منابع مشابه
On the asymptotics of Kronecker coefficients, 2
Kronecker coefficients encode the tensor products of complex irreducible representations of symmetric groups. Their stability properties have been considered recently by several authors (Vallejo, Pak and Panova, Stembridge). In [3] we described a geometric method, based on Schur-Weyl duality, that allows to produce huge series of instances of this phenomenon. In this note we show how to go beyo...
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This paper studies the coefficients of algebraic functions. First, we recall the too-little-known fact that these coefficients fn have a closed form. Then, we study their asymptotics, known to be of the type fn ∼ CAn. When the function is a power series associated to a context-free grammar, we solve a folklore conjecture: the appearing critical exponents α can not be 1/3 or −5/2, they in fact b...
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Let ∑ n∈Nd fnx n be a multivariate generating function that converges in a neighborhood of the origin of Cd. We present a general theorem for computing the asymptotics of the diagonal coefficients fa1n,...,adn.
متن کاملAutomatic asymptotics for coefficients of smooth, bivariate rational functions
We consider a bivariate rational generating function F (x, y) = P (x, y) Q(x, y) = ∑ r,s≥0 arsx y under the assumption that the complex algebraic curve V on which Q vanishes is smooth. Formulae for the asymptotics of the coefficients {ars} are derived in [PW02]. These formulae are in terms of algebraic and topological invariants of V, but up to now these invariants could be computed only under ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1999
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.533000