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This edited volume presents a collection of carefully refereed
articles covering the latest advances in Automorphic Forms and
Number Theory, that were primarily developed from presentations
given at the 2012 "International Conference on Automorphic Forms
and Number Theory," held in Muscat, Sultanate of Oman. The present
volume includes original research as well as some surveys and
outlines of research altogether providing a contemporary snapshot
on the latest activities in the field and covering the topics of:
Borcherds products Congruences and Codes Jacobi forms Siegel and
Hermitian modular forms Special values of L-series Recently, the
Sultanate of Oman became a member of the International Mathematical
Society. In view of this development, the conference provided the
platform for scientific exchange and collaboration between
scientists of different countries from all over the world. In
particular, an opportunity was established for a close exchange
between scientists and students of Germany, Oman, and Japan. The
conference was hosted by the Sultan Qaboos University and the
German University of Technology in Oman.
This edited volume presents a collection of carefully refereed
articles covering the latest advances in Automorphic Forms and
Number Theory, that were primarily developed from presentations
given at the 2012 "International Conference on Automorphic Forms
and Number Theory," held in Muscat, Sultanate of Oman. The present
volume includes original research as well as some surveys and
outlines of research altogether providing a contemporary snapshot
on the latest activities in the field and covering the topics of:
Borcherds products Congruences and Codes Jacobi forms Siegel and
Hermitian modular forms Special values of L-series Recently, the
Sultanate of Oman became a member of the International Mathematical
Society. In view of this development, the conference provided the
platform for scientific exchange and collaboration between
scientists of different countries from all over the world. In
particular, an opportunity was established for a close exchange
between scientists and students of Germany, Oman, and Japan. The
conference was hosted by the Sultan Qaboos University and the
German University of Technology in Oman.
This book presents the proceedings of a conference on dynamical
systems held in honor of Jurgen Scheurle in January 2012. Through
both original research papers and survey articles leading experts
in the field offer overviews of the current state of the theory and
its applications to mechanics and physics. In particular, the
following aspects of the theory of dynamical systems are covered: -
Stability and bifurcation - Geometric mechanics and control theory
- Invariant manifolds, attractors and chaos - Fluid mechanics and
elasticity - Perturbations and multiscale problems - Hamiltonian
dynamics and KAM theory Researchers and graduate students in
dynamical systems and related fields, including engineering, will
benefit from the articles presented in this volume.
Written by leading scholars from various disciplines, this book
presents current research on topics such as public choice, game
theory, and political economy. It features contributions on
fundamental, methodological, and empirical issues around the
concepts of power and responsibility that strive to bridge the gap
between different disciplinary approaches. The contributions fall
into roughly four sub-disciplines: voting and voting power, public
economics and politics, economics and philosophy, as well as labor
economics. On the occasion of his 75th birthday, this book is
written in honor of Manfred J. Holler, an economist by training and
profession whose work as a guiding light has helped advance our
understanding of the interdisciplinary connections of concepts of
power and responsibility. He has written many articles and books on
game theory, and worked extensively on questions of labor
economics, politics, and philosophy.
This book is a holistic and self-contained treatment of the
analysis and numerics of random differential equations from a
problem-centred point of view. An interdisciplinary approach is
applied by considering state-of-the-art concepts of both dynamical
systems and scientific computing. The red line pervading this book
is the two-fold reduction of a random partial differential equation
disturbed by some external force as present in many important
applications in science and engineering. First, the random partial
differential equation is reduced to a set of random ordinary
differential equations in the spirit of the method of lines. These
are then further reduced to a family of (deterministic) ordinary
differential equations. The monograph will be of benefit, not only
to mathematicians, but can also be used for interdisciplinary
courses in informatics and engineering.
This volume consists of a selection of research-type articles on
dynamical systems, evolution equations, analytic number theory and
closely related topics. A strong emphasis is on a fair balance
between theoretical and more applied work, thus spanning the chasm
between abstract insight and actual application. Several of the
articles are expected to be in the intersection of dynamical
systems theory and number theory. One article will likely relate
the topics presented to the academic achievements and interests of
Prof. Leutbecher and shed light on common threads among all the
contributions.
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