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Isomorphisms Between H1 Spaces
This book gives a thorough and self contained presentation of H1, its known isomorphic invariants and a complete classification of H1 on spaces of homogeneous type. The necessary background is developed from scratch. This includes a detailed discussion of the Haar system, together with the operators that can be built from it. Complete proofs are given for the classical martingale inequalities, and for large deviation inequalities. Complex interpolation is treated. Througout, special attention is given to the combinatorial methods developed in the field. An entire chapter is devoted to study the combinatorics of coloured dyadic Intervals.
Automata, Languages and Programming
Annotation The two-volume set LNCS 6198 and LNCS 6199 constitutes the refereed proceedings of the 37th International Colloquium on Automata, Languages and Programming, ICALP 2010, held in Bordeaux, France, in July 2010. The 106 revised full papers (60 papers for track A, 30 for track B, and 16 for track C) presented together with 6 invited talks were carefully reviewed and selected from a total of 389 submissions. The papers are grouped in three major tracks on algorithms, complexity and games; on logic, semantics, automata, and theory of programming; as well as on foundations of networked computation: models, algorithms and information management. LNCS 6199 contains 46 contributions of track B and C selected from 167 submissions as well as 4 invited talks.
Agent and Multi-Agent Systems: Technologies and Applications
This book constitutes the refereed proceedings of the 5th KES International Conference on Agent and Multi-Agent Systems, KES-AMSTA 2011, held in Manchester, UK, in June/July 2011. The 69 revised papers presented were carefully reviewed and selected for inclusion in the book. In addition the volume contains one abstract and one full paper length keynote speech. The papers are organized in topical sections on conversational agents, dialogue systems and text processing; agents and online social networks; robotics and manufacturing; agent optimisation; negotiation and security; multi-agent systems; mining and profiling; agent-based optimization; doctoral track; computer-supported social intelligence for human interaction; digital economy; and intelligent workflow, cloud computing and systems.
Optimization in computer engineering – Theory and applications
The aim of this book is to provide an overview of classic as well as new research results on optimization problems and algorithms. Beside the theoretical basis, the book contains a number of chapters describing the application of the theory in practice, that is, reports on successfully solving real-world engineering challenges by means of optimization algorithms. These case studies are collected from a wide range of application domains within computer engineering. The diversity of the presented approaches offers a number of practical tips and insights into the practical application of optimization algorithms, highlighting real-world challenges and solutions. Researchers, practitioners and graduate students will find the book equally useful.
Analytic Information Theory
Explores problems of information and learning theory, using tools from analytic combinatorics to analyze precise behavior of source codes.
Projective Geometry and Formal Geometry
The aim of this monograph is to introduce the reader to modern methods of projective geometry involving certain techniques of formal geometry. Some of these methods are illustrated in the first part through the proofs of a number of results of a rather classical flavor, involving in a crucial way the first infinitesimal neighbourhood of a given subvariety in an ambient variety. Motivated by the first part, in the second formal functions on the formal completion X/Y of X along a closed subvariety Y are studied, particularly the extension problem of formal functions to rational functions. The formal scheme X/Y, introduced to algebraic geometry by Zariski and Grothendieck in the 1950s, is an an...
Process Measurement in Business Process Management
Process measurement deals with the quantification of business process models using process model metrics. This book presents a theoretical framework for the prediction of external process model attributes (as, for example, error-proneness and understandabiltiy) based on internal (structural) attributes. The properties of proposed metrics are analyzed. A visualization technique for metric values is introduced and metrics for process model understandability and granularity are evaluated.
Graphs and Geometry
Graphs are usually represented as geometric objects drawn in the plane, consisting of nodes and curves connecting them. The main message of this book is that such a representation is not merely a way to visualize the graph, but an important mathematical tool. It is obvious that this geometry is crucial in engineering, for example, if you want to understand rigidity of frameworks and mobility of mechanisms. But even if there is no geometry directly connected to the graph-theoretic problem, a well-chosen geometric embedding has mathematical meaning and applications in proofs and algorithms. This book surveys a number of such connections between graph theory and geometry: among others, rubber b...
A Geometric Theory for Hypergraph Matching
The authors develop a theory for the existence of perfect matchings in hypergraphs under quite general conditions. Informally speaking, the obstructions to perfect matchings are geometric, and are of two distinct types: `space barriers' from convex geometry, and `divisibility barriers' from arithmetic lattice-based constructions. To formulate precise results, they introduce the setting of simplicial complexes with minimum degree sequences, which is a generalisation of the usual minimum degree condition. They determine the essentially best possible minimum degree sequence for finding an almost perfect matching. Furthermore, their main result establishes the stability property: under the same ...
First European Congress of Mathematics
Table of contents: Plenary Lectures V.I. Arnold: The Vassiliev Theory of Discriminants and Knots L. Babai: Transparent Proofs and Limits to Approximation C. De Concini: Poisson Algebraic Groups and Representations of Quantum Groups at Roots of 1 S.K. Donaldson: Gauge Theory and Four-Manifold Topology W. Mller: Spectral Theory and Geometry D. Mumford: Pattern Theory: A Unifying Perspective A.-S. Sznitman: Brownian Motion and Obstacles M. Vergne: Geometric Quantization and Equivariant Cohomology Parallel Lectures Z. Adamowicz: The Power of Exponentiation in Arithmetic A. Bjrner: Subspace Arrangements B. Bojanov: Optimal Recovery of Functions and Integrals J.-M. Bony: Existence globale et diffusion pour les modles discrets R.E. Borcherds: Sporadic Groups and String Theory J. Bourgain: A Harmonic Analysis Approach to Problems in Nonlinear Partial Differatial Equations F. Catanese: (Some) Old and New Results on Algebraic Surfaces Ch. Deninger: Evidence for a Cohomological Approach to Analytic Number Theory S. Dostoglou and D.A. Salamon: Cauchy-Riemann Operators, Self-Duality, and the Spectral Flow.
