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We correct an error in the second part of Theorem 3 of our original paper (arXiv:1512.07161).

Differential Geometry · Mathematics 2017-01-02 Boris Kruglikov , Henrik Winther

Reply to Comment by Flenner and Szamel on our paper in Nature Physics 8, 164 (2012).

Disordered Systems and Neural Networks · Physics 2013-09-09 Walter Kob , Sandalo Roldan-Vargas , Ludovic Berthier

The analysis of defects and defect dynamics in crystalline materials is important for fundamental science and for a wide range of applied engineering. With increasing system size the analysis of molecular-dynamics simulation data becomes…

Computational Physics · Physics 2020-04-20 U. von Toussaint , F. J. Dominguez-Gutierrez , M. Compostella , M. Rampp

We present an optical aberration correction technique for ultracold quantum gas experiments which directly utilizes the quantum gas as a wavefront sensor. The direct use of the quantum gas enables correcting aberrations that are otherwise…

Quantum Gases · Physics 2024-04-26 Paul Hill , Philipp Lunt , Johannes Reiter , Maciej Galka , Philipp Preiss , Selim Jochim

We bring a precision to our cited work concerning the notion of "Borel measures", as the choice among different existing definitions impacts on the validity of the results.

Classical Analysis and ODEs · Mathematics 2015-03-19 Pascal Auscher , Tuomas Hytönen

Atomic vibrations in perfect, slightly defective or mixed crystals are to a large extent well understood since many decades. Theoretical descriptions are thus in excellent agreement with the experiments. As a consequence, phonon-related…

Disordered Systems and Neural Networks · Physics 2021-01-12 Benoit Rufflé , Marie Foret , Bernard Hehlen

The equations in cond-mat/0011020 and Phys. Rev, Lett. 86, 4652 (2001) are valid but a numerical estimate in the paper is incorrect.

Superconductivity · Physics 2009-11-07 C. M. Varma , Elihu Abrahams

Light-pulse atom interferometers rely on the wave nature of matter and its manipulation with coherent laser pulses. They are used for precise gravimetry and inertial sensing as well as for accurate measurements of fundamental constants.…

Quantum Physics · Physics 2015-12-02 Stephan Kleinert , Endre Kajari , Albert Roura , Wolfgang P. Schleich

Beam structure is one of the most widely used structures in mechanical engineering and civil engineering. Ultrasonic guided wave based crack identification is one of the most important and accepted approaches applied to detect unseen small…

Computational Engineering, Finance, and Science · Computer Science 2017-12-19 Shuaifang Zhang , Dongsheng Li , Wei Shen , Xiwen Zhang , Yu Liu

A new concept for the simultaneous detection of primary and secondary scintillation in time projection chambers is proposed. Its core element is a type of very-thick GEM structure supplied with transparent electrodes and machined from a…

Optical rotation, a form of optical activity, is a phenomenon employed in various metrological applications and industries including chemical, food, and pharmaceutical. In naturally-occurring, as well as structured media, the integrated…

We correct an important misprint in the journal version of our earlier work on "New Jet Cluster Algorithms: Next-to-leading Order QCD...", published in Nucl. Phys. B 370 (1992) 310, which may have lead to an incorrect parametrisation of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Bethke , Z. Kunszt , D. E. Soper , W. J. Stirling

Understanding structural glasses using the Random First Order Transition theory requires a description in both real space and in time, taking into account sample history. A variety of nonlinear objects enter this description, in field…

Disordered Systems and Neural Networks · Physics 2022-06-02 Peter G. Wolynes

We discuss the behavior of the default ``wavecal'' spectra obtained together with most STIS spectroscopic exposures, which are needed for proper wavelength calibration of the science data. Because the Pt/Cr-Ne lamps used for the wavecals…

Instrumentation and Methods for Astrophysics · Physics 2026-02-20 D. Welty , S. Lockwood

The original versions (1 and 2) of this paper paper contain a fatal error. All my attempts to patch the error have failed. As a service to the community I explain the error in some detail.

Quantum Physics · Physics 2015-06-03 Mladen Pavicic

The properties of the Gabor and Morlet transforms are examined with respect to the Fourier analysis of discretely sampled data. Forward and inverse transform pairs based on a fixed window with uniform sampling of the frequency axis can…

Data Analysis, Statistics and Probability · Physics 2013-07-23 Robert W. Johnson

This erratum remedies errors in the literature pertaining to the stable Adams conjecture. As part of the above corrections, we also identify and fix two errors in section 4 of our recent article on the subject. We thank E. Fridelander for…

Algebraic Topology · Mathematics 2026-02-25 Prasit Bhattacharya , Nitu Kitchloo

Strong turbulence conditions create amplitude aberrations through the effects of near-field diffraction. When integrated over long optical path lengths, amplitude aberrations (seen as scintillation) can nullify local areas in the recorded…

Instrumentation and Methods for Astrophysics · Physics 2020-12-30 Justin R. Crepp , Stanimir O. Letchev , Sam J. Potier , Joshua H. Follansbee , Nicholas T. Tusay

This paper is devoted to the algorithmic development of inverse elastic scattering problems. We focus on reconstructing the locations and shapes of elastic scatterers with known dictionary data for the nearly incompressible materials. The…

Analysis of PDEs · Mathematics 2017-11-02 Li Jingzhi , Liu Hongyu , Sun Hongpeng

We present an interval-based approach for parameter identification in structural static inverse problems. The proposed inverse formulation exploits the Interval Finite Element Method (IFEM) combined with adjoint-based optimization. The…

Numerical Analysis · Mathematics 2014-09-08 Naijia Xiao , Francesco Fedele , Rafi Muhanna
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