Metric Diffusion Along Foliations

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book Metric Diffusion Along Foliations by Szymon M. Walczak, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Szymon M. Walczak ISBN: 9783319575179
Publisher: Springer International Publishing Publication: May 16, 2017
Imprint: Springer Language: English
Author: Szymon M. Walczak
ISBN: 9783319575179
Publisher: Springer International Publishing
Publication: May 16, 2017
Imprint: Springer
Language: English

Up-to-date research in metric diffusion along compact foliations is presented in this book. Beginning with fundamentals from the optimal transportation theory and the theory of foliations; this book moves on to cover Wasserstein distance, Kantorovich Duality Theorem, and the metrization of the weak topology by the Wasserstein distance. Metric diffusion is defined, the topology of the metric space is studied and the limits of diffused metrics along compact foliations are discussed. Essentials on foliations, holonomy, heat diffusion, and compact foliations are detailed and vital technical lemmas are proved to aide understanding.

Graduate students and researchers in geometry, topology and dynamics of foliations and laminations will find this supplement useful as it presents facts about the metric diffusion along non-compact foliation and provides a full description of the limit for metrics diffused along foliation with at least one compact leaf on the two dimensions.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Up-to-date research in metric diffusion along compact foliations is presented in this book. Beginning with fundamentals from the optimal transportation theory and the theory of foliations; this book moves on to cover Wasserstein distance, Kantorovich Duality Theorem, and the metrization of the weak topology by the Wasserstein distance. Metric diffusion is defined, the topology of the metric space is studied and the limits of diffused metrics along compact foliations are discussed. Essentials on foliations, holonomy, heat diffusion, and compact foliations are detailed and vital technical lemmas are proved to aide understanding.

Graduate students and researchers in geometry, topology and dynamics of foliations and laminations will find this supplement useful as it presents facts about the metric diffusion along non-compact foliation and provides a full description of the limit for metrics diffused along foliation with at least one compact leaf on the two dimensions.

More books from Springer International Publishing

Cover of the book Archaeological Heritage in a Modern Urban Landscape by Szymon M. Walczak
Cover of the book The EU after Lisbon by Szymon M. Walczak
Cover of the book Integrated Evaluation for the Management of Contemporary Cities by Szymon M. Walczak
Cover of the book Power System Operations by Szymon M. Walczak
Cover of the book Random Walks on Disordered Media and their Scaling Limits by Szymon M. Walczak
Cover of the book Hypertension and Brain Damage by Szymon M. Walczak
Cover of the book Machine Learning and Knowledge Discovery in Databases by Szymon M. Walczak
Cover of the book Changing Paradigms in the Management of Breast Cancer by Szymon M. Walczak
Cover of the book Local Features in Natural Images via Singularity Theory by Szymon M. Walczak
Cover of the book Mobile, Secure, and Programmable Networking by Szymon M. Walczak
Cover of the book Map Framework by Szymon M. Walczak
Cover of the book Rheology and Non-Newtonian Fluids by Szymon M. Walczak
Cover of the book Novel Food Fermentation Technologies by Szymon M. Walczak
Cover of the book Cyber Security: Power and Technology by Szymon M. Walczak
Cover of the book Disorders of the Scapula and Their Role in Shoulder Injury by Szymon M. Walczak
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy