Operator Functions and Localization of Spectra is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds for the spectra of integral, differential and integro-differential operators, as well as finite and infinite matrices are established. The volume also presents a systematic exposition of estimates for norms of operator-valued functions and their applications.
Operator Functions and Localization of Spectra is the first book that presents a systematic exposition of bounds for the spectra o...
Polymer chains that interact with themselves and/or their environment display a range of physical and chemical phenomena. This text focuses on the mathematical description of some of these phenomena, offering a mathematical panorama of polymer chains.
Polymer chains that interact with themselves and/or their environment display a range of physical and chemical phenomena. This text focuses on the ...
Calabi-Yau manifolds have been an object of extensive research during the last two decades. One of the reasons is the importance of Calabi-Yau 3-manifolds in modern physics - notably string theory. An interesting class of Calabi-Yau manifolds is given by those with complex multiplication (CM). Calabi-Yau manifolds with CM are also of interest in theoretical physics, e. g. in connection with mirror symmetry and black hole attractors. It is the main aim of this book to construct families of Calabi-Yau 3-manifolds with dense sets of ?bers with complex multiplication. Most - amples in this book...
Calabi-Yau manifolds have been an object of extensive research during the last two decades. One of the reasons is the importance of Calabi-Yau 3-manif...
Stable Levy processes and related stochastic processes play an important role in stochastic modelling in applied sciences, in particular in financial mathematics. This book is about the potential theory of stable stochastic processes. It also deals with related topics, such as the subordinate Brownian motions (including the relativistic process) and Feynman-Kac semigroups generated by certain Schrodinger operators. The authors focus on classes of stable and related processes that contain the Brownian motion as a special case.
This is the first book devoted to the probabilistic...
Stable Levy processes and related stochastic processes play an important role in stochastic modelling in applied sciences, in particular in financi...
The tradition of specialized courses in the Seminaires de Probabilites is continued with A. Lejay's Another introduction to rough paths. Other topics from this 42nd volume range from the interface between analysis and probability to special processes, Levy processes and Levy systems, branching, penalization, representation of Gaussian processes, filtrations and quantum probability.
The tradition of specialized courses in the Seminaires de Probabilites is continued with A. Lejay's Another introduction to rough paths. Other topics ...
This monograph is an introduction to some aspects of stochastic analysis in the framework of normal martingales, in both discrete and continuous time. The text is mostly self-contained, except for Section 5.7 that requires some background in geometry, and should be accessible to graduate students and researchers having already received a basic training in probability. Prereq- sites are mostly limited to a knowledge of measure theory and probability, namely?-algebras, expectations, andconditionalexpectations.Ashortint- duction to stochastic calculus for continuous and jump processes is given...
This monograph is an introduction to some aspects of stochastic analysis in the framework of normal martingales, in both discrete and continuous time....
This overview is based on the talk 101] given at the mini-workshop 0648c Dirac operators in di?erential and non-commutative geometry, Mat- matisches Forschungsinstitut Oberwolfach. Intended for non-specialists, it explores the spectrum of the fundamental Dirac operator on Riemannian spin manifolds, including recent research and open problems. No background in spin geometry is required; nevertheless the reader is assumed to be fam- iar with basic notions of di?erential geometry (manifolds, Lie groups, vector and principal bundles, coverings, connections, and di?erential forms). The surveys ...
This overview is based on the talk 101] given at the mini-workshop 0648c Dirac operators in di?erential and non-commutative geometry, Mat- matisches ...
A self-contained exposition of the theory of plane Cremona maps, this reference text reviews the classical theory and generalizes a number of classical results by allowing any configuration of singularities for the base points of the plane Cremona maps.
A self-contained exposition of the theory of plane Cremona maps, this reference text reviews the classical theory and generalizes a number of classica...
Written for readers with knowledge in mathematical finance and elementary stochastic analysis, this research monograph has threefold aims: to bring together estimation methods and factor models for interest rates, to provide appropriate consistency conditions and to explore some important examples.
Written for readers with knowledge in mathematical finance and elementary stochastic analysis, this research monograph has threefold aims: to bring to...
