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Asymptotics of several-partition Hurwitz numbers [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2011
We derive in this paper the asymptotics of several-partition Hurwitz numbers, relying on a theorem of Kazarian for the one-partition case and on an induction carried on by Zvonkine.
Marc Sage
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Uniform Asymptotics of Solutions of Second-Order Differential Equations with Meromorphic Coefficients in a Neighborhood of Singular Points and Their Applications

open access: yesMathematics, 2022
In this paper, we consider the problem of obtaining the asymptotics of solutions of differential operators in a neighborhood of an irregular singular point.
Maria V. Korovina, Hovik A. Matevossian
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Holographic RG flows on Squashed S 3

open access: yesJournal of High Energy Physics, 2022
Holographic RG flows dual to QFTs on a squashed S 3 are considered in the framework of Einstein dilaton gravity in four dimensions. A general dilaton potential is used and flows are driven by a scalar relevant operator.
E. Kiritsis, C. Litos
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Asymptotic behavior of the solution of the integral boundary value problem for singularly perturbed integro-differential equations

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2021
The work is devoted to clarifying asymptotic with respect to a small parameter behavior of the solution of the integral boundary value problem for singularly perturbed linear integro-differential equation.
N. Aviltay, M. Akhmet
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100 years of Weyl’s law

open access: yesBulletin of Mathematical Sciences, 2016
We discuss the asymptotics of the eigenvalue counting function for partial differential operators and related expressions paying the most attention to the sharp asymptotics.
Victor Ivrii
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THE LIMITS OF APPLICABILITY OF THE LINEARIZATION METHOD IN CALCULATING SMALL–TIME REACHABLE SETS

open access: yesUral Mathematical Journal, 2020
The reachable sets of nonlinear systems are usually quite complicated. They, as a rule, are non-convex and arranged to have rather complex behavior. In this paper, the asymptotic behavior of reachable sets of nonlinear control-affine systems on small ...
Mikhail I. Gusev
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Asymptotic Behavior of Solutions of Integral Equations with Homogeneous Kernels

open access: yesMathematics, 2022
The multidimensional integral equation of second kind with a homogeneous of degree (−n) kernel is considered. The special class of continuous functions with a given asymptotic behavior in the neighborhood of zero is defined.
Oleg Avsyankin
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Implied Volatility Structure in Turbulent and Long-Memory Markets

open access: yesFrontiers in Applied Mathematics and Statistics, 2020
We consider fractional stochastic volatility models that extend the classic Black–Scholes model for asset prices. The models are general and motivated by recent empirical results regarding the behavior of realized volatility. While such models retain the
Josselin Garnier, Knut Sølna
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The Saddle Point Method for the Integral of the Absolute Value of the Brownian Motion [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2003
The distribution function of the integral of the absolute value of the Brownian motion was expressed by L.Takács in the form of various series. In the present paper we determine the exact tail asymptotics of this distribution function.
Leonid Tolmatz
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Justification of the existence of a group of asymptotics of the general fifth Painlevé transcendent

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
There are several existing ways in developing the asymptotics of the Painlevé transcendents. But it is always a hard task to justify the existence of these asymptotics.
Youmin Lu, Zhoude Shao
doaj   +1 more source

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