Sur les sections anti-parallèles
Different types of uniqueness (e.g. pathwise uniqueness, uniqueness in law, joint uniqueness in law) and existence (e.g. strong solution, martingale solution) for stochastic evolution equations driven by a Wiener process are studied and compared. We show a sufficient condition for a joint distribution of a process and a Wiener process to be a solution of a given SPDE. Equivalences between different concepts of solution are shown. An alternative approach to the construction of the stochastic integral...
[For the entire collection see Zbl 0699.00032.] A fibration is called totally noncohomologuous to zero (TNCZ) with respect to the coefficient field k, if is surjective. This is equivalent to saying that acts trivially on and the Serre spectral sequence collapses at . S. Halperin conjectured that for and F a 1-connected rationally elliptic space (i.e., both and are finite dimensional) such that vanishes in odd degrees, every fibration is TNCZ. The author proves this being the case...
This paper contains an announcement of a result, which settles the connection between various algebraic models for rational homotopy theory: the models of Quillen, Sullivan and Adams-Hilton-Anick. It is shown how this result, combined with a recent result of Anick, implies a conjecture of and [Math. Ann. 225, 219-245 (1977; Zbl 0322.55019)].We describe in some detail the construction of these models (Section 1). We present a variant of the Adams-Hilton model, which is defined in a natural way...
[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),...
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