Applications of Lie groups to differential equations by Peter J. Olver

Applications of Lie groups to differential equations Peter J. Olver ebook
Page: 640
Publisher: Springer-Verlag
Format: djvu
ISBN: 0387962506, 9780387962504

Roeckner, Bielefeld: Self-organized criticality via stochastic partial differential equations. Chafai, Toulouse: Spectral analysis of large random Markov chains D. Pistorius, Imperial College: Maximum increments of random walks and M. The first half of the book is based Keywords » Control Systems - Lie Algebras - Matrix Groups - brandonwiskunde. The study of bilinear control systems Its methods and applications cross inter-disciplinary boundaries, proving useful in areas as diverse as spin control in quantum physics and the study of Lie semigroups. The third part is more advanced and introduces into matrix Lie groups and Lie algebras the representation theory of groups, symplectic and Poisson geometry, and applications of complex analysis in surface theory. The successful applicant is expected to participate in the supervision of PhD students and will have The University of Potsdam and the Max Planck Society are committed to support the appointment of severely handicapped people, applications are explicitly encouraged. Here, only a basic knowledge of algebra, calculus and ordinary differential equations is required. Krasovsky, Brunel and Imperial college: Toeplitz determinants and their applications. The preferred research area lies in nonlinear partial differential equations related to geometry and mathematical physics. A control system is called bilinear if it is described by linear differential equations in which the control inputs appear as coefficients. Applebaum, Sheffield: Spectral properties of semigroups of measures on Lie groups. In particular, Chapter 5 contains short introductions to hyperbolic geometry and geometrical principles of special relativity theory.