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Quantum and Stochastic Mathematical Physics
Sergio Albeverio gave important contributions to many fields ranging from Physics to Mathematics, while creating new research areas from their interplay. Some of them are presented in this Volume that grew out of the Random Transformations and Invariance in Stochastic Dynamics Workshop held in Verona in 2019. To understand the theory of thermo- and fluid-dynamics, statistical mechanics, quantum mechanics and quantum field theory, Albeverio and his collaborators developed stochastic theories having strong interplays with operator theory and functional analysis. His contribution to the theory of (non Gaussian)-SPDEs, the related theory of (pseudo-)differential operators, and ergodic theory had...
The Matter of Facts
How biases, the desire for a good narrative, reliance on citation metrics, and other problems undermine confidence in modern science. Modern science is built on experimental evidence, yet scientists are often very selective in deciding what evidence to use and tend to disagree about how to interpret it. In The Matter of Facts, Gareth and Rhodri Leng explore how scientists produce and use evidence. They do so to contextualize an array of problems confronting modern science that have raised concerns about its reliability: the widespread use of inappropriate statistical tests, a shortage of replication studies, and a bias in both publishing and citing “positive” results. Before these proble...
Towards an Information Theory of Complex Networks
For over a decade, complex networks have steadily grown as an important tool across a broad array of academic disciplines, with applications ranging from physics to social media. A tightly organized collection of carefully-selected papers on the subject, Towards an Information Theory of Complex Networks: Statistical Methods and Applications presents theoretical and practical results about information-theoretic and statistical models of complex networks in the natural sciences and humanities. The book's major goal is to advocate and promote a combination of graph-theoretic, information-theoretic, and statistical methods as a way to better understand and characterize real-world networks. This ...
Noncommutative Distributions
Covering important aspects of the theory of unitary representations of nuclear Lie groups, this self-contained reference presents the general theory of energy representations and addresses various extensions of path groups and algebras.;Requiring only a general knowledge of the theory of unitary representations, topological groups and elementary stochastic analysis, Noncommutative Distributions: examines a theory of noncommutative distributions as irreducible unitary representations of groups of mappings from a manifold into a Lie group, with applications to gauge-field theories; describes the energy representation when the target Lie group G is compact; discusses representations of G-valued jet bundles when G is not necessarily compact; and supplies a synthesis of deep results on quasi-simple Lie algebras.;Providing over 200 bibliographic citations, drawings, tables, and equations, Noncommutative Distributions is intended for research mathematicians and theoretical and mathematical physicists studying current algebras, the representation theory of Lie groups, and quantum field theory, and graduate students in these disciplines.
Nonlinear Dynamics and Complexity
This important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics. Nonlinear Dynamics and Complexity equips readers to appreciate this increasingly main-stream approach to understanding complex phenomena in nonlinear systems as they are examined in a broad array of disciplines. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering.
TRIZ – The Theory of Inventive Problem Solving
The work presented here is generally intended for engineers, educators at all levels, industrialists, managers, researchers and political representatives. Offering a snapshot of various types of research conducted within the field of TRIZ in France, it represents a unique resource. It has been two decades since the TRIZ theory originating in Russia spread across the world. Every continent adopted it in a different manner – sometimes by glorifying its potential and its perspectives (the American way); sometimes by viewing it with mistrust and suspicion (the European way); and sometimes by adopting it as-is, without questioning it further (the Asian way). However, none of these models of ...
Open Quantum Systems III
Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quant...
An Anthology of French and Francophone Singers from A to Z
Every musical form has had an impact on the linguistic practices of our society. French song is a vector of cultural, social, and stylistic values. Throughout the world, songs in the French language are used in the teaching of French: professors incorporate songs into the curriculum in order to illustrate differences of register and linguistic variation, as well as to raise lexical or grammatical questions. As a form of popular expression, song is a genre that has, in recent years, become the focus of serious academic scholarship and criticism. However, few linguists have paid attention to French song and its linguistic uses. This richly illustrated mini-dictionary about French singers fills...
Contested, Violated but Persistent
Presidential term limits have been a crucial institutional feature of the third wave of democratization. They are meant to safeguard democracy by promoting alternation in office and preventing the personalization of power. However, since the 1990s term limits have been subject to frequent contestation by incumbents. Such contestation process has often been considered a sign of autocratization, particularly when it involves the weakening of other constitutional constraints, such as courts and legislatures. Term-limit contestations have attracted the attention of scholars working with a global perspective as well as with a regional or country-specific one too. Latin America and sub-Saharan Afr...
Re-Thinking Time at the Interface of Physics and Philosophy
The current volume of the Parmenides Series “On Thinking” addresses our deepest and most personal experience of the world, the experience of “the present,” from a modern perspective combining physics and philosophy. Many prominent researchers have contributed articles to the volume, in which they present models and express their opinions on and, in some cases, also their skepticism about the subject and how it may be (or may not be) addressed, as well as which aspects they consider most relevant in this context. While Einstein might have once hoped that “the present” would find its place in the theory of general relativity, in a later discussion with Carnap he expressed his disappointment that he was never able to achieve this goal. This collection of articles provides a unique overview of different modern approaches, representing not only a valuable summary for experts, but also a nearly inexhaustible source of profound and novel ideas for those who are simply interested in this question.
