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Smoothed Analysis of the 2-Opt Heuristic for the TSP under Gaussian Noise. [PDF]
Künnemann M, Manthey B, Veenstra R.
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Kolmogorov Capacity with Overlap. [PDF]
Rangi A, Franceschetti M.
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On a Perturbation Theorem of Kaiser and Weis
The author answers a question of \textit{C.~Kaiser} and \textit{L.~Weis} [Semigroup Forum 67, No.~1, 63--75 (2003; Zbl 1046.47037)] concerning the strong continuity at \(t = 0\) of a semigroup generated by \(A+B\) on a Hilbert space \(X\), where \(A\) is the generator of a \(C_0\)-semigroup and \(B\) is some closed \(A\)-relatively bounded perturbation.
Charles J K Batty
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EXTENDED WEYL TYPE THEOREMS AND PERTURBATIONS
Mathematical Proceedings of the Royal Irish Academy, 2010Summary: In [\textit{M. Berkani} and \textit{H. Zariouh}, Math. Bohem. 134, No. 4, 369--378 (2009; Zbl 1211.47011)], we introduced the properties \((b)\) and \((gb)\), which are analogous of Browder and generalised Browder theorems. In this paper, we study the stability of properties \((b)\) and \((gb)\) under commutative perturbations by finite rank ...
Berkani, M., Zariouh, H.
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Some theorems on perturbation theory. Ill
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1950Abstract The behaviour of the spectrum of the differential equation d2ɸ/dx2 + {λ - q(x) - ϵσ(x)} ɸ = 0 is considered in the case where the unperturbed spectrum is discrete and the perturbed spectrum is continuous. An example is given to show what meaning can be attached to the classical perturbation formula in this case.
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Theoremes ergodiques perturbes
Israel Journal of Mathematics, 1997We obtain results on almost sure convergence of ergodic averages along arithmetic subsequences perturbed by independent identically distributed random variables having apth finite moment for somep>0. To prove these results, we use methods based on the harmonic analysis and the theory of Gaussian processes.
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Weyl’s Theorem and Perturbations
Integral Equations and Operator Theory, 2005In the present paper we examine the stability of Weyl’s theorem under perturbations. We show that if T is an isoloid operator on a Banach space, that satisfies Weyl’s theorem, and F is a bounded operator that commutes with T and for which there exists a positive integer n such that F n is ...
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Perturbations theorems for periodic surfaces II
Rendiconti del Circolo Matematico di Palermo, 1961This paper is a continuation of Article which appeared in the previous issue of this journal. We present here the proofs of the main theorems stated in part I.
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