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This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.

Spectral Theory · Mathematics 2007-05-23 Raphael Ponge

There is a serious flaw in the proposal [arXiv:1603.06857] for the achievement of unity efficiency in SPDC. This is a replacement due to mistakes in the table of probabilities. Numbers have been corrected.

Quantum Physics · Physics 2017-08-02 M. K. Olsen

In various analytical contexts, it is proved that a weak Sobolev inequality implies a doubling property for the underlying measure.

Analysis of PDEs · Mathematics 2014-06-10 Lyudmila Korobenko , Diego Maldonado , Cristian Rios

We withdraw this paper due to insufficient arguments in the derivation of Theorem 1. See quant-ph/0005062 for the new paper

Quantum Physics · Physics 2007-05-23 Barbara M. Terhal

There are some inaccuracies and errors in my article "Dual and almost-dual homogeneous spaces". Here I will describe in detail how to correct incorrect statements from this article and which statements there will have to be reformulated in…

Rings and Algebras · Mathematics 2020-07-29 Vladimir Gorbatsevich

It is a correction paper on "P.J. Wan and C.W. Yi, "Coverage by Randomly Deployed Wireless Sensor Networks", IEEE Transaction On Information Theory, vol.52, No.6, June 2006." In the above paper, Lemma (4), on page 2659 play the key role for…

Information Theory · Computer Science 2009-04-23 Bhupendra Gupta

This paper has been withdrawn by the author due to an error in the proof of Proposition 4.8.

Geometric Topology · Mathematics 2008-10-14 Christian Wegner

We discuss the (twisted) weak positivity theorem. We also treat some applications.

Algebraic Geometry · Mathematics 2015-07-03 Osamu Fujino

In this paper, we intend to revisit Theorem 2 of [3] formulating it in a way that, weakening the hypotheses and, at the same time, highlighting the richer conclusion allowed by the proof, it can potentially be applicable to a broader range…

Functional Analysis · Mathematics 2013-10-30 Biagio Ricceri

The paper is being withdrawn. A new submission will follow.

High Energy Physics - Theory · Physics 2007-05-23 Shyamoli Chaudhuri

In this note, we correct an oversight from the paper mentioned in the title.

Number Theory · Mathematics 2011-12-15 José María Grau , Florian Luca

Processing information, acquired by subjective assessments, involves inconsistency analysis in most (if not all) applications of which some are of considerable importance at a national level (see, Koczkodaj/Kulakowski/Ligenza,…

Discrete Mathematics · Computer Science 2015-08-06 W. W. Koczkodaj , J. Szybowski

We correct a statement of a theorem on characterisation of the (c)-regularity we gave in Topology 37 (1998), 45--62. This theorem was used in the paper in the proof of two theorems on the (c)-regular stratification. In this note we give a…

Algebraic Geometry · Mathematics 2021-12-06 Karim Bekka , Satoshi Koike

The paper has been withdrawn by the author due an error in the proof of Theorem 3.2.

Geometric Topology · Mathematics 2007-05-23 Francesco Costantino

These are the revised notes of my lectures at the 1995 Santa Cruz summer institute. Changes from the Jan.26,1996 version: Major: 7.1--2; Medium: 3.7, 3.11, 5.3.3, 7.9.2, 9.8.

alg-geom · Mathematics 2008-02-03 János Kollár

In this note, we give the possible revised version of the unique solvability conditions for the two incorrect results that appeared in the published paper by Wu et al. (Appl Math Lett 76:195-200, 2018).

Functional Analysis · Mathematics 2023-09-27 Shubham Kumar , Deepmala

This paper has been withdrawn by the author due to a critical error in the proof of Theorem A pointed out by Burkhard Wilking.

Differential Geometry · Mathematics 2008-04-04 Corey A. Hoelscher

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

Number Theory · Mathematics 2007-05-23 Tomohiro Yamada

The main purpose of this paper is to correct an error in the previously submitted version [*] := arXiv:2004.13749v1. [*] had been already accepted for publication in a scientific journal, but withdrawn by the author after the discovery of…

Probability · Mathematics 2020-11-05 F. Thomas Bruss

This paper has been withdrawn, not because of any errors (that we know of), but because rather than presenting our material as a series of 3 papers, as we originally intended, we have now combined them into one long paper, which is "A…

Algebraic Geometry · Mathematics 2009-06-02 Dominic Joyce , Yinan Song
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