Diophantine Approximation Applications (32 results)

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Hardcover. Condition: Gut. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 11 DIO 9780125286503 Sprache: Engl…isch Gewicht in Gramm: 550.

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Published by Birkhäuser, 2020
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Published by Birkhäuser, 2021
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Published by Springer Nature Switzerland AG, 2020
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Couverture rigide. Condition: Satisfaisant. Springer Nature Switzerland AG collection , 2020. 1 volume relié(s) format In-8 assez bon coins et tranches écrasées sinon bon état.

Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees: Applications to Non-Archimedean Diophantine Approximation (Progress in Mathematics, 329, Band 329)
Paulin, Frédéric, Jouni Parkkonen and Anne Broise-Alamichel:
Language: English
Published by Birkhäuser, 2020
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hardcover. Condition: Sehr gut. 421 Seiten; 9783030183141.2 Gewicht in Gramm: 1.

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Published by Cambridge University Press, 2018
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Published by Cambridge University Press, 2018
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Published by Springer, 2020
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Published by Birkhäuser, 2020
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides a complete exposition of equidistribution and counting problems weighted by a potential function of common perpendicular geodesics in negatively curved manifolds and simplicial trees. Avoiding any compactness assumptions, the authors ex…tend the theory of Patterson-Sullivan, Bowen-Margulis and Oh-Shah (skinning) measures to CAT(-1) spaces with potentials. The work presents a proof for the equidistribution of equidistant hypersurfaces to Gibbs measures, and the equidistribution of common perpendicular arcs between, for instance, closed geodesics. Using tools from ergodic theory (including coding by topological Markov shifts, and an appendix by Buzzi that relates weak Gibbs measures and equilibrium states for them), the authors further prove the variational principle and rate of mixing for the geodesic flow on metric and simplicial trees-again without the need for any compactness or torsionfree assumptions.In a series of applications, using the Bruhat-Tits trees over non-Archimedean local fields, the authors subsequently prove further important results: the Mertens formula and the equidistribution of Farey fractions in function fields, the equidistribution of quadratic irrationals over function fields in their completions, and asymptotic counting results of the representations by quadratic norm forms.One of the book's main benefits is that the authors provide explicit error terms throughout. Given its scope, it will be of interest to graduate students and researchers in a wide range of fields, for instance ergodic theory, dynamical systems, geometric group theory, discrete subgroups of locally compact groups, and the arithmetic of function fields.

Language: English
Published by Cambridge University Press CUP, 2018
- Hardcover
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Language: English
Published by Birkhäuser, 2021
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Condition: New. 1st ed. 2019 edition NO-PA16APR2015-KAP.
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Published by Birkhäuser, 2021
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Taschenbuch. Condition: Neu. Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees | Applications to Non-Archimedean Diophantine Approximation | Anne Broise-Alamichel (u. a.) | Taschenbuch | Progress in Mathematics | viii | Englisch | 2021 | Birkhäuser | EAN 9783030183172 | Verantwortliche Person… für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Language: English
Published by Cambridge Univ Pr, 2018
- Hardcover
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Language: English
Published by Birkhäuser, 2020
- Hardcover
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Condition: gut. 2020. Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees: Applications to Non-Archimedean Diophantine Approximation (Progress in Mathematics, 329, Band 329) In deutscher Sprache. pages.

