Calculation of the free energy in a simple model
Carcassonne -- description of the game
This article formalizes some aspects of the board game Carcassonne. Combinatorical problems related to the number of tile types are mentioned. Then the paper describes a game map using graph theory.
Categorial methods in topology
Cauchy's problem in the large for nonlinear hyperbolic equations and for the Korteweg-de Vries equation
Cayley transform, outer exponential and spinor norm
CEDRICS: When CEDRAM Meets Tralics
We describe CEDRICS, a general purpose system for automated journal production entirely based on a LaTeX input format. We show how the very basic ideas that initiated the whole effort turned into an efficient system because of the ability of LaTeX markup to parametrise simultaneously and without compromise high typographical quality for the PDF output as well as accurate XML metadata with (presentation) MathML formulas. This was made possible by the availability of two entirely independent LaTeX...
Cells of harmonicity
[For the entire collection see Zbl 0742.00067.]We are interested in partial differential equations on domains in . One of the most natural questions is that of analytic continuation of solutions and domains of holomorphy. Our aim is to describe the domains of holomorphy for solutions of the complex Laplace and Dirac equations. We call them cells of harmonicity. We deduce their properties mostly by examining geometrical properties of the characteristic surface (which is the same for both equations),...
Certaines classes de distributions quasi-analytiques au sens de S. Bernstein
Change-Point problems: approaches and applications.
Problems of making inferences about abrupt changes in the mechanism underlying a sequence of observations are considered in both retrospective and on-line contexts. Among the topics considered are the Lindisfarne scribes problem; switching straight lines; manoeuvering targets, and shifts of level or slope in linear time series models. Summary analyses of data obtained in studies of schizophrenic and kidney transplant patients are presented.
Characteristic classes for -bundles
The authors generalize a construction of Connes by defining for an -bundle over smooth manifold and a reduced cyclic cohomology class a sequence of de Rham cohomology classes . Here is a convenient algebra, defined by the authors, and is a locally trivial bundle with standard fibre a right finitely generated projective -module and bounded -modules homomorphisms as transition functions.
Characteristic classes of regular Lie algebroids – a sketch
The discourse begins with a definition of a Lie algebroid which is a vector bundle over a manifold with an -Lie algebra structure on the smooth section module and a bundle morphism which induces a Lie algebra morphism on the smooth section modules. If has constant rank, the Lie algebroid is called regular. (A monograph on the theory of Lie groupoids and Lie algebroids is published by K. Mackenzie [Lie groupoids and Lie algebroids in differential geometry (1987; Zbl 0683.53029)].) A principal...
Characterization of Fourier-Stieltjes transforms of vector-valued measures
Characterization of one type of multisymplectic 3-forms in odd dimensions
Characters of the irreducible highest weight modules over the virasoro and super-virasoro algebras
Choquet simplices and Harnack inequalities
Circular vectors and toroidal matrices
Summary: Arrays of numbers may be written not only on a line (= ``a vector'') or in the plain (= ``a matrix'') but also on a circle (= ``a circular vector''), on a torus (= ``a toroidal matrix'') etc. In the latter case, the immanent index-rotation ambiguity converts the standard ``scalar'' product into a binary operation with several interesting properties.
Circumscribing convex sets
Classification of endomorphisms of some Lie algebroids up to homotopy and the fundamental group of a Lie algebroid
Classification of -homomorphisms between higher symplectic spinors
Clifford algebra with Reduce