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Probability Theory
This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety of topics which are not usually found in introductory textbooks, including: • limit theorems for sums of random variables • martingales • percolation • Markov chains and electrical networks • construction of stochastic processes • Poisson point process and infinite divisibility • large deviation principles and statistical physics • Brownian motion • stochastic integral and stochastic differential equations. The theory is developed rigorously and in a self-contained way, with the chapters on measure theory interlaced with the probabilistic chapter...
Principles of Integrated Airborne Avionics
This book discusses the principles, approaches, concepts and development programs for integrated aircraft avionics. The functional tasks of integrated on-board radio electronic equipment (avionics) of navigation, landing, data exchange and air traffic control are formulated that meet the modern requirements of civil and military aviation, and the principles of avionics integration are proposed. The modern approaches to the joint processing of information in navigation and landing complexes are analyzed. Algorithms of multichannel information processing in integrated avionics are considered, and examples of its implementation are presented. This book is intended for scientists and professionals in the field of aviation equipment, students and graduate students of relevant specialties.
Tchebycheff Systems
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The Problem of Moments
The book was first published in 1943 and then was reprinted several times with corrections. It presents the development of the classical problem of moments for the first 50 years, after its introduction by Stieltjes in the 1890s. In addition to initial developments by Stieltjes, Markov, and Chebyshev, later contributions by Hamburger, Nevanlinna, Hausdorff, Stone, and others are discussed. The book also contains some results on the trigonometric moment problem and a chapter devoted to approximate quadrature formulas.
Stochastic Processes with Applications
This book develops systematically and rigorously, yet in an expository and lively manner, the evolution of general random processes and their large time properties such as transience, recurrence, and convergence to steady states. The emphasis is on the most important classes of these processes from the viewpoint of theory as well as applications, namely, Markov processes. The book features very broad coverage of the most applicable aspects of stochastic processes, including sufficient material for self-contained courses on random walks in one and multiple dimensions; Markov chains in discrete and continuous times, including birth-death processes; Brownian motion and diffusions; stochastic optimization; and stochastic differential equations. This book is for graduate students in mathematics, statistics, science and engineering, and it may also be used as a reference by professionals in diverse fields whose work involves the application of probability.
Ecology and Management of Giant Hogweed (Heracleum Mantegazziannum)
The Giant Hogweed Heracleum mantegazzianum is a pernicious invasive species, with significant impact on human health due to its phytoxic sap. From its native area, the Caucasus, it has spread across Europe creating serious environmental and health problems. This book, the output of a three-year EU project involving 40 European experts, is an authoritative compendium of current knowledge on this amazing invasive plant and will facilitate improved management. It is an invaluable resource for both practitioner and student, and covers topics including taxonomy, genetics, reproduction, population ecology, and invasion dynamics. It also reviews the possibilities of mechanical, chemical and biological control.
A Second Course in Stochastic Processes
This Second Course continues the development of the theory and applications of stochastic processes as promised in the preface of A First Course. We emphasize a careful treatment of basic structures in stochastic processes in symbiosis with the analysis of natural classes of stochastic processes arising from the biological, physical, and social sciences.
Fractal Geometry and Stochastics II
A collection of contributions by outstanding mathematicians, highlighting the principal directions of research on the combination of fractal geometry and stochastic methods. Clear expositions introduce the most recent results and problems on these subjects and give an overview of their historical development.
