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Record Nr. |
UNINA9910972376703321 |
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Autore |
Gignac William |
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Titolo |
Local Dynamics of Non-Invertible Maps near Normal Surface Singularities |
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Pubbl/distr/stampa |
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Providence : , : American Mathematical Society, , 2021 |
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©2021 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (118 pages) |
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Collana |
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Memoirs of the American Mathematical Society ; ; v.272 |
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Classificazione |
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32S0532H5013A1837P5032S45 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Singularities (Mathematics) |
Holomorphic mappings |
Germs (Mathematics) |
Holomorphic functions |
Several complex variables and analytic spaces -- Singularities -- Local singularities |
Several complex variables and analytic spaces -- Holomorphic mappings and correspondences -- Iteration problems |
Commutative algebra -- General commutative ring theory -- Valuations and their generalizations |
Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Dynamical systems on Berkovich spaces |
Several complex variables and analytic spaces -- Singularities -- Modifications; resolution of singularities |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Normal surface singularities, resolutions, and intersection theory -- Normal surface singularities and their valuation spaces -- Log discrepancy, essential skeleta, and special singularities -- Dynamics on valuation spaces -- Dynamics of non-finite germs -- Dynamics of non-invertible finite germs -- Algebraic stability -- Attraction rates -- Examples and remarks. |
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Sommario/riassunto |
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"We study the problem of finding algebraically stable models for non- |
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invertible holomorphic fixed point germs f : (X, x0) (X, x0), where X is a complex surface having x0 as a normal singularity. We prove that as long as x0 is not a cusp singularity of X, then it is possible to find arbitrarily high modifications : X (X, x0) such that the dynamics of f (or more precisely of f N for N big enough) on X is algebraically stable. This result is proved by understanding the dynamics induced by f on a space of valuations associated to X; in fact, we are able to give a strong classification of all the possible dynamical behaviors of f on this valuation space. We also deduce a precise description of the behavior of the sequence of attraction rates for the iterates of f . Finally, we prove that in this setting the first dynamical degree is always a quadratic integer"-- |
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2. |
Record Nr. |
UNINA9911020439403321 |
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Autore |
Weiss Kenneth M |
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Titolo |
Genetics and the logic of evolution |
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Pubbl/distr/stampa |
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[Place of publication not identified], : Wiley Liss, 2004 |
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ISBN |
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1-280-55663-3 |
9786610556632 |
0-471-53266-5 |
0-471-53265-7 |
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Edizione |
[Reissue] |
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Descrizione fisica |
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1 online resource (538 pages) |
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Disciplina |
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Soggetti |
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Evolution, Molecular |
Genes |
Logic |
Evolution |
Biology |
Health & Biological Sciences |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Sommario/riassunto |
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In this book the authors draw on what is known, largely from recent research, about the nature of genes and cells, the genetics of development and animal and plant body plans, intra-- and interorganismal communication, sensation and perception, to propose that a few basic generalizations, along with the modified application of the classical evolutionary theory, can provide a broader theoretical understanding of genes, evolution, and the diverse and complex nature of living organisms. |
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