Contemporary Mathematics, Volume: 561
2012; approx. 256 pp; softcover
ISBN-13: 978-0-8218-5275-0
Expected publication date is February 11, 2012.
This book contains the lecture notes as well as some invited papers presented at the Third Winter School in Complex Analysis, Operator Theory and Applications held February 2-5, 2010, in Valencia, Spain.
The book is divided into two parts. The first is an extended self-contained version of the mini-courses taught at the School. The papers in this first part are: Notes on real analytic functions and classical operators, by Pawe? Doma?ski; Shining a Hilbertian lamp on the bidisk, by John E. McCarthy; Selected problems in perturbation theory, by Vladimir V. Peller; and Composition operators on Hardy-Orlicz spaces, by Luis Rodriguez-Piazza.
The second part consists of several research papers on recent advances in the area and some survey articles of an expository character. The articles in this second part are: Remarks on weighted mixed norm spaces, by O. Blasco; Interpolation subspaces of L^1 of a vector measure and norm inequalities for the integration operator, by J.M. Calabuig, J. Rodriguez and E.A. Sanchez-Perez; On the spectra of algebras of analytic functions, by D. Carando, D. Garcia, M. Maestre and P. Sevilla-Peris; Holomorphic self-maps of the disk intertwining two linear fractional maps, by M.D. Contreras, S. Diaz-Madrigal, M.J. Martin and D. Vukoti?; ABC-type estimates via Garsia-type norms, by K.M. Dyakonov; and Volterra type operators on Bergman spaces with exponential weights, by J. Pau and J.A. Pelaez.
The topics selected for the mini-courses cover several aspects of complex analysis and operator theory that play important roles in understanding connections between different areas that are considered in fashion these days. This part is aimed at graduate students and young researchers. The courses are self-contained, focusing on those aspects that are basic and that can lead the readers to a quick understanding of the theories presented in each topic. They start with the classical results and reach a selection of open problems in each case. The research and survey articles are aimed at young researchers in the area, as well as post-doc and senior researchers interested in complex analysis and operator theory.
Graduate students and research mathematicians interested in complex analysis and operator theory.
Mini-courses
P. Domaski -- Notes on real analytic functions and classical operators
J. E. McCarthy -- Shining a Hilbertian lamp on the bidisk
V. V. Peller -- Selected problems in perturbation theory
L. Rodriguez-Piazza -- Composition operators on Hardy-Orlicz spaces
Articles
O. Blasco -- Remarks on weighted mixed norm spaces
J. M. Calabuig, J. Rodriguez, and E. A. Sanchez-Perez -- Interpolation subspaces of L^1 of a vector measure and norm inequalities for the integration operator
D. Carando, D. Garcia, M. Maestre, and P. Sevilla-Peris -- On the spectra of algebras of analytic functions
M. D. Contreras, S. Diaz-Madrigal, M. J. Martin, and D. Vukoti? -- Holomorphic self-maps of the disk intertwining two linear fractional maps
K. M. Dyakonov -- ABC-type estimates via Garsia-type norms
J. Pau and J. A. Pelaez -- Volterra type operators on Bergman spaces with exponential weights
Hardback
ISBN:9780521517522
109 b/w illus. 64 tables
Dimensions: 247 x 174 mm
available from February 2012
String theory is one of the most active branches of theoretical physics and has the potential to provide a unified description of all known particles and interactions. This book is a systematic introduction to the subject, focused on the detailed description of how string theory is connected to the real world of particle physics. Aimed at graduate students and researchers working in high energy physics, it provides explicit models of physics beyond the Standard Model. No prior knowledge of string theory is required as all necessary material is provided in the introductory chapters. The book provides particle phenomenologists with the information needed to understand string theory model building and describes in detail several alternative approaches to model building, such as heterotic string compactifications, intersecting D-brane models, D-branes at singularities and F-theory.
Preface
1. The standard model and beyond
2. Supersymmetry
3. Introduction to string theory: the bosonic string
4. Superstrings
5. Toroidal compactification of superstrings
6. Branes and string duality
7. Calabi?Yau compactifications of heterotic superstrings
8. Heterotic string orbifolds and other exact CFT constructions
9. Heterotic string compactifications: effective action
10. Type IIA orientifold compactifications: intersecting brane worlds
11. Type IIB orientifold compactifications
12. Type II compactifications: effective action
13. String instantons and effective field theory
14. Flux compactifications and moduli stabilization
15. Moduli stabilization and supersymmetry breaking in string theory
16. Further phenomenological properties. Strings and cosmology
17. The space of string vacua
Appendices
Index.
Paperback
Series: Cambridge Series in Statistical and Probabilistic Mathematics(No. 35)
ISBN:9781107606555
120 exercises
Dimensions: 253 x 177 mm
available from May 2012
Preface to the Second Edition
Preface to the First Edition
1. Measure theory and probability
2. Independence and conditioning
3. Gaussian variables
4. Distributional computations
5. Convergence of random variables
6. Random processes
Where is the notion N discussed?
Final suggestions: how to go further?
References
Index.
Hardcover
ISBN 978-3-11-025591-1
Series: De Gruyter Studies in Mathematics 44
to be published June 2012
24 x 17 cm
Approx. x, 400 pages
30 fig.
Languages: English
Type of Publication: Monograph
Covers the topology of trigonal curves and elliptic surfaces
Conveys recent knowledge about related objects
Of interest to researches and graduate students in the fields of topology and of complex and real algebraic varieties
The book summarizes the state and new results on the topology of trigonal curves in geometrically ruled surfaces. Emphasis is placed@upon various applications of the theory to related areas, most notably singular plane curves of small degree, elliptic surfaces and Lefschetz fibrations (both complex and real), and Hurwitz equivalence of braid
monodromy factorizations.
Subjects
Mathematics > Analysis
Readership
Researches, Lecturers, Graduate Students; Academic Libraries
Hardcover
ISBN 978-3-11-026396-1
Series: De Gruyter Expositions in Mathematics 58
to be published October 2012
135.0024 x 17 cm
Approx. x, 150 pages
Languages: English
Type of Publication: Monograph
This book is an introduction into a new and fast developing field on the crossroad of infinite-dimensional Lie algebra theory and contemporary mathematical physics. It contains a self-consistent presentation of the theory of Krichever-Novikov algebras, Lax operator algebras, their interaction, representation theory, relations to moduli spaces of Riemann surfaces and holomorphic vector bundles on them, to Lax integrable systems, and Conformal Field Theory. Particular attention is paid to Lax operator algebras and their fruitful applications to integrable systems, Conformal Field Theory and representation theory of Krichever-Novikov algebras.
For beginners, it provides a short way to join in the investigations in these fields. For experts, it sums up the recent advances in the theory of almost graded infinite-dimensional Lie algebras and their applications. Majority of results are presented for the first time in the form of monograph.
Subjects
Mathematics > Algebra, Number theory
Readership
Researchers, Lecturers, PhD and Graduate Students in Mathematics and Mathematical Physics; Academic Libraries