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In this paper, we will discuss the mixed boundary value problems for the second order elliptic equation with rapidly oscillating coefficients in perforated domains, and will present the higher-order...
We show that several different ways to quantify the asymptotic expansion of a non-degenerate smooth interval map coincide. A consequence is an extension to multimodal maps of the remarkable result of ...
Abstract: We prove the existence of a 1/N expansion to all orders in beta matrix models with a confining, off-critical potential corresponding to an equilibrium measure with a connected support. Thus,...
We establish the relation between two objects: an integrable system related to Painlev´e II equation, and the symplectic invariants of a certain plane curve TW. This curve describes the average...
We present an algorithm that reveals relevant contributions in non-threshold-type asymptotic expansion of Feynman integrals about a small parameter. It is shown that the problem reduces to finding a c...
An asymptotic formula for the sum of the first n primes is derived. This result improves the previous results of P. Dusart. Using this asymptotic expansion, we prove the conjectures of R. Mandl and G...
In this paper we discuss the basket options valuation for a jump-diffusion model. The underlying asset prices follow some correlated local volatility diffusion processes with systematic jumps. We deri...
Asymptotic Expansion of the Equipoise Curve of a Polynomial Inequality.
2006Vol.45No.6pp.979-984DOI: Conformal Invariant Asymptotic Expansion Approach for Solving (3+1)-Dimensional JM Equation LI Zhi-Fang1 and RUAN Hang-Yu1,2,3 1 Department ...
We study the asymptotic of the Bergman kernel of the spinc Dirac operator on high tensor powers of a line bundle.

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