Non Hausdorff Topology And Domain Theory
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Non Hausdorff Topology And Domain Theory
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Author : Jean Goubault-Larrecq
language : en
Publisher:
Release Date : 2013
Non Hausdorff Topology And Domain Theory written by Jean Goubault-Larrecq and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Electronic books categories.
Non Hausdorff Topology And Domain Theory
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Author : Jean Goubault-Larrecq
language : en
Publisher: Cambridge University Press
Release Date : 2013-03-28
Non Hausdorff Topology And Domain Theory written by Jean Goubault-Larrecq and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-28 with Mathematics categories.
This unique book on modern topology looks well beyond traditional treatises and explores spaces that may, but need not, be Hausdorff. This is essential for domain theory, the cornerstone of semantics of computer languages, where the Scott topology is almost never Hausdorff. For the first time in a single volume, this book covers basic material on metric and topological spaces, advanced material on complete partial orders, Stone duality, stable compactness, quasi-metric spaces and much more. An early chapter on metric spaces serves as an invitation to the topic (continuity, limits, compactness, completeness) and forms a complete introductory course by itself. Graduate students and researchers alike will enjoy exploring this treasure trove of results. Full proofs are given, as well as motivating ideas, clear explanations, illuminating examples, application exercises and some more challenging problems for more advanced readers.
Non Hausdorff Topology And Domain Theory
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Author : Jean Goubault-Larrecq
language : en
Publisher: Cambridge University Press
Release Date : 2013-03-28
Non Hausdorff Topology And Domain Theory written by Jean Goubault-Larrecq and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-28 with Computers categories.
Introduces the basic concepts of topology with an emphasis on non-Hausdorff topology, which is crucial for theoretical computer science.
Generalizations Of Finite Metrics And Cuts
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Author : Michel-marie Deza
language : en
Publisher: World Scientific
Release Date : 2016-05-06
Generalizations Of Finite Metrics And Cuts written by Michel-marie Deza and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-06 with Mathematics categories.
This book introduces oriented version of metrics and cuts and their multidimensional analogues, as well as partial metrics and weighted metrics. It is a follow-up of Geometry of Cuts and Metrics by Deza and Laurent which presents rich theory of classical binary and symmetric objects — metrics and cuts.Many research publications on this subject are devoted to different special aspects of the theory of generalized metrics. However, they are disconnected one from other, often written in different mathematical language, consider the same objects from different points of view without analysis of possible connections, etc. In this book we will construct full theory of main classes of finite generalized metrics and their polyhedral aspects.
Meromorphic Dynamics
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Author : Janina Kotus
language : en
Publisher: Cambridge University Press
Release Date : 2023
Meromorphic Dynamics written by Janina Kotus and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Functions, Meromorphic categories.
"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, Young's towers, measure-theoretic Kolmogorov-Sinai entropy, thermodynamics formalism, geometric function theory, various kinds of conformal measures, conformal graph directed Markov systems and iterated functions systems, semi-local dynamics of analytic functions, and nice sets. Many examples are included, along with detailed explanations of essential concepts and full proofs, in what is sure to be an indispensable reference for both researchers and graduate students"--
Meromorphic Dynamics Volume 1
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Author : Janina Kotus
language : en
Publisher: Cambridge University Press
Release Date : 2023-05-04
Meromorphic Dynamics Volume 1 written by Janina Kotus and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-04 with Mathematics categories.
This text, 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, Young's towers, measure-theoretic Kolmogorov-Sinai entropy, thermodynamics formalism, geometric function theory, various kinds of conformal measures, conformal graph directed Markov systems and iterated functions systems, semi-local dynamics of analytic functions, and nice sets. Many examples are included, along with detailed explanations of essential concepts and full proofs, in what is sure to be an indispensable reference for both researchers and graduate students.
Meromorphic Dynamics Volume 2
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Author : Janina Kotus
language : en
Publisher: Cambridge University Press
Release Date : 2023-05-04
Meromorphic Dynamics Volume 2 written by Janina Kotus and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-04 with Mathematics categories.
This text, the second of two volumes, builds on the foundational material on ergodic theory and geometric measure theory provided in Volume I, and applies all the techniques discussed to describe the beautiful and rich dynamics of elliptic functions. The text begins with an introduction to topological dynamics of transcendental meromorphic functions, before progressing to elliptic functions, discussing at length their classical properties, measurable dynamics and fractal geometry. The authors then look in depth at compactly non-recurrent elliptic functions. Much of this material is appearing for the first time in book or paper form. Both senior and junior researchers working in ergodic theory and dynamical systems will appreciate what is sure to be an indispensable reference.
Hardy Martingales
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Author : Paul F. X. Müller
language : en
Publisher: Cambridge University Press
Release Date : 2022-07-14
Hardy Martingales written by Paul F. X. Müller and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-14 with Mathematics categories.
This book presents the probabilistic methods around Hardy martingales for an audience interested in their applications to complex, harmonic, and functional analysis. Building on work of Bourgain, Garling, Jones, Maurey, Pisier, and Varopoulos, it discusses in detail those martingale spaces that reflect characteristic qualities of complex analytic functions. Its particular themes are holomorphic random variables on Wiener space, and Hardy martingales on the infinite torus product, and numerous deep applications to the geometry and classification of complex Banach spaces, e.g., the SL∞ estimates for Doob's projection operator, the embedding of L1 into L1/H1, the isomorphic classification theorem for the polydisk algebras, or the real variables characterization of Banach spaces with the analytic Radon Nikodym property. Due to the inclusion of key background material on stochastic analysis and Banach space theory, it's suitable for a wide spectrum of researchers and graduate students working in classical and functional analysis.
Conformal Blocks Generalized Theta Functions And The Verlinde Formula
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Author : Shrawan Kumar
language : en
Publisher: Cambridge University Press
Release Date : 2021-11-25
Conformal Blocks Generalized Theta Functions And The Verlinde Formula written by Shrawan Kumar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-25 with Mathematics categories.
This book gives a complete proof of the Verlinde formula and of its connection to generalized theta functions.
Representations Of Solvable Lie Groups And Their Applications
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Author : Didier Arnal
language : en
Publisher: Cambridge University Press
Release Date : 2020-04-16
Representations Of Solvable Lie Groups And Their Applications written by Didier Arnal and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-16 with Mathematics categories.
A complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.