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On the asymptotics of a Toeplitz determinant with singularities
the asymptotics of a Toeplitz determinant singularities Functional Analysis
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2012/6/25
We provide an alternative proof of the classical single-term asymptotics for Toeplitz determinants whose symbols possess Fisher-Hartwig singularities. We also relax the smoothness conditions on the re...
Some asymptotics for the Bessel functions with an explicit error term
Bessel function Airy function asymptotic error term zeros
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2011/9/1
Abstract: We show how one can obtain an asymptotic expression for some special functions satisfying a second order differential equation with a very explicit error term starting from appropriate upper...
Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model
Functional inequalities thick tails asymptotics
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2010/11/26
We investigate the long time behavior of the critical mass Patlak-Keller-Segel equation. This equation has a one parameter family of steady-state solutions ̺, λ > 0, with thick tails whose secon...
Asymptotics of ACH-Einstein metric
Partially integrable almost CR manifolds ACH metrics the Einstein equation
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2010/12/9
We study the boundary asymptotics of asymptotically complex hyperbolic (ACH) solution of the Einstein equation in terms of the induced partially integrable almost CR structure T1,0 on the boundary. On...