Metric Measure Geometry
Gromov’s Theory of Convergence and Concentration of Metrics and Measures
Seiten
2016
EMS Press (Verlag)
978-3-03719-158-3 (ISBN)
EMS Press (Verlag)
978-3-03719-158-3 (ISBN)
- Titel z.Zt. nicht lieferbar
- Versandkostenfrei innerhalb Deutschlands
- Auch auf Rechnung
- Verfügbarkeit in der Filiale vor Ort prüfen
- Artikel merken
This book studies a new theory of metric geometry on metric measure spaces, originally developed by M. Gromov in his book “Metric Structures for Riemannian and Non-Riemannian Spaces” and based on the idea of the concentration of measure phenomenon due to Lévy and Milman. A central theme in this text is the study of the observable distance between metric measure spaces, defined by the difference between 1-Lipschitz functions on one space and those on the other. The topology on the set of metric measure spaces induced by the observable distance function is weaker than the measured Gromov–Hausdorff topology and allows to investigate a sequence of Riemannian manifolds with unbounded dimensions. One of the main parts of this presentation is the discussion of a natural compactification of the completion of the space of metric measure spaces. The stability of the curvature-dimension condition is also discussed.
This book makes advanced material accessible to researchers and graduate students interested in metric measure spaces.
This book makes advanced material accessible to researchers and graduate students interested in metric measure spaces.
Erscheinungsdatum | 07.01.2016 |
---|---|
Reihe/Serie | IRMA Lectures in Mathematics and Theoretical Physics ; 25 |
Sprache | englisch |
Maße | 170 x 240 mm |
Einbandart | gebunden |
Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
Schlagworte | concentration of measure phenomenon • convergence of space • curvature-dimension condition • Dissipation • Laplacian • metric measure space • observable distance • pyramid |
ISBN-10 | 3-03719-158-9 / 3037191589 |
ISBN-13 | 978-3-03719-158-3 / 9783037191583 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Gekrümmte Kurven und Flächen
Buch | Softcover (2024)
De Gruyter (Verlag)
49,95 €
Buch | Hardcover (2022)
Freies Geistesleben (Verlag)
24,00 €