Geometric asymptotics and beyond

Einstein's Equation and Geometric Asymptotics. *

Weak Dependence beyond Mixing and Asymptotics for Nonparametric Regression

Asymptotics beyond All Orders for a Low Reynolds Number Flow

The solution for slow incompressible ow past a circular cylinder involves terms in powers of 1= log , times powers of 1= log , etc., where is the Reynolds number. Previously we showed how to determine the sum of all terms in powers of 1= log. Now we show how to go beyond all those terms to nd the sum of all terms containing times a power of 1= log. The rst sum gives the drag coeecient and repre...

Asymptotics of Orthogonal Polynomials beyond the Scope of Szegő’s Theorem

First we give here a simple proof of a remarkable result of Videnskii and Shirokov: let B be a Blaschke product with n zeros, then there exists an outer function φ, φ(0) = 1, such that ‖(Bφ)′‖ ≤ Cn, where C is an absolute constant. Then we apply this result to a certain problem of finding the asymptotic of orthogonal polynomials.

Quantales as geometric objects: symmetry beyond groupoids?

Modern mathematics has become pervaded by the idea that in order to cater for certain notions of symmetry, in particular of a local nature, one needs to go beyond group theory, replacing groups by groupoids. A nice survey of some implications of this idea in algebra, geometry, and analysis (as of 1996) can be found in [19]. The same idea can be expressed in terms of pseudogroups, which provide ...