Series: Probability and its Applications
2004, XIV, 398 p., Hardcover
ISBN: 1-85233-777-X
About this book
Limit theorems for stochastic processes are
an important part of
probability theory and mathematical statistics
and one model that
has attracted the attention of many researchers
working in the
area is that of limit theorems for randomly
stopped stochastic
processes. This volume is the first to present
a state-of-the-art
overview of this field, with many of the
results published for
the first time. It covers the general conditions
as well as the
basic applications of the theory, and it
covers and demystifies
the vast, and technically demanding, Russian
literature in detail.
A survey of the literature and an extended
bibliography of works
in the area are also provided. The coverage
is thorough,
streamlined and arranged according to difficulty
for use as an
upper-level text if required. It is an essential
reference for
theoretical and applied researchers in the
fields of probability
and statistics that will contribute to the
continuing extensive
studies in the area and remain relevant for
years to come.
Table of contents
Preface.- Weak Convergence of Stochastic
Processes.- Weak
Convergence of Randomly Stopped Stochastic
Processes.- J-convergence
of Compositions of Stochastic Processes.-
Summary of Applications.-
Bibliographical Remarks.- References.- Index
Series: Grundlehren der mathematischen Wissenschaften
2004, XVIII, 655 p., Hardcover
ISBN: 3-540-20488-1
Due: May 1, 2004
About this book
The subject of this book is the theory of
abelian varieties over
the field of complex numbers. It covers the
main results of the
theory, both classic and recent, in modern
language. It is
intended to give a comprehensive introduction
to the field, but
also to serve as a reference. The focal topics
are the projective
embeddings of an abelian variety, their equations
and geometric
properties. Moreover several moduli spaces
of abelian varieties
with additional structure are constructed.
Some special results
on Jacobians and Prym varieties allow applications
to the theory
of algebraic curves. The second edition contains
five new
chapters which present some of the most important
recent result
on the subject. Among them are results on
automorphisms and
vector bundles on abelian varieties, algebraic
cycles and the
Hodge conjecture.
Written for:
Researchers and graduate students in Algebraic
Geometry, Complex
Geometry, Arithmetic Geometry, Dynamical
Systems, and Theoretical
Physics
Table of contents
Introduction.- Complex Tori.- Line Bundles
on Complex Tori.-
Cohomology of Line Bundles.- Abelian Varieties.-
Endomorphisms of
Abelian Varieties.- Theta and Heisenberg
Groups.- Equations for
Abelian Varieties.- Moduli.- Moduli Spaces
of Abelian Varieties
with Endomorphism Structure.- Abelian Surfaces.-
Jacobian
Varieties.- Prym Varieties.- Automorphisms.-
Vector bundles on
Abelian Varieties.- Further Results on Line
Bundles an the Theta
Divisor.- Cycles on Abelian Varieties.- The
Hodge Conjecture for
General Abelian and Jacobian Varieties.-
Appendix: Algebraic
Varieties and Complex Analytic Spaces.- Line
Bundles and Factors
of Automorphy.- Some Algebraic Geometric
Results.- Derived
Categories.- Moduli Spaces of Sheaves.- Abelian
Schemes.- Index.-
Glossary of Notation.
Series: Sources in the History of Mathematics
and Physical Sciences
2004, Etwa 1650 S. 50 Abb. (2 Bande, nicht
einzeln erhaltlich).,
Hardcover
ISBN: 3-540-40296-9
Due: February 1, 2004
About this book
Mit dem Druck von Wolfgang Paulis Briefwechsel
aus seinen letzten
beiden Lebensjahren wird eine grosangelegte
Edition der gesamten
wissenschaftlichen Korrespondenz eines der
bedeutendsten
theoretischen Physiker des 20. Jahrhunderts
abgeschlossen, der an
der Entwicklung der wichtigsten physikalischen
Ideen und
Theorien, insbesondere an der Relativitatstheorie
und
Quantentheorie sowie deren weiteren Ausbau
zu einer Feld- und
Elementarteilchentheorie, teilgenommen hat.
Der vorliegende
besonders umfangreiche Band mit 711 Briefen
behandelt die durch
Wu, Telegdi, Lederman u.a. bei den schwachen
Wechselwirkungen
beobachtete Paritatsverletzung, bei der das
einst von Pauli
postulierte Neutrino eine herausragende Rolle
spielt und die in
der Theorie der Elementarteilchen einen allgemeinen
Umschwung
einleitete. Neue Einblicke vermittelt der
Briefwechsel in die
enge Zusammenarbeit von Pauli und Heisenberg
anlasslich einer
damals entwickelten einheitlichen Feldtheorie
der
Elementarteilchen. This volume of the letters
Wolfgang Pauli
wrote during the final two years of his life
completes the
publication of the entire scientific correspondence
of one of the
most important theoretical physicists of
the 20th century. Pauli
played a vital role in the development of
the most important
physical ideas and theories of his time:
relativity and quantum
mechanics, in particular, and also in their
extension to
elementary particle field theory. This especially
extensive
volume covers more than 700 letters between
Pauli and scientists
such as Wu, Telegdi, Lederman and others,
in which he discussed
parity violation observed under the weak
interaction in which the
neutrino (first postulated by Pauli) plays
a crucial role. The
letters also provide new insights into the
close cooperation
between Pauli and Heisenberg on their work
on the unified field
theory of elementary particles, which was
being developed at that
time.
Written for:
General readership (especially among physicists),
researchers in
the history of exact sciences, philosophers
in science
Interessierte Laien, Wissenschaftshistoriker
und -philosophen
Table of contents
Aus dem Inhalt: Pauli und die theoretische
Physik des 20.
Jahrhunderts.- Das Jahr 1957: Paritatsverletzung
und schwache
Wechselwirkung.- Das Jahr 1958: Zusammenarbeit
mit Heisenberg
uber die Spinortheorie der Elementarteilchen
und Genfer
Hochenergiekonferenz.- Anhang: Nachwort.-
Zeittafel.-
Literaturverzeichnis: Allgemeine Literatur.-
Paulis
Veroffentlichungen: 1957-1958.- Verzeichnis
der Korrespondenten.-
Briefverzeichnisse.- Personenregister.- Sachwortregister.
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