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Author : Ovidiu Calin
Release : 2008-06-30
Genre : Mathematics
Kind : eBook
Book Rating : 884/5 ( reviews)
Book Synopsis Geometric Analysis on the Heisenberg Group and Its Generalizations by : Ovidiu Calin
Download or read book Geometric Analysis on the Heisenberg Group and Its Generalizations written by Ovidiu Calin. This book was released on 2008-06-30. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ovidiu Calin
Release : 2007
Genre : Geometry, Riemannian
Kind : eBook
Book Rating : 296/5 ( reviews)
Book Synopsis Geometric Analysis on the Heisenberg Group and Its Generalizations by : Ovidiu Calin
Download or read book Geometric Analysis on the Heisenberg Group and Its Generalizations written by Ovidiu Calin. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: The theory of subRiemannian manifolds is closely related to Hamiltonian mechanics. In this book, the authors examine the properties and applications of subRiemannian manifolds that automatically satisfy the Heisenberg principle, which may be useful in quantum mechanics. In particular, the behavior of geodesics in this setting plays an important role in finding heat kernels and propagators for Schrödinger's equation. One of the novelties of this book is the introduction of techniques from complex Hamiltonian mechanics.
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Release :
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Kind : eBook
Book Rating : 412/5 ( reviews)
Book Synopsis Geometric Analysis on the Heisenberg Group and Its Generalizations by :
Download or read book Geometric Analysis on the Heisenberg Group and Its Generalizations written by . This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ernst Binz
Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 954/5 ( reviews)
Book Synopsis The Geometry of Heisenberg Groups by : Ernst Binz
Download or read book The Geometry of Heisenberg Groups written by Ernst Binz. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: "The three-dimensional Heisenberg group, being a quite simple non-commutative Lie group, appears prominently in various applications of mathematics. The goal of this book is to present basic geometric and algebraic properties of the Heisenberg group and its relation to other important mathematical structures (the skew field of quaternions, symplectic structures, and representations) and to describe some of its applications. In particular, the authors address such subjects as signal analysis and processing, geometric optics, and quantization. In each case, the authors present necessary details of the applied topic being considered." "This book manages to encompass a large variety of topics being easily accessible in its fundamentals. It can be useful to students and researchers working in mathematics and in applied mathematics."--BOOK JACKET.
Author : Ovidiu Calin
Release : 2023-11-21
Genre : Mathematics
Kind : eBook
Book Rating : 29X/5 ( reviews)
Book Synopsis Stochastic Geometric Analysis With Applications by : Ovidiu Calin
Download or read book Stochastic Geometric Analysis With Applications written by Ovidiu Calin. This book was released on 2023-11-21. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive exploration of the interplay between Stochastic Analysis, Geometry, and Partial Differential Equations (PDEs). It aims to investigate the influence of geometry on diffusions induced by underlying structures, such as Riemannian or sub-Riemannian geometries, and examine the implications for solving problems in PDEs, mathematical finance, and related fields. The book aims to unify the relationships between PDEs, nonholonomic geometry, and stochastic processes, focusing on a specific condition shared by these areas known as the bracket-generating condition or Hörmander's condition. The main objectives of the book are:The intended audience for this book includes researchers and practitioners in mathematics, physics, and engineering, who are interested in stochastic techniques applied to geometry and PDEs, as well as their applications in mathematical finance and electrical circuits.
