Initially the theory of convergence in law of stochastic processes was developed quite independently from the theory of martingales, semimartingales and stochastic integrals. Apart from a few exceptions essentially concerning diffusion processes, it is only recently that the relation between the two theories has been thoroughly studied. The authors of this Grundlehren volume, two of the international leaders in the field, propose a systematic exposition of convergence in law for stochastic processes, from the point of view of semimartingale theory, with emphasis on results that are useful for...
Initially the theory of convergence in law of stochastic processes was developed quite independently from the theory of martingales, semimartingales a...
Lattices are discrete subgroups of maximal rank in a Euclidean space. To each such geometrical object, we can attach a canonical sphere packing which, assuming some regularity, has a density. The question of estimating the highest possible density of a sphere packing in a given dimension is a fascinating and difficult problem: the answer is known only up to dimension 3.
This book thus discusses a beautiful and central problem in mathematics, which involves geometry, number theory, coding theory and group theory, centering on the study of extreme lattices, i.e....
Lattices are discrete subgroups of maximal rank in a Euclidean space. To each such geometrical object, we can attach a canonical sphere packing whi...
Increasing amounts of various types of wastes and pollutants including nutrients enter the coastal waters via rivers, direct discharges from land drainage systems, diffuse land runoff, dumping and via the atmosphere. This has led to coastal eutrophication and in extreme cases to hypertrophication. Until recently, coastal eutrophication and the resulting effects on marine macrophytes were mainly treated as local short-term problems. However, the local nearshore problems developed into overall coastal and inshore phenomena, and recently we have been facing coastal eutrophication problems on a...
Increasing amounts of various types of wastes and pollutants including nutrients enter the coastal waters via rivers, direct discharges from land drai...
From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.
From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optim...
This book explores the theory of abelian varieties over the field of complex numbers, explaining both classic and recent results in modern language. The second edition adds five chapters on recent results including automorphisms and vector bundles on abelian varieties, algebraic cycles and the Hodge conjecture. ." . . far more readable than most . . . it is also much more complete." Olivier Debarre in Mathematical Reviews, 1994.
This book explores the theory of abelian varieties over the field of complex numbers, explaining both classic and recent results in modern language...
Some Historical Background This book deals with the cohomology of groups, particularly finite ones. Historically, the subject has been one of significant interaction between algebra and topology and has directly led to the creation of such important areas of mathematics as homo logical algebra and algebraic K-theory. It arose primarily in the 1920's and 1930's independently in number theory and topology. In topology the main focus was on the work ofH. Hopf, but B. Eckmann, S. Eilenberg, and S. MacLane (among others) made significant contributions. The main thrust of the early work here was to...
Some Historical Background This book deals with the cohomology of groups, particularly finite ones. Historically, the subject has been one of signific...
This book constitutes the refereed proceedings of the Second European Conference on Multimedia Applications, Services and Techniques, ECMAST'97, held in Milan, Italy, in May 1997. The volume presents 48 revised full papers selected from more than 120 submissions. The papers are organized in sections on multimedia networks evaluation, production of multimedia content, multimedia networks and protocols, content creation and integration, multimedia delivery, coded representation, multimedia services, multimedia servers, Internet and multimedia, trials, terminal architecture, and...
This book constitutes the refereed proceedings of the Second European Conference on Multimedia Applications, Services and Techniques, ECMAST'97, held ...
Aimed at analysts and numerical practitioners alike, this book contains everything from rigorous proofs to tables of numerical calculations. It is designed for those who wish to learn the subject matter starting from little or no background.
Aimed at analysts and numerical practitioners alike, this book contains everything from rigorous proofs to tables of numerical calculations. It is des...
This book, entitled Thin Films on Glass, is one of a series reporting on research and development activities on products and processes conducted by the Schott Group. The scientifically founded development of new products and technical pro- cesses has traditionally been of vital importance to Schott and has always been performed on a scale determined by the prospects for application of our special glasses. Since the reconstruction of the Schott Glaswerke in Mainz, the scale has increased enormously. The range of expert knowledge required could never have been supplied by Schott alone. It is...
This book, entitled Thin Films on Glass, is one of a series reporting on research and development activities on products and processes conducted by th...
