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This article gives an elementary introduction to quantum computing. It is a draft for a book chapter of the "Handbook of Nature-Inspired and Innovative Computing", Eds. A. Zomaya, G.J. Milburn, J. Dongarra, D. Bader, R. Brent, M.…

Quantum Physics · Physics 2007-05-23 J. Eisert , M. M. Wolf

This note replies Dr. Jensen (2010) comments on Problem 2.3, which was left in Fuh (2010). In the following, we use the same notations and definitions in Fuh (2006) unless specified.

Statistics Theory · Mathematics 2019-11-05 Cheng-Der Fuh , Chu-Lan Kao

Reply to the comment by L. Kofman, A. Linde and A.A. Starobinsky (hep-ph/9608341) to our article ``Analytic and Numerical Study of Preheating Dynamics'' (hep-ph/9608205).

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Boyanovsky , H. J. de Vega , R. Holman

This is a correction to the afore-mentioned paper in Duke Math. J. vol. 75 (1994), 99-119 by S. Keel, K. Matsuki, and J. McKernan. We completely rewrite Chapter 6 according to the original manuscript of the second author, in order to fix…

Algebraic Geometry · Mathematics 2007-05-23 Kenji Matsuki

We give an informal introduction to the authors' work on some conjectures of Kazhdan and Lusztig, building on work of Soergel and de Cataldo-Migliorini. This article is an expanded version of a lecture given by the second author at the…

Representation Theory · Mathematics 2017-01-11 Ben Elias , Geordie Williamson

Rejoinder to ``Breakdown and groups'' by P. L. Davies and U. Gather [math.ST/0508497]

Statistics Theory · Mathematics 2007-06-13 P. Laurie Davies , Ursula Gather

Ogburn et al. (2019, arXiv:1910.05438) discuss "The Blessings of Multiple Causes" (Wang and Blei, 2018, arXiv:1805.06826). Many of their remarks are interesting. But they also claim that the paper has "foundational errors" and that its…

Machine Learning · Statistics 2019-12-24 Yixin Wang , David M. Blei

The recent paper by I. Weissman, "Sum of squares of uniform random variables",[Statist. Probab. Lett. 129 (2017), 147-154] is compared to earlier work of B. Tibken and D. Constales relating to the area of the intersection of a centred ball…

Probability · Mathematics 2022-10-17 Peter J. Forrester

This is a comment on [G. Knight and R. Klages, Phys. Rev. E 84, 041135 (2011); also available at arXiv:1107.5293v2 [math-ph]].

Statistical Mechanics · Physics 2011-11-29 Thomas Gilbert , David P. Sanders

In Early Transcendentals (The American Mathematical Monthly, Vol. 104, No 7) Steven Weintraub presents a rigorous justifcation of the "early transcendental" calculus textbook approach to the exponential and logarithmic functions. However,…

History and Overview · Mathematics 2015-06-12 Simon Cowell , Philippe Poulin

Inferring causal effects from an observational study is challenging because participants are not randomized to treatment. Observational studies in infectious disease research present the additional challenge that one participant's treatment…

Methodology · Statistics 2020-12-25 Brian G. Barkley , Michael G. Hudgens , John D. Clemens , Mohammad Ali , Michael E. Emch

This is the paper "Niels Henrik Abel and the birth of fractional calculus", Podlubny, I., Magin, R. L., Trymorush I., Fractional Calculus and Applied Analysis, vol.20, no.5, pp.1068-1075, 2017 (https://doi.org/10.1515/fca-2017-0057) with…

History and Overview · Mathematics 2018-02-20 I. Podlubny , R. L. Magin , I. Trymorush

We would like to take this opportunity to thank the discussants for their thoughtful comments and encouragements on our work [arXiv:0808.1012]. The discussants raised a number of issues from theoretical as well as computational…

Statistics Theory · Mathematics 2008-08-08 Hui Zou , Runze Li

Theory of Probability is distinguished by several high-level philosophical attitudes, some stressed by Jeffreys, some implicit. By reviewing these we may recognize the importance in this work in the historical development of statistics.…

Methodology · Statistics 2010-01-19 Robert Kass

This report discusses the improved bound of the cluster expansion, recently proposed by Procacci and Yuhjtman (Lett. Math. Phys. 107, 31, 2017). Brydges and Helmuth noticed the relevance of Kruskal's algorithm, which allows to streamline…

Mathematical Physics · Physics 2019-06-10 Daniel Ueltschi

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

Methodology · Statistics 2014-10-03 Thomas S. Richardson , James M. Robins

With the vast majority of scientific papers now available online, this paper describes how the Web is allowing physicists and information providers to measure more accurately the impact of these papers and their authors. Provides a…

Physics and Society · Physics 2007-05-23 L. I. Meho

In this work we ask whether and to what extent applying a predictor of publications' impact better than early citations, has an effect on the assessment of research performance of individual scientists. Specifically, we measure the total…

Digital Libraries · Computer Science 2021-03-26 Giovanni Abramo , Ciriaco Andrea D'Angelo , Giovanni Felici

We give a survey of recent results, due mainly to the authors, concerning Bernstein-Markov type inequalities and connections with potential theory.

Complex Variables · Mathematics 2015-12-03 Thomas Bloom , Norman Levenberg , Federico Piazzon , Franck Wielonsky

Reply to the recent comment by I.Ispolatov and M.Karttunen, cond-mat/0303564

Statistical Mechanics · Physics 2007-05-23 D. H. E. Gross , E. V. Votyakov , A. De Martino