Results 11 to 20 of about 242,143 (309)

Fractal asymptotics [PDF]

open access: yesPhysica D: Nonlinear Phenomena, 2004
Recent advances in the periodic orbit theory of stochastically perturbed systems have permitted a calculation of the escape rate of a noisy chaotic map to order 64 in the noise strength. Comparison with the usual asymptotic expansions obtained from integrals and with a previous calculation of the electrostatic potential of exactly selfsimilar fractal ...
Berry   +13 more
openaire   +4 more sources

Expectile asymptotics

open access: yesElectronic Journal of Statistics, 2016
We discuss in detail the asymptotic distribution of sample expectiles. First, we show uniform consistency under the assumption of a finite mean. In case of a finite second moment, we show that for expectiles other then the mean, only the additional assumption of continuity of the distribution function at the expectile implies asymptotic normality ...
Holzmann, H., Klar, B.
openaire   +5 more sources

Asymptotic freedom, asymptotic flatness and cosmology [PDF]

open access: yesJournal of Cosmology and Astroparticle Physics, 2013
Holographic RG flows in some cases are known to be related to cosmological solutions. In this paper another example of such correspondence is provided. Holographic RG flows giving rise to asymptotically-free $ $-functions have been analyzed in connection with holographic models of QCD.
Elias Kiritsis   +2 more
openaire   +5 more sources

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
doaj   +1 more source

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
doaj   +1 more source

Quicksort asymptotics [PDF]

open access: yesJournal of Algorithms, 2002
The number of comparisons X_n used by Quicksort to sort an array of n distinct numbers has mean mu_n of order n log n and standard deviation of order n. Using different methods, Regnier and Roesler each showed that the normalized variate Y_n := (X_n - mu_n) / n converges in distribution, say to Y; the distribution of Y can be characterized as the ...
James Allen Fill, Svante Janson
openaire   +2 more sources

Small deviations of iterated processes in space of trajectories [PDF]

open access: yes, 2012
We derive logarithmic asymptotics of probabilities of small deviations for iterated processes in the space of trajectories. We find conditions under which these asymptotics coincide with those of processes generating iterated processes.
AA Borovkov   +13 more
core   +1 more source

Uniform Approximation to the Solution of a Singularly Perturbed Boundary Value Problem with an Initial Jump

open access: yesMathematics, 2020
In this study, a third-order linear integro-differential equation with a small parameter at two higher derivatives was considered. An asymptotic expansion of the solution to the boundary value problem for the considered equation is constructed by ...
Assiya Zhumanazarova, Young Im Cho
doaj   +1 more source

On the cardinality of layers in some partially ordered sets

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2020
In this paper, we explicitly calculated additional terms of cardinality asymptotics of layers in the n-dimensional k-valued lattice Enk for odd k as n → ∞. The main term had been previously determined by V.B.
T.V. Andreeva, Yu.S. Semenov
doaj   +1 more source

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
doaj   +1 more source

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