Language: English
Published by Springer, 2021
- Softcover
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides a complete exposition of equidistribution and counting problems weighted by a potential function of common perpendicular geodesics in negatively curved manifolds and simplicial trees. Avoiding any compactness assumptions, the aut…hors extend the theory of Patterson-Sullivan, Bowen-Margulis and Oh-Shah (skinning) measures to CAT(-1) spaces with potentials. The work presents a proof for the equidistribution of equidistant hypersurfaces to Gibbs measures, and the equidistribution of common perpendicular arcs between, for instance, closed geodesics. Using tools from ergodic theory (including coding by topological Markov shifts, and an appendix by Buzzi that relates weak Gibbs measures and equilibrium states for them), the authors further prove the variational principle and rate of mixing for the geodesic flow on metric and simplicial trees-again without the need for any compactness or torsionfree assumptions.In a series of applications, using the Bruhat-Tits trees over non-Archimedean local fields, the authors subsequently prove further important results: the Mertens formula and the equidistribution of Farey fractions in function fields, the equidistribution of quadratic irrationals over function fields in their completions, and asymptotic counting results of the representations by quadratic norm forms.One of the book's main benefits is that the authors provide explicit error terms throughout. Given its scope, it will be of interest to graduate students and researchers in a wide range of fields, for instance ergodic theory, dynamical systems, geometric group theory, discrete subgroups of locally compact groups, and the arithmetic of function fields.

Language: English
Published by Birkhauser, 2021
- Softcover
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Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees: Applications to Non-Archimedean Diophantine Approximation
Broise-Alamichel, Anne (Author)/ Parkkonen, Jouni (Author)/ Paulin, Frédéric (Author)
Language: English
Published by Birkhäuser, 2020
- Hardcover
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Language: English
Published by Cambridge University Press, 2018
- Hardcover
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Language: English
Published by Cambridge University Press, 2018
- Hardcover
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This introduction to the theory of Diophantine approximation pays special regard to Schmidt's subspace theorem and to its applications to Diophantine equations and related topics. The geometric viewpoint on Diophantine equations has been adopted throughou…t the book. It includes a number of results, some published here for the first time in book form, and some new, as well as classical material presented in an accessible way. Graduate students and experts alike will find the book's broad approach useful for their work, and will discover new techniques and open questions to guide their research. It contains concrete examples and many exercises (ranging from the relatively simple to the much more complex), making it ideal for self-study and enabling readers to quickly grasp the essential concepts.

Language: English
Published by Cambridge University Press, GB, 2018
- Hardcover
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Hardback. Condition: New. This introduction to the theory of Diophantine approximation pays special regard to Schmidt's subspace theorem and to its applications to Diophantine equations and related topics. The geometric viewpoint on Diophantine equations has been adopted throughout the book. It includes a number of results, some… published here for the first time in book form, and some new, as well as classical material presented in an accessible way. Graduate students and experts alike will find the book's broad approach useful for their work, and will discover new techniques and open questions to guide their research. It contains concrete examples and many exercises (ranging from the relatively simple to the much more complex), making it ideal for self-study and enabling readers to quickly grasp the essential concepts.

Language: English
Published by Cambridge University Press, 2018
- Hardcover
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Published by Cambridge University Press, 2018
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Language: English
Published by Springer, 2020
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Condition: New. Print on Demand pp. 413.

Language: English
Published by Cambridge University Press, Cambridge, 2018
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Hardcover. Condition: new. Hardcover. This introduction to the theory of Diophantine approximation pays special regard to Schmidt's subspace theorem and to its applications to Diophantine equations and related topics. The geometric viewpoint on Diophantine equations has been adopted throughout the book. It includes a number of r…esults, some published here for the first time in book form, and some new, as well as classical material presented in an accessible way. Graduate students and experts alike will find the book's broad approach useful for their work, and will discover new techniques and open questions to guide their research. It contains concrete examples and many exercises (ranging from the relatively simple to the much more complex), making it ideal for self-study and enabling readers to quickly grasp the essential concepts. This introduction to Diophantine approximation and Diophantine equations, with applications to related topics, pays special regard to Schmidt's subspace theorem. It contains a number of results, some never before published in book form, and some new. The authors introduce various techniques and open questions to guide future research. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Language: English
Published by Springer, 2020
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Published by Cambridge University Press, 2018
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This introduction to Diophantine approximation and Diophantine equations, with applications to related topics, pays special regard to Schmidt s subspace theorem. It contains a number of results, some never before publ…ished in book form, and some new. The au.

Language: English
Published by Birkhäuser, 2021
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Published by Cambridge University Press, 2018
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