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This paper has been withdrawn by the authors due to a more research needed to estimate $h^{*}_{n}(b)$ which really should be written as $h^{*}_{n}(b,A)$ for $b\in \Gamma (t)$.

Complex Variables · Mathematics 2010-11-04 Haifeng Chu , Yunping Jiang

Rejoinder of "Instrumental Variables: An Econometrician's Perspective" by Guido W. Imbens [arXiv:1410.0163].

Methodology · Statistics 2014-10-03 Guido Imbens

Bianchi and Don\`{a} [1] have recently reported a proof to the variance formula of von Neumann entropy, which was conjectured in [2] and firstly proved in [3]. The purpose of this short note is to show that, despite having a different…

Information Theory · Computer Science 2019-06-26 Lu Wei

Exponentiation of Hamiltonians refers to a mathematical operation to a Hamiltonian operator, typically in the form e^(-i.t.H), where H is the Hamiltonian and t is a time parameter. This operation is fundamental in quantum mechanics,…

Quantum Physics · Physics 2025-02-11 Gerard Fleury , Philippe Lacomme

This is a small comment concerning the work by Smolyaninov et al. in Phys. Rev. Lett.94, 057401 (2005).

Optics · Physics 2015-05-18 A. Drezet , H. Hohenau , J. R. Krenn

It was shown that quantum analysis constitutes the proper analytic basis for quantization of Lyapunov exponents in the Heisenberg picture. Differences among various quantizations of Lyapunov exponents are clarified.

Quantum Physics · Physics 2007-05-23 Wladyslaw A. Majewski , Marcin Marciniak

In a recent work, Bastin and Martin (B-M) [Phys. Rev. A 67, 053804 (2003)] have analyzed the quantum theory of the mazer in the off-resonant case. However, our analysis of this case refutes their claim by showing that their evaluation of…

Quantum Physics · Physics 2009-11-11 Mahmoud Abdel-Aty

Authors' Reply to the Comment by Janossy et al. [cond-mat/0005275] on our article, "Magnetoresistance Anomalies in Antiferromagnetic YBa_{2}Cu_{3}O_{6+x}: Fingerprints of Charged Stripes" [cond-mat/9905071, Phys. Rev. Lett. 83, 2813…

Superconductivity · Physics 2016-08-31 Yoichi Ando , A. N. Lavrov , Kouji Segawa

The usual strategy for deducing the $\pi\mbox{--}\pi^\ast$ electronic energy (or optical bandgap) in a molecule with an "infinite" number of conjugated double bonds consists in fitting a function with some adjustable parameters to the…

Materials Science · Physics 2015-12-18 K. Razi Naqvi

Some difficulties, both numerical and conceptual, of the method to compute one dimensional wave functions by numerically integrating the quantum Hamilton-Jacobi equation, presented in the paper mentioned in the title, are analyzed. The…

Quantum Physics · Physics 2014-04-04 Mario Fusco Girard

This paper is a complement of our recent works on the semilinear Tricomi equations in [8] and[9].

Analysis of PDEs · Mathematics 2017-04-25 Daoyin He , Ingo Witt , Huicheng Yin

Consider a reflected jump-diffusion on the positive half-line. Assume it is stochastically ordered. We apply the theory of Lyapunov functions and find explicit estimates for the rate of exponential convergence to the stationary…

Probability · Mathematics 2016-11-16 Andrey Sarantsev

The main purpose of this note is clarify the following misunderstanding apparent in the note arXiv:1309.0405 by M. Bustamante, U. Hayat, P. Lynch, B. Quinn; [1]: the authors erroneously assume that in the manuscript arXiv:1307.8272 by A.…

Fluid Dynamics · Physics 2013-09-05 A. Kartashov , E. Kartashova

In the space of all entire functions it is solved the problem of interpolation taking into account multiplicities by sums of the series of exponentials with the exponents from a given set. It is found a criterion of solubility of the…

Complex Variables · Mathematics 2016-12-20 S. G. Merzlyakov , S. V. Popenov

This is the fourth article in the collection of reviews "Exact results on N=2 supersymmetric gauge theories", ed. J.Teschner. It describes a very useful mathematical representation of the results of the localisation computations of…

High Energy Physics - Theory · Physics 2015-02-25 Kazunobu Maruyoshi

In different Wolfenstein parametrizations derived from different exact parametrizations of the Cabibbo-Kobayashi-Maskawa matrix, we explicitly study seeming discrepancies between the matrix elements at the higher order of the expansion…

High Energy Physics - Phenomenology · Physics 2015-05-28 Y. H. Ahn , Hai-Yang Cheng , Sechul Oh

The aim of Part II of this paper is to try to describe wave functions on q-deformed versions of position and momentum space. This task is done within the framework developed in Part I of the paper. In order to make Part II self-contained…

Quantum Physics · Physics 2007-05-23 Hartmut Wachter

In a recent paper Zheng et al. characterized the coefficients of $ f(x) = x + a_1x^{s_1(2m-1)+1} + a_2x^{s_2(2m-1)+1} + a_3x^{s_3(2m-1)+1} $ over $\mathbb{ F}_2^{2m}$ that lead $ f(x) $ to be a permutation of $\mathbb{ F}_2^{2m}$ for $…

Number Theory · Mathematics 2023-08-29 Vincenzo Pallozzi Lavorante

We reply to a recent comment by Bhattacharya et. al. (cond-mat/9812290) on our previous Letter (PRL 81, 5640 (1998)).

Superconductivity · Physics 2008-07-09 Mei-Rong Li , P. J. Hirschfeld , P. Woelfle

We show how our recent results on compositions of d.c. functions (and mappings) imply positive results on extensions of d.c. functions (and mappings). Examples answering two natural relevant questions are presented. Two further theorems,…

Functional Analysis · Mathematics 2008-10-09 Libor Vesely , Ludek Zajicek