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Asymptotic expansion of holonomy [PDF]

open access: yesForum Mathematicum, 2018
International audienceAbstract Given a principal bundle with a connection, we look for an asymptotic expansion of the holonomy of a loop in terms of its length. This length is defined relative to some Riemannian or sub-Riemannian structure.
Grong, Erlend, Pansu, Pierre
core   +4 more sources

A Uniform Asymptotic Expansion for Krawtchouk Polynomials

open access: yesJournal of Approximation Theory, 2000
We study the asymptotic behavior of the Krawtchouk polynomial K(N)n(x; p, q) as n→∞. With x≡λN and ν=n/N, an infinite asymptotic expansion is derived, which holds uniformly for λ and ν in compact subintervals of (0, 1).
Li, X.-C., Wong, R.
exaly   +2 more sources

On asymptotic expansion of posterior distribution [PDF]

open access: yesLobachevskii Journal of Mathematics, 2016
© 2016, Pleiades Publishing, Ltd.The paper suggests a new asymptotic expansion of posterior distribution, which improves the known normal asymptotic.
A A Zaikin
exaly   +1 more source

Pre-asymptotic Expansions

open access: yesJournal of Mathematical Analysis and Applications, 1996
Let \(\{V_n\}\) be a sequence of vector spaces with \(V_{n + 1} \subseteq V_n\) for \(n = 0,1,2, \dots\). A series \(\sum^\infty_{n = 0} v_n\) with \(v_n \in V_n\) is called a pre-asymptotic expansion of \(v \in V_0\), written \(v \sim \sum^\infty_{n = 0} v_n\) with respect to \(\{V_n\}\), if \(v - \sum^N_{n = 0} v_n \in V_{N + 1}\) for all \(N ...
Durán, A.L., Estrada, R., Kanwal, R.P.
openaire   +2 more sources

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