Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Geometric Aspects of Functional Analysis: Israel Seminar (Gafa) 2017-2019 Volume II

Geometric Aspects of Functional Analysis: Israel Seminar (Gafa) 2017-2019 Volume II

Milman, Emanuel
Klartag, Bo'az

Paperback

Series: Lecture Notes in Mathematics, Book 2266

General MathematicsGeometryProbability & Statistics

ISBN10: 3030467619
ISBN13: 9783030467616
Publisher: Springer
Published: Jul 9 2020
Pages: 348
Weight: 1.12
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English
Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest examples of regularity and order in high dimensions. Central to the text is the study of the Poincaré and log-Sobolev functional inequalities, their reverses, and other inequalities, in which a crucial role is often played by convexity assumptions such as Log-Concavity. The concept and properties of Entropy form an important subject, with Bourgain's slicing problem and its variants drawing much attention. Constructions related to Convexity Theory are proposed and revisited, as well as inequalities that go beyond the Brunn-Minkowski theory. One of the major current research directions addressedis the identification of lower-dimensional structures with remarkable properties in rather arbitrary high-dimensional objects. In addition to functional analytic results, connections to Computer Science and to Differential Geometry are also discussed.

6 different editions

Also available

Also from

Klartag, Bo'az

View All

Also in

General Mathematics

View All