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Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees [[electronic resource] ] : Applications to Non-Archimedean Diophantine Approximation / / by Anne Broise-Alamichel, Jouni Parkkonen, Frédéric Paulin
| Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees [[electronic resource] ] : Applications to Non-Archimedean Diophantine Approximation / / by Anne Broise-Alamichel, Jouni Parkkonen, Frédéric Paulin |
| Autore | Broise-Alamichel Anne |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019 |
| Descrizione fisica | 1 online resource (viii, 413 pages) : illustrations |
| Disciplina | 516.362 |
| Collana | Progress in Mathematics |
| Soggetto topico |
Dynamics
Ergodic theory Differential geometry Group theory Number theory Convex geometry Discrete geometry Probabilities Dynamical Systems and Ergodic Theory Differential Geometry Group Theory and Generalizations Number Theory Convex and Discrete Geometry Probability Theory and Stochastic Processes |
| ISBN | 3-030-18315-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Negatively curved geometry -- Potentials, critical exponents and Gibbs cocycles -- Patterson-Sullivan and Bowen-Margulis measures with potential on CAT(-1) spaces -- Symbolic dynamics of geodesic flows on trees -- Random walks on weighted graphs of groups -- Skinning measures with potential on CAT(-1) spaces -- Explicit measure computations for simplicial trees and graphs of groups -- Rate of mixing for the geodesic flow -- Equidistribution of equidistant level sets to Gibbs measures -- Equidistribution of common perpendicular arcs -- Equidistribution and counting of common perpendiculars in quotient spaces -- Geometric applications -- Fields with discrete valuations -- Bruhat-Tits trees and modular groups -- Rational point equidistribution and counting in completed function fields -- Equidistribution and counting of quadratic irrational points in non-Archimedean local fields -- Counting and equidistribution of crossratios -- Counting and equidistribution of integral representations by quadratic norm forms -- A - A weak Gibbs measure is the unique equilibrium, by J. Buzzi -- List of Symbols -- Index -- Bibliography. |
| Record Nr. | UNINA-9910364957603321 |
Broise-Alamichel Anne
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees : Applications to Non-Archimedean Diophantine Approximation / Anne Broise-Alamichel, Jouni Parkkonen, Frédéric Paulin ; appendix by Jérôme Buzzi
| Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees : Applications to Non-Archimedean Diophantine Approximation / Anne Broise-Alamichel, Jouni Parkkonen, Frédéric Paulin ; appendix by Jérôme Buzzi |
| Autore | Broise-Alamichel, Anne |
| Pubbl/distr/stampa | Cham, : Birkhauser, 2019 |
| Descrizione fisica | viii, 413 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Parkkonen, Jouni
Paulin, Frédéric |
| Soggetto topico |
11Rxx - Algebraic number theory: global fields [MSC 2020]
11E25 - Sums of squares and representations by other particular quadratic forms [MSC 2020] 60J10 - Markov chains (discrete-time Markov processes on discrete state spaces) [MSC 2020] 37Dxx - Dynamical systems with hyperbolic behavior [MSC 2020] 20E08 - Groups acting on trees [MSC 2020] 53C22 - Geodesics in global differential geometry [MSC 2020] 37B10 - Symbolic dynamics [MSC 2020] 37A25 - Ergodicity, mixing, rates of mixing [MSC 2020] |
| Soggetto non controllato |
Common perpendicular
Equidistribution Equilibrium State Geodesic flow Gibbs Measure Negative curvature Orbit counting Ortholength spectrum Skinning measure |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0126863 |
|
Broise-Alamichel, Anne
|
||
| Cham, : Birkhauser, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees : Applications to Non-Archimedean Diophantine Approximation / Anne Broise-Alamichel, Jouni Parkkonen, Frédéric Paulin ; appendix by Jérôme Buzzi
| Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees : Applications to Non-Archimedean Diophantine Approximation / Anne Broise-Alamichel, Jouni Parkkonen, Frédéric Paulin ; appendix by Jérôme Buzzi |
| Autore | Broise-Alamichel, Anne |
| Edizione | [Cham : Birkhauser, 2019] |
| Pubbl/distr/stampa | viii, 413 p., : ill. ; 24 cm |
| Descrizione fisica | Pubblicazione in formato elettronico |
| Altri autori (Persone) |
Parkkonen, Jouni
Paulin, Frédéric |
| Soggetto topico |
11Rxx - Algebraic number theory: global fields [MSC 2020]
11E25 - Sums of squares and representations by other particular quadratic forms [MSC 2020] 60J10 - Markov chains (discrete-time Markov processes on discrete state spaces) [MSC 2020] 37Dxx - Dynamical systems with hyperbolic behavior [MSC 2020] 20E08 - Groups acting on trees [MSC 2020] 53C22 - Geodesics in global differential geometry [MSC 2020] 37B10 - Symbolic dynamics [MSC 2020] 37A25 - Ergodicity, mixing, rates of mixing [MSC 2020] |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0126863 |
|
Broise-Alamichel, Anne
|
||
| viii, 413 p., : ill. ; 24 cm | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||