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Stochastic Areas, Horizontal Brownian Motions, and Hypoelliptic Heat Kernels

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Title: Stochastic Areas, Horizontal Brownian Motions, and Hypoelliptic Heat Kernels
Description: This book is a self-contained introduction to the theory of Brownian motions and heat kernels on matrix Lie groups and manifolds, with an emphasis on the study of area type functionals. It offers graduate students a systematic account of the subject and serves as a convenient resource and reference for more experienced mathematicians. The book emphasizes methods rather than results and takes the reader to the frontiers of current research, starting with carefully motivated examples and constructions. These aspects are supported by the inclusion of several bibliographic notes at the end of each chapter and appendices at the end of the book. This book can be used as a self-study guide for readers interested in the interplay between geometry and probability or as a textbook for a special topics course.
Authors: Fabrice Baudoin, Nizar Demni, Jing Wang
Resource Type: eBook.
Subjects: Brownian motion processes
Categories: MATHEMATICS / Mathematical Analysis, MATHEMATICS / Geometry / Differential
Database: eBook Collection (EBSCOhost)
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  Data: This book is a self-contained introduction to the theory of Brownian motions and heat kernels on matrix Lie groups and manifolds, with an emphasis on the study of area type functionals. It offers graduate students a systematic account of the subject and serves as a convenient resource and reference for more experienced mathematicians. The book emphasizes methods rather than results and takes the reader to the frontiers of current research, starting with carefully motivated examples and constructions. These aspects are supported by the inclusion of several bibliographic notes at the end of each chapter and appendices at the end of the book. This book can be used as a self-study guide for readers interested in the interplay between geometry and probability or as a textbook for a special topics course.
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RecordInfo BibRecord:
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      – Code: 519.233
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Brownian motion processes
        Type: general
    Titles:
      – TitleFull: Stochastic Areas, Horizontal Brownian Motions, and Hypoelliptic Heat Kernels
        Type: main
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          Name:
            NameFull: Fabrice Baudoin, Nizar Demni, Jing Wang
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2024
            – D: 11
              M: 07
              Type: profile
              Y: 2025
          Identifiers:
            – Type: isbn-print
              Value: 9783985470792
            – Type: isbn-electronic
              Value: 9783985475797
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              Value: 00037
          Titles:
            – TitleFull: Stochastic Areas, Horizontal Brownian Motions, and Hypoelliptic Heat Kernels
              Type: main
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