Topological Complexity of Smooth Random Functions École d'Été de Probabilités de Saint-Flour XXXIX-2009 /

• Κύριοι συγγραφείς: Adler, Robert J. (Συγγραφέας), Taylor, Jonathan E. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
• Σειρά: Lecture Notes in Mathematics, 2019
• Θέματα: Mathematics.; Geometry.; Statistics.; Statistical Theory and Methods.

These notes, based on lectures delivered in Saint Flour, provide an easy introduction to the authors’ 2007 Springer monograph “Random Fields and Geometry.” While not as exhaustive as the full monograph, they are also less exhausting, while still covering the basic material, typically at a more intui...

Πίνακας περιεχομένων:

• 1 Introduction
• 2 Gaussian Processes
• 3 Some Geometry and Some Topology
• 4 The Gaussian Kinematic Formula
• 5 On Applications: Topological Inference
• 6 Algebraic Topology of Excursion Sets: A New Challenge.