory...Daugiau...
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 in fractal theory, fractal geometry, dynamical systems, and the application o...Daugiau...
This book centers on normal families of holomorphic and meromorphic functions and also normal functions. The authors treat one complex variable, several complex variables, and infinitely many complex variables (i.e., Hilbert space).The theo...Daugiau...
Nicolas Bergeron, Pierre Charollois, Luis E. Garcia
Serija: CRM Monograph Series
(Išleidimo metai: 30-Nov-2023, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470474119)
Ce livre constitue un expose detaille de la serie de cours donnes en 2020 par le Prof. Nicolas Bergeron, titulaire de la Chaire Aisenstadt au CRM de Montreal. Lobjet de ce texte est une ample generalisation dune famille didentites classiques, not...Daugiau...
(Išleidimo metai: 04-May-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009215916)
The first of two volumes provides a comprehensive and self-contained introduction to a wide range of fundamental results from ergodic theory and geometric measure theory. Topics covered include: finite and infinite abstract ergodic theory, Youngs t...Daugiau...
(Išleidimo metai: 04-May-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009215978)
This text, the second of two volumes, provides a comprehensive and self-contained approach to the rich dynamics of elliptic functions on the complex plane, with an emphasis on ergodic aspects. The first monograph on the subject, it is an indispensabl...Daugiau...
This two-volume set provides a comprehensive and self-contained approach to the dynamics, ergodic theory, and geometry of elliptic functions mapping the complex plane onto the Riemann sphere. Volume I discusses many fundamental results from ergodic t...Daugiau...
Introduces complex analysis as a natural extension of the calculus of real-valued functions. The mechanism for doing so is the extension theorem, which states that any real analytic function extends to an analytic function defined in a region of the...Daugiau...
Bleher and Silva consider the normal matrix model with cubic plus linear potential, and in order to regularize the model, follow Elbau and Felder and introduce a cut-off. In the large size limit, they say, the eigenvalues of the model accumulate...Daugiau...
This volume draws together the proceedings of the 16th Carolina Dynamics Symposium, held in April 2018 in Decatur, Georgia. It consists of 12 papers on topics in dynamics and randomness, including complex dynamics, ergodic theory, topological dyn...Daugiau...
Examines matrix functions of bounded type from the viewpoint of describing an interplay between function theory and operator theory. The authors first establish a criterion on the coprime-ness of two singular inner functions and obtain several prope...Daugiau...
(Išleidimo metai: 01-Jul-2018, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821875544)
A monograph devoted to the study of the dynamics of expanding Thurston maps under iteration. A Thurston map is a branched covering map on a two-dimensional topological sphere such that each critical point of the map has a finite orbit under iteratio...Daugiau...
The 19 papers in this collection were presented at an August 2014 conference held at the University of Paderborn, Germany, and consider recent developments in various areas of non-Archimedean analysis. The topics include spectral theory for finite ra...Daugiau...
(Išleidimo metai: 30-Apr-2016, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470424084)
In this book, authors Bell, Ghioca, and Tucker present readers with an in-depth look at the dynamical Mordell-Lang conjecture, presenting all of its known results. The fifteen chapters that make up the main bulk of the text are focused on the back gr...Daugiau...
(Išleidimo metai: 01-Aug-2015, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470419936)
Ce livre est base sur un cours de deuxieme cycle donne en 2005-2006 par M. Paul Koosis, professeur emerite a luniversite McGill. Il traite de sujets soigneusement choisis par le professeur a lintention de ceux qui, plutot que de rechercher un cata...Daugiau...
This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geome...Daugiau...
The three conferences memorialized the passing of Mandelbrot, widely considered the founder of fractal geometry, and the 18 papers here are a selection from all of them. They discuss such topics as extreme risk and fractal regularity in finance, zeta...Daugiau...
The thermodynamical formalism has been developed by the authors for a very general class of transcendental meromorphic functions. This title offers an account of the thermodynamical formalism for a meromorphic function. It shows the existence of Gib...Daugiau...
(Išleidimo metai: 01-Aug-2008, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821842652)
The value distribution theory of meromorphic functions was developed in the late 19th and early 20th centuries, and now occupies a central place in complex analysis. Goldberg and Ostrovskii introduce it to students of mathematics who have completed a...Daugiau...
