Series: Springer Series in Statistics
2015, XIV, 193 p. 59 illus., 10 illus. in color.
Hardcover
ISBN 978-3-319-18967-3
* This is the first text to introduce nonparametric Bayesian inference
from a data analysis perspective
* Includes a large number of examples to illustrate the application of
nonparametric Bayesian models for important statistical inference
Problems
* Features an extensive discussion of computational details for a
practical implementation, including R code for many of the examples
This book reviews nonparametric Bayesian methods and models that have proven
useful in the context of data analysis. Rather than providing an encyclopedic review of
probability models, the bookfs structure follows a data analysis perspective. As such,
the chapters are organized by traditional data analysis problems. In selecting specific
nonparametric models, simpler and more traditional models are favored over specialized
ones.
The discussed methods are illustrated with a wealth of examples, including applications
ranging from stylized examples to case studies from recent literature. The book also
includes an extensive discussion of computational methods and details on their
implementation. R code for many examples is included in on-line software pages.
Series: Pseudo-Differential Operators, Vol. 11
2015, X, 202 p.
Softcover
ISBN 978-3-319-18656-6
* Features a complete study of pseudodifferential operators with
automorphic symbols
* Covers a complete analysis of link between modular distributions (in
the plane) and non-holomorphic modular forms in the half-plane
* Includes an introduction to the case of holomorphic modular forms,
linked to the new anaplectic representation and symbolic calculus
The main results of this book combine pseudodifferential analysis with modular form
and L-function theory, with the help of explicit spectral-theoretic calculations. The
starting point is a notion of modular distribution in the plane, which will be new to most
readers and which, under the Radon transformation, relates to the classical notion of
non-holomorphic modular form. Holomorphic modular forms are also briefly considered,
within a general scheme that addresses quantization theory and elementary but novel
representation-theoretic concepts.
Series: Fields Institute Monographs, Vol. 34
2015, XIV, 498 p. 47 illus., 10 illus. in color.
Hardcover
ISBN 978-1-4939-2829-3
* Fills a gap in the existing literature, presenting a friendly yet
comprehensive introduction of the subject matter
* Covers diverse streams of current research
* Provides quick exposure to rapidly developing subjects
This volume presents a lively introduction to the rapidly developing and vast research
areas surrounding Calabi*Yau varieties and string theory. With its coverage of the various
perspectives of a wide area of topics such as Hodge theory, Gross*Siebert program,
moduli problems, toric approach, and arithmetic aspects, the book gives a comprehensive
overview of the current streams of mathematical research in the area.
The contributions in this book are based on lectures that took place during workshops
with the following thematic titles: gModular Forms Around String Theory,h gEnumerative
Geometry and Calabi*Yau Varieties,h gPhysics Around Mirror Symmetry,h gHodge Theory
in String Theory.h The book is ideal for graduate students and researchers learning about
Calabi*Yau varieties as well as physics students and string theorists who wish to learn the
mathematics behind these varieties.
Series: Universitext
2016, X, 268 p. 12 illus.
Softcover
ISBN 978-3-319-20692-9
* Combines Levy-based fluctuation theory and queueing theory
* Studies the possibilities of fluctuation-theoretic elements and the
connection to queues
* Applicable for both an applied- and a theory-oriented audience
The book provides an extensive introduction to queueing models driven by Levyprocesses
as well as a systematic account of the literature on Levy-driven queues. The
objective is to make the reader familiar with the wide set of probabilistic techniques that
have been developed over the past decades, including transform-based techniques,
martingales, rate-conservation arguments, change-of-measure, importance sampling,
and large deviations. On the application side, it demonstrates how Levy traffic models
arise when modelling current queueing-type systems (as communication networks) and
includes applications to finance.
Queues and Levy Fluctuation Theory will appeal to graduate/postgraduate students
and researchers in mathematics, computer science, and electrical engineering. Basic
prerequisites are probability theory and stochastic processes.
Series: Contemporary Mathematicians
2015, XII, 809 p.
Hardcover
ISBN 978-3-319-18795-2
* Presents Nigel Kalton's most influential articles
* Features comments by a panel of leading experts
* Makes some unpublished work available for the first time
* Provides a useful guide to contemporary analysis
This book is the first part of a two volume anthology comprising a selection of 49 articles
that illustrate the depth, breadth and scope of Nigel Kaltonfs research. Each article is
accompanied by comments from an expert on the respective topic, which serve to
situate the article in its proper context, to successfully link past, present and hopefully
future developments of the theory, and to help readers grasp the extent of Kaltonfs
accomplishments. Kaltonfs work represents a bridge to the mathematics of tomorrow, and
this book will help readers to cross it.
Nigel Kalton (1946-2010) was an extraordinary mathematician who made major
contributions to an amazingly diverse range of fields over the course of his career.