Author: William Gignac
Publisher:
ISBN: 9781470467531
Category : Germs (Mathematics)
Languages : en
Pages :

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Author: William Gignac
Publisher: American Mathematical Society
ISBN: 1470449587
Category : Mathematics
Languages : en
Pages : 100

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Author: Walter Neumann
Publisher: Springer Nature
ISBN: 3030618072
Category : Mathematics
Languages : en
Pages : 356

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Book Description
This book presents a broad overview of the important recent progress which led to the emergence of new ideas in Lipschitz geometry and singularities, and started to build bridges to several major areas of singularity theory. Providing all the necessary background in a series of introductory lectures, it also contains Pham and Teissier's previously unpublished pioneering work on the Lipschitz classification of germs of plane complex algebraic curves. While a real or complex algebraic variety is topologically locally conical, it is in general not metrically conical; there are parts of its link with non-trivial topology which shrink faster than linearly when approaching the special point. The essence of the Lipschitz geometry of singularities is captured by the problem of building classifications of the germs up to local bi-Lipschitz homeomorphism. The Lipschitz geometry of a singular space germ is then its equivalence class in this category. The book is aimed at graduate students and researchers from other fields of geometry who are interested in studying the multiple open questions offered by this new subject.

Author: Gert-Martin Greuel
Publisher: Springer
ISBN: 3319968270
Category : Mathematics
Languages : en
Pages : 604

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Book Description
This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.

Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 540

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Author:
Publisher:
ISBN:
Category : Airplanes
Languages : en
Pages : 666

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Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 628

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Author: Charles Favre
Publisher: Springer
ISBN: 354044646X
Category : Mathematics
Languages : en
Pages : 251

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This volume is devoted to a beautiful object, called the valuative tree and designed as a powerful tool for the study of singularities in two complex dimensions. Its intricate yet manageable structure can be analyzed by both algebraic and geometric means. Many types of singularities, including those of curves, ideals, and plurisubharmonic functions, can be encoded in terms of positive measures on the valuative tree. The construction of these measures uses a natural tree Laplace operator of independent interest.

Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 686

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Author: Karl-Fredrik Berggren
Publisher: World Scientific
ISBN: 9810247117
Category : Science
Languages : en
Pages : 286

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Book Description
Quantum chaos is becoming a very wide field that ranges from experiments to theoretical physics and purely mathematical issues. In view of this grand span, Nobel Symposium 116 focused on experiments and theory, and attempted to encourage interplay between them. There was emphasis on the interdisciplinary character of the subject, involving a broad range of subjects in physics, including condensed matter physics, nuclear physics, atomic physics and elementary particle physics. The physics involved in quantum chaos has much in common with acoustics, microwaves, optics, etc., and therefore the symposium also covered aspects of wave chaos in this broader sense. The program was structured according to the following areas: manifestations of classical chaos in quantum systems; transport phenomena; quantal spectra in terms of periodic orbits; semiclassical and random matrix approaches; quantum chaos in interacting systems; chaos and tunneling; wave-dynamic chaos. This important book constitutes the proceedings of the symposium.