springer basel birkhäuser basel birkhäuser jul 1999 (5 résultats)

Buch. Etat : Neu. Neuware -Brauer had already introduced the defect of a block and opened the way towards a classification by solving all the problems in defects zero and one, and by providing some evidence for the finiteness of the set of blocks with a given defect. In 1959 he discovered the defect group, and in 1964 Dade determined the blocks with cyclic defect groups.In 1978 Alperin and Broué discovered the Brauer category, and Broué and the author determined the blocks having a nilpotent Brauer category. In 1979, the author discovered the source algebra which determines all the other current invariants, representing faithfully the block ¿ and found its structure in the nilpotent blocks. Recently, the discovery by Rickard that all blocks with the same cyclic defect group and the same Brauer category have the same homotopic category focussed great interest on the new, loose relationship between blocks called Rickard equivalence.This book describes the source algebra of a block from the source algebra of a Rickard equivalent block and the source of the Rickard equivalence. 276 pp. Englisch.

Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -'A Crash Course in Mathematica' is a compact introduction to the program Mathematica, which is widely used in mathematics, as well as in the natural and engineering sciences. 200 pp. Englisch.

Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In these lectures, we give an account of certain recent developments of the theory of spatial branching processes. These developments lead to several fas cinating probabilistic objects, which combine spatial motion with a continuous branching phenomenon and are closely related to certain semilinear partial dif ferential equations. Our first objective is to give a short self-contained presentation of the measure valued branching processes called superprocesses, which have been studied extensively in the last twelve years. We then want to specialize to the important class of superprocesses with quadratic branching mechanism and to explain how a concrete and powerful representation of these processes can be given in terms of the path-valued process called the Brownian snake. To understand this representation as well as to apply it, one needs to derive some remarkable properties of branching trees embedded in linear Brownian motion, which are of independent interest. A nice application of these developments is a simple construction of the random measure called ISE, which was proposed by Aldous as a tree-based model for random distribution of mass and seems to play an important role in asymptotics of certain models of statistical mechanics. We use the Brownian snake approach to investigate connections between super processes and partial differential equations. These connections are remarkable in the sense that almost every important probabilistic question corresponds to a significant analytic problem. 163 pp. Englisch.

Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -To start with we describe two applications of the theory to be developed in this monograph: Bernoulli's free-boundary problem and the plasma problem. Bernoulli's free-boundary problem This problem arises in electrostatics, fluid dynamics, optimal insulation, and electro chemistry. In electrostatic terms the task is to design an annular con denser consisting of a prescribed conducting surface 80. and an unknown conduc tor A such that the electric field 'Vu is constant in magnitude on the surface 8A of the second conductor (Figure 1.1). This leads to the following free-boundary problem for the electric potential u. -~u 0 in 0. A, u 0 on 80., u 1 on 8A, 8u Q on 8A. 811 The unknowns are the free boundary 8A and the potential u. In optimal in sulation problems the domain 0. A represents the insulation layer. Given the exterior boundary 80. the problem is to design an insulating layer 0. A of given volume which minimizes the heat or current leakage from A to the environment ]R.n n. The heat leakage per unit time is the capacity of the set A with respect to n. Thus we seek to minimize the capacity among all sets A c 0. of equal volume. 163 pp. Englisch.

Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Apoptosis is a form of cell death that occurs in a controlled manner and is generally noninflammatory in nature. Apoptosis, or programmed cell death, implies a cell death that is part of a normal physiological process of pruning of unneeded cells. However, many disease conditions utilize apoptosis for pathological ends, resulting in inappropriate cell death and tissue destruction. This book starts with an introduction that reviews the general characteristics of apoptosis, its regulation and its role in physiology and disease. Next, the book focuses on three areas as they relate to inflammatory cells and diseases. The first area consists of chapters on signals for apoptosis important to inflammatory cells, namely growth factors and arachidonic acid metabolism. The next area that the book focuses on are effects at the cellular level, on cell survival versus cell death and signals critical for cell function in both normal and disease states. These topics are covered in chapters on lymphocytes, granulocytes, chondrocytes and keratinocytes. The last area that the book focuses on are events at the level of tissue and disease, looking at the evidence for altered apoptosis and/or apoptotic processes in immune and inflammatory diseases. These topics are covered in chapters on rheumatoid arthritis, osteoarthritis, lupus, psoriasis and renal disease. Together, these chapters will provide the reader with the latest insight in the role of apoptosis in inflammatory cells and diseases. This book starts with an introduction that reviews the general characteristics of apoptosis, its regulation and its role in physiology and disease. Next, the book focuses on three areas as they relate to inflammatory cells and diseases. The first area consists of chapters on signals for apoptosis important to inflammatory cells, namely growth factors and arachidonic acid metabolism. The next area that the book focuses on are effects at the cellular level, on cell survival versus cell death and signals critical for cell function in both normal and disease states. These topics are covered in chapters on lymphocytes, granulocytes, chondrocytes and keratinocytes. The last area that the book focuses on are events at the level of tissue and disease, looking at the evidence for altered apoptosis and/or apoptotic processes in immune and inflammatory diseases. These topics are covered in chapters on rheumatoid arthritis, osteoarthritis, lupus, psoriasis and renal disease. Together, these chapters will provide the reader with the latest insight in the role of apoptosis in inflammatory cells and diseases. 244 pp. Englisch.