This is yet another indispensable volume for all probabilists and collectors of the Saint-Flour series, and is also of great interest for mathematical physicists. It contains two of the three lecture courses given at the 32nd Probability Summer School in Saint-Flour (July 7-24, 2002). Tsirelson's lectures introduce the notion of nonclassical noise produced by very nonlinear functions of many independent random variables, for instance singular stochastic flows or oriented percolation. Werner's contribution gives a survey of results on conformal invariance, scaling limits and properties of...
This is yet another indispensable volume for all probabilists and collectors of the Saint-Flour series, and is also of great interest for mathemati...
This book includes a selection of twelve carefully revised papers chosen from the papers accepted for presentation at the 4th IEEE/Nagoya-University World Wisepersons Workshop held in Nagoya in November 1995. The combining of the technologies of fuzzy logic, neural networks, and evolutionary computation is expected to open up a new paradigm of machine learning for the realization of human-like information generating systems. The excellent papers presented are organized in sections on fuzzy and evolutionary computation, fuzzy and learning automata, fuzzy and neural networks, genetic...
This book includes a selection of twelve carefully revised papers chosen from the papers accepted for presentation at the 4th IEEE/Nagoya-University W...
With the mankind's strong dependance upon the use of pesticides in mind, this volume reviews the research on the topic and examines the implications of these findings for delaying or avoiding the development of resistance in plants to agrochemicals.
With the mankind's strong dependance upon the use of pesticides in mind, this volume reviews the research on the topic and examines the implications o...
Local Newforms for GSp(4) describes a theory of new- and oldforms for representations of GSp(4) over a non-archimedean local field. This theory considers vectors fixed by the paramodular groups and singles out certain vectors that encode canonical information, such as L-factors and epsilon-factors, through their Hecke and Atkin-Lehner eigenvalues. An appendix includes extensive tables about the results and the representations theory of GSp(4).
Local Newforms for GSp(4) describes a theory of new- and oldforms for representations of GSp(4) over a non-archimedean local field. This theory con...
Progress in computer animation is such that soon computer-generated faces on screen will be indistinguishable from those of real humans. These faces and figures must be guided by autonomous personality agents. This book presents research and developments making synthetic actors more autonomous.
Progress in computer animation is such that soon computer-generated faces on screen will be indistinguishable from those of real humans. These faces a...
These notes deal with deformation theory of complex analytic singularities and related objects.
The first part treats general theory. The central notion is that of versal deformation in several variants. The theory is developed both in an abstract way and in a concrete way suitable for computations.
The second part deals with more specific problems, specially on curves and surfaces. Smoothings of singularities are the main concern.
Examples are spread throughout the text.
These notes deal with deformation theory of complex analytic singularities and related objects.
This introduction to the recent theory of abstract tubes describes the framework for establishing improved inclusion-exclusion identities and Bonferroni inequalities, which are provably at least as sharp as their classical counterparts while involving fewer terms. All necessary definitions from graph theory, lattice theory and topology are provided. The role of closure and kernel operators is emphasized, and examples are provided throughout to demonstrate the applicability of this new theory. Applications are given to system and network reliability, reliability covering problems and...
This introduction to the recent theory of abstract tubes describes the framework for establishing improved inclusion-exclusion identities and Bonfe...
The Morse-Sard theorem is a rather subtle result and the interplay between the high-order analytic structure of the mappings involved and their geometry rarely becomes apparent. The main reason is that the classical Morse-Sard theorem is basically qualitative. This volume gives a proof and also an explanation of the quantitative Morse-Sard theorem and related results, beginning with the study of polynomial (or tame) mappings. The quantitative questions, answered by a combination of the methods of real semialgebraic and tame geometry and integral geometry, turn out to be nontrivial and highly...
The Morse-Sard theorem is a rather subtle result and the interplay between the high-order analytic structure of the mappings involved and their geomet...
The book contains the first systematic exposition of the current known theory of K-loops, as well as some new material. In particular, big classes of examples are constructed. The theory for sharply 2-transitive groups is generalized to the theory of Frobenius groups with many involutions. A detailed discussion of the relativistic velocity addition based on the author's construction of K-loops from classical groups is also included. The first chapters of the book can be used as a text, the later chapters are research notes, and only partially suitable for the classroom. The style is concise,...
The book contains the first systematic exposition of the current known theory of K-loops, as well as some new material. In particular, big classes of ...
Around 1994 R. Borcherds discovered a new type of meromorphic modular form on the orthogonal group $O(2, n)$. These "Borcherds products" have infinite product expansions analogous to the Dedekind eta-function. They arise as multiplicative liftings of elliptic modular forms on $(SL)_2(R)$. The fact that the zeros and poles of Borcherds products are explicitly given in terms of Heegner divisors makes them interesting for geometric and arithmetic applications. In the present text the Borcherds' construction is extended to Maass wave forms and is used to study the Chern classes of Heegner...
Around 1994 R. Borcherds discovered a new type of meromorphic modular form on the orthogonal group $O(2, n)$. These "Borcherds products" have infinite...
