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Unfolding the high orders of asymptotic expansions with coalescing saddles: singularity theory, crossover and duality

Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1993
We study the leading behaviour of the late coefficients (high ordersr) of asymptotic expansions in a large parameterk, for contour integrals involving a cluster of coalescing saddles, and thereby establish the form of the divergence of the expansions.
Berry, MV, Howls, CJ
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Applications of Duality in the Theory of Finitely Generated Lattice-Ordered Abelian Groups

Canadian Journal of Mathematics, 1977
In a previous paper by the author [3], duality theorems for finitely generated vector lattices and lattice-ordered Abelian groups are described. In particular, the category of finitely generated semi-simple vector lattices is shown to be equivalent to a geometrical category V whose objects are topologically closed cones in Euclidean space, and whose ...
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Duality Theory and Transfers for Stochastic Order Relations

2013
In this paper it will be demonstrated how functional analytic tools from duality theory can be used to give interesting characterizations of stochastic order relations for discrete distributions in terms of mass transfer principles. A general result for a large class of integral stochastic orders will be derived, and it will be shown that this applies ...
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Fractional order thermo-viscoelastic theory of biological tissue with dual phase lag heat conduction model