Analysis On Infinite-dimensional Lie Groups And Algebras - Proceedings Of The International Colloquium

Analysis On Infinite-dimensional Lie Groups And Algebras - Proceedings Of The International Colloquium
Author: Jean Marion
Publisher: World Scientific
Total Pages: 410
Release: 1998-10-30
Genre:
ISBN: 9814544841

This proceedings volume can be considered as a monograph on the state-of-the-art in the wide range of analysis on infinite-dimensional algebraic-topological structures. Topics covered in this volume include integrability and regularity for Lie groups and Lie algebras, actions of infinite-dimensional Lie groups on manifolds of paths and related minimal orbits, quasi-invariant measures, white noise analysis, harmonic analysis on generalized convolution structures, and noncommutative geometry. A special feature of this volume is the interrelationship between problems of pure and applied mathematics and also between mathematics and physics.

Quantum Probability And Related Topics - Proceedings Of The 30th Conference

Quantum Probability And Related Topics - Proceedings Of The 30th Conference
Author: Rolando Rebolledo
Publisher: World Scientific
Total Pages: 339
Release: 2011-01-19
Genre: Mathematics
ISBN: 9814462179

This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians.

Jean Leray ’99 Conference Proceedings

Jean Leray ’99 Conference Proceedings
Author: Maurice de Gosson
Publisher: Springer Science & Business Media
Total Pages: 521
Release: 2013-11-11
Genre: Mathematics
ISBN: 9401720088

This volume contains papers presented at the first conference held to honor the memory of, arguably, the greatest mathematician of the twentieth century, Jean Leray. Contributors from all over the world have submitted their work to be included in this unique collection, and it reflects the esteem in which Jean Leray was, and still is held. The book is divided into five parts: hyperbolic systems and equations; symplectic mechanics and geometry; sheaves and spectral sequences; elliptic operators and index theory; and mathematical physics. This volume will appeal to all those who acknowledge the value of Jean Leray's work in general, and students and researchers interested in analysis, topology and geometry, mathematical physics, classical mechanics and fluid mechanics and dynamics in particular.

Quantum Information Ii, Proceedings Of The Second International Conference

Quantum Information Ii, Proceedings Of The Second International Conference
Author: Takeyuki Hida
Publisher: World Scientific
Total Pages: 237
Release: 2000-07-31
Genre: Science
ISBN: 981449299X

Contents: The Quantum Filtering Problem as a Dynamical Covariance Condition (L Accardi)CKS-Space in Terms of Growth Functions (N Asai et al.)Large Deviation Principle for Catalytic Processes Associated with Nonlinear Catalytic Noise Equations (I Dôku)The Estimation of Tunneling Time by the Use of Nelson's Quantum Stochastic Process — Towards a Comparison with a Neutron Interference Experiment (T Hashimoto & T Tomomura)Complexity in White Noise Analysis (T Hida)Cauchy Problems in White Noise Analysis and an Application to Finite Dimensional PDEs (U C Ji)Itô Formula for Generalized Lévy Functionals (Y-J Lee & H-H Shih)Rhythmic Contraction and Its Fluctuations in an Amoeboid Organism of the Physarum Plasmodium (T Nakagaki & H Yamada)Quantum Computation and NP-Complete Problems (T Nishino)A Note on Coherent State Representations of White Noise Operators (N Obata)Complexity in Quantum System and Its Application to Brain Function (M Ohya)NP-Complete Problems with Chaotic Dynamics (M Ohya & I V Volovich)Field Fluctuation and Signal Generation in Living Cells (F Oosawa)Stochastic Processes Generated by Functions of the Lévy Laplacian (K Saitô & A H Tsoi)Gaussian Processes and Gaussian Random Fields (S Si) An Approach to Synthesize Filters with Reduced Structures Using a Neural Network (K Suzuki et al.)Study for Modeling the Spontaneous Fluctuation in Biological System (M Yamanoi et al.) Readership: Pure and applied probabilists, functional analysts, mathematical physicists, theoretical physicists and mathematical biologists. Keywords:

Differential Geometric Methods In Theoretical Physics - Proceedings Of The Xx International Conference (In 2 Volumes)

Differential Geometric Methods In Theoretical Physics - Proceedings Of The Xx International Conference (In 2 Volumes)
Author: Sultan Catto
Publisher: World Scientific
Total Pages: 1228
Release: 1992-01-27
Genre:
ISBN: 9814555509

This proceedings reports on some of the most recent advances on the interaction between Differential Geometry and Theoretical Physics, a very active and exciting area of contemporary research.The papers are grouped into the following four broad categories: Geometric Methods, Noncommutative Geometry, Quantum Gravity and Topological Quantum Field Theory. A few of the topics covered are Chern-Simons Theory and Generalizations, Knot Invariants, Models of 2D Gravity, Quantum Groups and Strings on Black Holes.

Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory

Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory
Author: Stephen Berman
Publisher: American Mathematical Soc.
Total Pages: 346
Release: 2002
Genre: Mathematics
ISBN: 0821827162

Because of its many applications to mathematics and mathematical physics, the representation theory of infinite-dimensional Lie and quantized enveloping algebras comprises an important area of current research. This volume includes articles from the proceedings of an international conference, ``Infinite-Dimensional Lie Theory and Conformal Field Theory'', held at the University of Virginia. Many of the contributors to the volume are prominent researchers in the field. Thisconference provided an opportunity for mathematicians and physicists to interact in an active research area of mutual interest. The talks focused on recent developments in the representation theory of affine, quantum affine, and extended affine Lie algebras and Lie superalgebras. They also highlightedapplications to conformal field theory, integrable and disordered systems. Some of the articles are expository and accessible to a broad readership of mathematicians and physicists interested in this area; others are research articles that are appropriate for more advanced readers.

Quantum Probability and Related Topics

Quantum Probability and Related Topics
Author: Rolando Rebolledo
Publisher: World Scientific
Total Pages: 339
Release: 2011
Genre: Mathematics
ISBN: 9814338745

This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians.

Infinite Dimensional Lie Algebras And Groups

Infinite Dimensional Lie Algebras And Groups
Author: Victor G Kac
Publisher: World Scientific
Total Pages: 642
Release: 1989-07-01
Genre:
ISBN: 9814663174

Contents:Integrable Representation of Kac-Moody Algebras: Results and Open Problems (V Chari & A Pressley)Existence of Certain Components in the Tensor Product of Two Integrable Highest Weight Modules for Kac-Moody Algebras (SKumar)Frobenius Action on the B-Cohomology (O Mathieu)Certain Rank Two Subsystems of Kac-Moody Root Systems (J Morita)Lie Groups Associated to Kac-Moody Lie Algebras: An Analytic Approach (E Rodriguez-Carrington)Almost Split-K-Forms of Kac-Moody Algebras (G Rousseau)Global Representations of the Diffeomorphism Groups of the Circle (F Bien)Path Space Realization of the Basic Representation of An(1) (E Date et al)Boson-Fermion Correspondence Over (C De Concini et al)Classification of Modular Invariant Representations of Affine Algebras (V G Kac & M Wakimoto)Standard Monomial Theory for SL2 (V Lakshmibai & C S Seshadri)Some Results on Modular Invariant Representations (S Lu)Current Algebras in 3+1 Space-Time Dimensions (J Mickelson)Standard Representations of An(1) (M Primc)Representations of the Algebra Uq(sI(2)), q-Orthogonal Polynomials and Invariants of Links (A N Kirillov & N Yu Reshetikhin)Infinite Super Grassmannians and Super Plücker Equations (M J Bergvelt)Drinfeld-Sokolov Hierarchies and t-Functions (H J Imbens)Super Boson-Fermion Correspondence of Type B (V G Kac & J W van de Leur)Prym Varieties and Soliton Equations (T Shiota)Polynomial Solutions of the BKP Hierarchy and Projective Representations of Symmetric Groups (Y You)Toward Generalized Macdonald's Identities (D Bernard)Conformal Theories with Non-Linearly Extended Virasoro Symmetries and Lie Algebra Classification (A Bilal & J-LGervais)Extended Conformal Algebras from Kac-Moody Algebras (P Bouwknegt)Meromorphic Conformal Field Theory (P Goddard)Local Extensions of the U(1) Current Algebra and Their Positive Energy Representations (R R Paunov & I T Todorov)Conformal Field Theory on Moduli Family of Stable Curves with Gauge Symmetries (A Tsuchiya & Y Yamada) Readership: Mathematicians and mathematical physicists