Translation invariance and finite additivity in a probability measure on the natural numbers.
The fundamental theorems of curves and hypersurfaces in centro-affine geometry.
Rate of growth of polynomials not vanishing inside a circle.
Spectral analysis of long wavelength periodic waves and applications.
Control structures
We define an extension of the classical notion of a control system which we call a control structure. This is a geometric structure which can be defined on manifolds whose underlying topology is more complicated than that of a domain in . Every control structure turns out to be locally representable as a classical control system, but our extension has the advantage that it has various naturality properties which the (classical) coordinate formulation does not, including the existence of so-called...
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