Geometric Analysis on the Heisenberg Group and Its Generalizations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Analysis on the Heisenberg Group and Its Generalizations write by Ovidiu Calin. This book was released on 2008-06-30. Geometric Analysis on the Heisenberg Group and Its Generalizations available in PDF, EPUB and Kindle.
Geometric Analysis on the Heisenberg Group and Its Generalizations
Geometric Analysis on the Heisenberg Group and Its Generalizations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Analysis on the Heisenberg Group and Its Generalizations write by Ovidiu Calin. This book was released on 2007. Geometric Analysis on the Heisenberg Group and Its Generalizations available in PDF, EPUB and Kindle. 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.
Stochastic Geometric Analysis With Applications
Stochastic Geometric Analysis With Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Geometric Analysis With Applications write by Ovidiu Calin. This book was released on 2023-11-21. Stochastic Geometric Analysis With Applications available in PDF, EPUB and Kindle. 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.
Heat Kernel and Analysis on Manifolds
Heat Kernel and Analysis on Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Heat Kernel and Analysis on Manifolds write by Alexander Grigoryan. This book was released on 2009. Heat Kernel and Analysis on Manifolds available in PDF, EPUB and Kindle. "This volume contains the expanded lecture notes of courses taught at the Emile Borel Centre of the Henri Poincaré Institute (Paris). In the book, leading experts introduce recent research in their fields. The unifying theme is the study of heat kernels in various situations using related geometric and analytic tools. Topics include analysis of complex-coefficient elliptic operators, diffusions on fractals and on infinite-dimensional groups, heat kernel and isoperimetry on Riemannian manifolds, heat kernels and infinite dimensional analysis, diffusions and Sobolev-type spaces on metric spaces, quasi-regular mappings and p -Laplace operators, heat kernel and spherical inversion on SL 2 (C) , random walks and spectral geometry on crystal lattices, isoperimetric and isocapacitary inequalities, and generating function techniques for random walks on graphs."--Publisher's website.
Heat Kernels for Elliptic and Sub-elliptic Operators
Heat Kernels for Elliptic and Sub-elliptic Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Heat Kernels for Elliptic and Sub-elliptic Operators write by Ovidiu Calin. This book was released on 2010-10-10. Heat Kernels for Elliptic and Sub-elliptic Operators available in PDF, EPUB and Kindle. This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators. These kernels are important in the theory of parabolic operators because they describe the distribution of heat on a given manifold as well as evolution phenomena and diffusion processes. Heat Kernels for Elliptic and Sub-elliptic Operators is an ideal reference for graduate students, researchers in pure and applied mathematics, and theoretical physicists interested in understanding different ways of approaching evolution operators.
