Series: Progress in Mathematics, Vol. 306
2013, XIV, 371 p. 15 illus.
Hardcover
ISBN 978-1-4614-7192-9
Due: July 13, 2013
.Invited contributions are written by distinguished researchers in the field
Most articles are surveys of important research areas involving algebraic, geometric, and analytic methods
Finite groups and classical finite dimensional as well as infinite-dimensional Lie groups and algebras are discussed in detail
Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due to Professor Wolf’s broad interests, outstanding mathematicians and scholars in a wide spectrum of mathematical fields contributed to the volume. Algebraic, geometric, and analytic methods are employed. More precisely, finite groups and classical finite dimensional, as well as infinite-dimensional Lie groups, and algebras play a role. Actions on classical symmetric spaces, and on abstract homogeneous and representation spaces are discussed. Contributions in the area of representation theory involve numerous viewpoints, including that of algebraic groups and various analytic aspects of harmonic analysis.
Preface.- Real group orbits on flag manifolds.- Complex connections with trivial holonomy.- Indefinite harmonic theory and harmonic spinors.- Twistor theory and the harmonic hull.- Nilpotent Gelfand pairs and spherical transforms of Schwartz functions, II: Taylor expansions on singular sets.- Propagation of the multiplicity-freeness property for holomorphic vector bundles.- Poisson transforms for line bundles from the Shilov boundary to bounded symmetric domains.- Cent(U(n)), cascade of orthogonal roots, and a construction of Lipsman?Wolf.- Weakly harmonic Maas forms and the principal series for SL(2,R).- Holomorphic realization of unitary representations of Banach-Lie groups.- The Segal?Bargmann transform on compact symmetric spaces and their direct limits.- Analysis on flag manifolds and Sobolev inequalities.- Boundary value problems on Riemannian symmetric spaces of noncompact type.- One step spherical functions of the pair (SU(n + 1), U(n)).- Chern?Weil theory for certain infinite-dimensional Lie groups.- On the structure of finite groups with periodic cohomology.
Series: Lecture Notes in Mathematics, Vol. 2078
Subseries: Seminaire de Probabilites
2013, Approx. 520 p. 24 illus., 11 in color.
Softcover
ISBN 978-3-319-00320-7
Due: May 31, 2013
This volume provides a broad insights on current, high level researches in probability theory
The series of advanced courses initiated in Seminaire de Probabilites XXXIII continues with a course by Ivan Nourdin on Gaussian approximations using Malliavin calculus. The Seminaire also occasionally publishes a series of contributions on a unifying subject; in this spirit, selected participants to the September 2011 Conference on Stochastic Filtrations, held in Strasbourg and organized by Michel Emery, have also contributed to the present volume. The rest of the work covers a wide range of topics, such as stochastic calculus and Markov processes, random matrices and free probability, and combinatorial optimization.
Special Course: I. Nourdin: Lectures on Gaussian approximations with Malliavin calculus.- Other Contributions: V. Prokaj: Some sufficient conditions for the ergodicity of the Levy-transformation.- S. Laurent: Vershik’s intermediate level standardness criterion and the scale of an automorphism.- C. Dellacherie and M. Emery: Filtrations indexed by ordinals; application to a conjecture of S. Laurent.- M. Emery: A planar Borel set which divides every Borel product.- J. Brossard et C. Leuridan: Characterising Ocone local martingales with reflections.- H. Hashimoto: Approximation and stability of solutions of SDEs driven by a symmetric a stable process with non-Lipschitz coefficients.- C. Cuchiero and Josef Teichman: Path properties and regularity of affine processes on general state spaces.- E. Jacob: Langevin process reflected on a partially elastic boundary II.- R. Doney and S. Vakeroudis: Windings of planar stable processes.- A. Sokol: Elementary proof that the first hitting time of an open set by a jump process is a stopping time.- L. Doring and M. Roberts: Catalytic branching processes via spine techniques and renewal theory.- S. Bourgain and C. Tudor: Malliavin calculus and self normalized sums.- P. Catuogno, D. Ledesma and P. Ruffino: A note on stochastic calculus in vector bundles.- G. Pages: Functional co-monotony of processes with an application to peacocks.- S. Noreddine: Fluctuations of the traces of complex-valued iid random matrices.- J. Ortmann: Functionals of the Free Brownian motion.- L. Miclo and P. Monmarche´: Etude de processus moins indecis que les autres.- F. Barthe and C. Bordenave: Combinatorial optimization over two random point sets.- I. Kortchemski: A simple proof of Duquesne’s theorem on contour processes of conditioned Galton-Watson trees.
Series: Birkhauser Advanced Texts Basler Lehrbucher
2013, Approx. 300 p.
Hardcover
ISBN 978-3-0348-0656-5
Due: August 30, 2013
.Excellent for learning the use of basic results on qualitative theory of differential systems
Illustrates how to use the Poincare map for studying the periodic orbits of a differential system
Shows the importance of compactification of the domain of definition of a differential system for the understanding of the global dynamics of the system
Points out the importance of bifurcation diagrams for describing the different dynamics of differential systems depending on parameters?
The book deals with continuous piecewise linear differential systems in the plane with three pieces separated by a pair of parallel straight lines. Moreover, these differential systems are symmetric with respect to the origin of coordinates. This class of systems driven by concrete applications is of interest in engineering, in particular in control theory and the design of electric circuits. By studying these particular differential systems we will introduce the basic tools of the qualitative theory of ordinary differential equations, which allow us to describe the global dynamics of these systems including the infinity. The behavior of their solutions, their parametric stability or instability and their bifurcations are described. The book is very appropriate for a first course in the qualitative theory of differential equations or dynamical systems, mainly for engineers, mathematicians, and physicists.
Preface.- 1 Introduction and statement of the main results.- 2 Basic elements of the qualitative theory of ODEs.- 3 Fundamental systems.- 4 Return maps.- 5 Phase portraits.- Index.- Bibliography.?
Published: March 2013
The Handbook of Moduli, comprising three volumes, offers a multi-faceted survey of a rapidly developing subject aimed not just at specialists but at a broad community of producers of algebraic geometry, and even at some consumers from cognate areas. The thirty-five articles in the Handbook, written by fifty leading experts, cover nearly the entire range of the field. They reveal the relations between these many threads and explore their connections to other areas of algebraic geometry, number theory, differential geometry, and topology. The goals of the Handbook are to introduce the techniques, examples, and results essential to each topic, and to say enough about recent developments to provide a gateway to the primary sources. Many articles are original treatments commissioned to bridge gaps in the literature and to make important problems accessible to a wide audience for the first time, and many others illustrate yogas and heuristics that experts use privately to guide intuition or simplify calculation, but that do not appear in published work aimed at other specialists.
This is a set comprising the following volumes:
Handbook of Moduli: Volume I (vol. 24 of the ALM series)
Handbook of Moduli: Volume II (vol. 25 of the ALM series)
Handbook of Moduli: Volume III (vol. 26 of the ALM series)