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This work is about random measures stationary with respect to a possibly non-transitive group action. It contains chapters on Palm Theory, the Mass-Transport Principle and Ergodic Theory for such random measures. The thesis ends with discussions of several new models in Stochastic Geometry (Cox Delauney mosaics, isometry stationary random partitions on Riemannian manifolds). These make crucial use of the previously developed techniques and objects.
Over the last forty years there has been a growing interest to extend probability theory and statistics and to allow for more flexible modelling of imprecision, uncertainty, vagueness and ignorance. The fact that in many real-life situations data uncertainty is not only present in the form of randomness (stochastic uncertainty) but also in the form of imprecision/fuzziness is but one point underlining the need for a widening of statistical tools. Most such extensions originate in a "softening" of classical methods, allowing, in particular, to work with imprecise or vague data, considering imprecise or generalized probabilities and fuzzy events, etc. About ten years ago the idea of establishi...
This Book Presents A Systematic Exposition Of The Fundamental Principles Involved In Plasma Mechanics. It Also Highlights Some Of The Recent Developments In The Area.The Book Emphasises The Following Topics: * Magnetization By Inverse Faraday Effect * Ionospheric Cross Modulation * Relativistic Vlasov Equations For Waves In Plasmas * Kinetic Theory Of Vlasov For Plasmoidal Equilibrium Structures * Formalism Of Transformation From Laboratory Frame To A Space Independent Frame For Study Of Dispersive Wave.With Its Comprehensive Approach And Detailed Treatment, The Book Would Serve As An Excellent Text For M.Sc. Physics Students As Well As Research Scholars.
Charge Sensitivity Analysis (CSA) represents a linear response treatment of molecular systems, based upon the chemical potential and hardness/softness concepts established within density functional theory (DFT). Recently, it has been shown to provide an attractive framework leading to novel approaches to chemical reactivity of open systems. The monograph presents the conceptual and methodological basis of the CSA covering its DFT roots, alternative resolutions and representations, sensitivities of closed and open atomic and molecular systems, charge stability criteria and relaxational effects due to the system environment, and alternative collective modes of charge redistribution. The CSA in...
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high ...