Heisenberg Calculus and Spectral Theory of Hypoelliptic Operators on Heisenberg 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 Heisenberg Calculus and Spectral Theory of Hypoelliptic Operators on Heisenberg Manifolds write by Raphael Ponge. This book was released on 2008. Heisenberg Calculus and Spectral Theory of Hypoelliptic Operators on Heisenberg Manifolds available in PDF, EPUB and Kindle. This memoir deals with the hypoelliptic calculus on Heisenberg manifolds, including CR and contact manifolds. In this context the main differential operators at stake include the Hormander's sum of squares, the Kohn Laplacian, the horizontal sublaplacian, the CR conformal operators of Gover-Graham and the contact Laplacian. These operators cannot be elliptic and the relevant pseudodifferential calculus to study them is provided by the Heisenberg calculus of Beals-Greiner andTaylor.
Principal Symbol Calculus on Contact Manifolds
Principal Symbol Calculus on Contact 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 Principal Symbol Calculus on Contact Manifolds write by Yuri Kordyukov. This book was released on . Principal Symbol Calculus on Contact Manifolds available in PDF, EPUB and Kindle.
Motives, Quantum Field Theory, and Pseudodifferential Operators
Motives, Quantum Field Theory, and Pseudodifferential 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 Motives, Quantum Field Theory, and Pseudodifferential Operators write by Alan L. Carey. This book was released on 2010. Motives, Quantum Field Theory, and Pseudodifferential Operators available in PDF, EPUB and Kindle. This volume contains articles related to the conference ``Motives, Quantum Field Theory, and Pseudodifferntial Operators'' held at Boston University in June 2008, with partial support from the Clay Mathematics Institute, Boston University, and the National Science Foundation. There are deep but only partially understood connections between the three conference fields, so this book is intended both to explain the known connections and to offer directions for further research. In keeping with the organization of the conference, this book contains introductory lectures on each of the conference themes and research articles on current topics in these fields. The introductory lectures are suitable for graduate students and new Ph.D.'s in both mathematics and theoretical physics, as well as for senior researchers, since few mathematicians are expert in any two of the conference areas. Among the topics discussed in the introductory lectures are the appearance of multiple zeta values both as periods of motives and in Feynman integral calculations in perturbative QFT, the use of Hopf algebra techniques for renormalization in QFT, and regularized traces of pseudodifferential operators. The motivic interpretation of multiple zeta values points to a fundamental link between motives and QFT, and there are strong parallels between regularized traces and Feynman integral techniques. The research articles cover a range of topics in areas related to the conference themes, including geometric, Hopf algebraic, analytic, motivic and computational aspects of quantum field theory and mirror symmetry. There is no unifying theory of the conference areas at present, so the research articles present the current state of the art pointing towards such a unification.
Twisted Pseudodifferential Calculus and Application to the Quantum Evolution of Molecules
Twisted Pseudodifferential Calculus and Application to the Quantum Evolution of Molecules - 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 Twisted Pseudodifferential Calculus and Application to the Quantum Evolution of Molecules write by Andr Martinez. This book was released on 2009-06-05. Twisted Pseudodifferential Calculus and Application to the Quantum Evolution of Molecules available in PDF, EPUB and Kindle. The authors construct an abstract pseudodifferential calculus with operator-valued symbol, suitable for the treatment of Coulomb-type interactions, and they apply it to the study of the quantum evolution of molecules in the Born-Oppenheimer approximation, in the case of the electronic Hamiltonian admitting a local gap in its spectrum. In particular, they show that the molecular evolution can be reduced to the one of a system of smooth semiclassical operators, the symbol of which can be computed explicitely. In addition, they study the propagation of certain wave packets up to long time values of Ehrenfest order.
The Stable Manifold Theorem for Semilinear Stochastic Evolution Equations and Stochastic Partial Differential Equations
The Stable Manifold Theorem for Semilinear Stochastic Evolution Equations and Stochastic Partial Differential Equations - 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 The Stable Manifold Theorem for Semilinear Stochastic Evolution Equations and Stochastic Partial Differential Equations write by Salah-Eldin Mohammed. This book was released on 2008. The Stable Manifold Theorem for Semilinear Stochastic Evolution Equations and Stochastic Partial Differential Equations available in PDF, EPUB and Kindle. The main objective of this paper is to characterize the pathwise local structure of solutions of semilinear stochastic evolution equations and stochastic partial differential equations near stationary solutions.
