Due 2018-10-16
1st ed. 2018, X, 370 p. 42 illus., 33 illus. in color.
Softcover
ISBN 978-3-319-97477-4
Series : Lecture Notes in Mathematics
Contributes to current and upcoming research on large-scale and distributed
optimization
Covers the increasingly important tools and methods for large-scale optimization
Offers a valuable source of information to both researchers and students
This book presents tools and methods for large-scale and distributed optimization. Since many
methods in "Big Data" fields rely on solving large-scale optimization problems, often in
distributed fashion, this topic has over the last decade emerged to become very important. As
well as specific coverage of this active research field, the book serves as a powerful source of
information for practitioners as well as theoreticians. Distributed and Large-Scale Optimization
is a unique combination of contributions from leading experts in the field, who were speakers
at the LCCC Focus Period on Large-Scale and Distributed Optimization, held in Lund, 14th?16th
June 2017. A source of information and innovative ideas for current and future research, this
book will appeal to researchers, academics, and students who are interested in large-scale
optimization.
Due 2019-01-10
1st ed. 2018, XX, 418 p. 2
illus., 1 illus. in color.
Hardcover
ISBN 978-3-319-95890-3
Series
Ergebnisse der Mathematik und ihrer
Grenzgebiete. 3. Folge / A Series of
Modern Surveys in Mathematics
Provides an accessible introduction to the Arthur-Langlands conjectures,
illustrated by numerous illuminating examples and concrete number theoretic
applications
Presents the arithmetic theory of automorphic forms for reductive groups
over the integers, with an emphasis on phenomena not seen in the traditional
GL(2) case
Offers a self-contained approach of the theory of Euclidean lattices through
the general theory of quadratic forms over Dedekind domains
This book includes a self-contained approach of the general theory of quadratic forms and
integral Euclidean lattices, as well as a presentation of the theory of automorphic forms and
Langlands' conjectures, ranging from the first definitions to the recent and deep classification
results due to James Arthur. Its connecting thread is a question about lattices of rank 24: the
problem of p-neighborhoods between Niemeier lattices. This question, whose expression is
quite elementary, is in fact very natural from the automorphic point of view, and turns out to
be surprisingly intriguing. We explain how the new advances in the Langlands program
mentioned above pave the way for a solution. This study proves to be very rich, leading us to
classical themes such as theta series, Siegel modular forms, the triality principle, L-functions
and congruences between Galois representations. This monograph is intended for any
mathematician with an interest in Euclidean lattices, automorphic forms or number theory. A
large part of it is meant to be accessible to non-specialists.
Pages: 252
ISBN: 978-981-3237-30-8 (hardcover)
The book is a collection of original papers, research and surveys, dedicated to the memory of the Romanian mathematician Solomon Marcus (1925?2016). Marcus published many papers and books in mathematical analysis, theoretical computer science, mathematical linguistics, poetics, theory of literature, semiotics, and several other fields less strongly connected to mathematics, like cultural anthropology, biology, history and philosophy of science, education. He exemplified an unimaginable richness of ideas.
This volume intends to emphasize the mathematical fields in which Solomon Marcus worked, and demonstrate ? as he also did ? the interconnection between them. The authors who contribute to this volume are well-known experts in their fields. Most of them knew Solomon Marcus well, some even owed him for his decisive impulses for their careers and general development. With articles in so diverse areas, the volume will attract readers who would like to diversify their own knowledge or find unexpected connections with other topics.
Logic, Complexity and Algebra:
On Bases of Many-Valued Truth Functions (A Salomaa)
Quasiperiods of Infinite Words (L Staiger)
Early Romanian Contributions to Algebra and Polynomials (D ?tef?nescu)
Distributed Compression through the Lens of Algorithmic Information Theory: A Primer (M Zimand)
Integrals, Operators, AF Algebras, Proof Mining and Monotone Nonexpansive Mappings:
Monotonically Controlled Integrals (T Ball, D Preiss)
Fine Properties of Duality Mappings (G Dinc?)
Primitive Ideal Spaces of Postliminal AF Algebras (A Lazar)
An Application of Proof Mining to the Proximal Point Algorithm in CAT(0) Spaces (L Leu?tean, A Sipo?)
Generic Well-posedness of the Fixed Point Problem for Monotone Nonexpansive Mappings (S Reich, A J Zaslavski)
Linguistics, Computer Science and Physics:
Analytical Linguistics and Formal Grammars: Contributions of Solomon Marcus and Their Further Developments (M Burgin)
A Contagious Creativity (Gh P?un)
Entanglement through Path Identification (K Svozil)
Solomon Marcus in Context:
Memories about Solomon Marcus (A Bruckner)
Memories With and About My Uncle (M Marcus)
Index
Readership: Graduate students and researchers.