The notes of the course by Vlad Bally are co-authored with her collaborator Lucia Caramellino. They develop integration by parts formulas in an abstract setting, extending Malliavin’s work on abstract Wiener spaces, and thereby being applicable to prove absolute continuity for a broad class of random vectors. Properties like regularity of the density, estimates of the tails, and approximati…
Readers of this work will find examinations of the current status and future status for energy sources and technologies, their environmental interactions and the relevant global energy policies. The work begins with an overview of Energy Technologies for a Sustainable Future, which examines the correlation between population, economy and energy consumption in the past, and reviews the conventio…
This book, along with its companion volume, Nonlinear Dynamics New Directions: Theoretical Aspects, covers topics ranging from fractal analysis to very specific applications of the theory of dynamical systems to biology. This second volume contains mostly new applications of the theory of dynamical systems to both engineering and biology. The first volume is devoted to fundamental aspects and i…
This book integrates multiple criteria concepts and methods for problems within the Risk, Reliability and Maintenance (RRM) context. The concepts and foundations related to RRM are considered for this integration with multicriteria approaches. In the book, a general framework for building decision models is presented and this is illustrated in various chapters by discussing many different decis…
This book discusses the links between the basis of motivational, leadership and curricular constructs with regards to 21st century and net-generation learning. It brings together recent developments in motivation, educational leadership and curriculum design in order to offer a better understanding of what is already known and what is yet to be explored in these fields. It consists of a collect…
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Erratic or irregular movements, which we call unpredictable or random, occur spontaneously and are essential part of microscopic and macroscopic worlds. When superimposed to the predictable movements, they make up the random fluctuations sometimes called noise. Heat and temperature are macroscopic manifestations of these fluctuations at the microscopic level, and statistical physics constit…
This book reports the latest findings on intelligent energy management of Internet data centers in smart-grid environments. The book gathers novel research ideas in Internet data center energy management, especially scenarios with cyber-related vulnerabilities, power outages and carbon emission constraints. The book will be of interest to university researchers, R&D engineers and graduate stude…
This book investigates energy management approaches for energy efficient or energy-centric system design and architecture and presents end-to-end energy management in the recent heterogeneous-type wireless network medium. It also considers energy management in wireless sensor and mesh networks by exploiting energy efficient transmission techniques and protocols. and explores energy management i…
The theory of probability and stochastic calculus has grown significantly since the publication of the first edition of this book. The theory of stochastic integration and semimartingales, a relatively recent development at the time of the first edition, is now a standard and significant part of the working mathematician’s toolkit. Concepts such as Backward SDEs, which were unheard of in 1…