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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.
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.
Introduces innovative ergodic techniques to Diophantine approximation in non-Archimedean local fields
Gives numerous first published error terms in geometric counting and equidistribution problems
Bridges the gap between the equidistribution and counting results with potentials on negatively curved manifolds and the ones without potential on trees
Erscheinungsjahr: | 2020 |
---|---|
Fachbereich: | Analysis |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Seiten: | 424 |
Reihe: | Progress in Mathematics |
Inhalt: |
viii
413 S. 44 s/w Illustr. 14 farbige Illustr. 413 p. 58 illus. 14 illus. in color. |
ISBN-13: | 9783030183141 |
ISBN-10: | 3030183149 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: |
Broise-Alamichel, Anne
Paulin, Frédéric Parkkonen, Jouni |
Auflage: | 1st ed. 2019 |
Hersteller: |
Springer International Publishing
Progress in Mathematics |
Maße: | 241 x 160 x 29 mm |
Von/Mit: | Anne Broise-Alamichel (u. a.) |
Erscheinungsdatum: | 02.01.2020 |
Gewicht: | 0,799 kg |
Introduces innovative ergodic techniques to Diophantine approximation in non-Archimedean local fields
Gives numerous first published error terms in geometric counting and equidistribution problems
Bridges the gap between the equidistribution and counting results with potentials on negatively curved manifolds and the ones without potential on trees
Erscheinungsjahr: | 2020 |
---|---|
Fachbereich: | Analysis |
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Seiten: | 424 |
Reihe: | Progress in Mathematics |
Inhalt: |
viii
413 S. 44 s/w Illustr. 14 farbige Illustr. 413 p. 58 illus. 14 illus. in color. |
ISBN-13: | 9783030183141 |
ISBN-10: | 3030183149 |
Sprache: | Englisch |
Ausstattung / Beilage: | HC runder Rücken kaschiert |
Einband: | Gebunden |
Autor: |
Broise-Alamichel, Anne
Paulin, Frédéric Parkkonen, Jouni |
Auflage: | 1st ed. 2019 |
Hersteller: |
Springer International Publishing
Progress in Mathematics |
Maße: | 241 x 160 x 29 mm |
Von/Mit: | Anne Broise-Alamichel (u. a.) |
Erscheinungsdatum: | 02.01.2020 |
Gewicht: | 0,799 kg |