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200 papers

This is a homage to the memory of Prof. Steven Weinberg who passed away on 23 July 2021.

History and Philosophy of Physics · Physics 2023-02-07 Rohini M. Godbole , Urjit Yajnik

The implications of the original misunderstanding of the etymology of the word "ergodic" are discussed, and the contents of a not too well known paper by Boltzmann are critically examined. The connection with the modern theory of Ruelle is…

chao-dyn · Physics 2008-02-26 Giovannni Gallavotti

This paper celebrates the remarkable life, science and legacy of Abb\'e Georges Lema\^itre, the Belgian cleric and professor of physics; he was the architect of the fireworks model for the origin of the universe. He died half a century ago,…

History and Philosophy of Physics · Physics 2016-12-12 Simon Mitton

This review is the updated and enlarged version of a talk delivered by J. S. on the occasion of the 1982 meeting of Nobel laureates at Lindau, and of talks given by B.-G. E. at several West German universities and Max Planck institutes in…

Quantum Physics · Physics 2019-11-12 Julian Schwinger , Berthold-Georg Englert

I review the meaning of General Relativity (GR), viewed as a dynamical field, rather than as geometry, as effected by the 1958-61 anti-geometrical work of ADM. This very brief non-technical summary, is intended for historians.

History and Philosophy of Physics · Physics 2021-07-07 S. Deser

We describe von Neumann's elegant idea for sampling from the exponential distribution, Forsythe's generalization for sampling from a probability distribution whose density has the form exp(-G(x)), where G(x) is easy to compute (e.g. a…

Numerical Analysis · Computer Science 2010-05-10 Richard P. Brent

Short review article on quantum information processing accepted for Supplement III, Encyclopaedia of Mathematics (publication expected Summer 2001). See also http://www.wkap.nl/series.htm/ENM

Quantum Physics · Physics 2007-05-23 E. H. Knill , M. A. Nielsen

This article is a translation of Bruno de Finetti's paper "Funzione Caratteristica di un fenomeno aleatorio" which appeared in Atti del Congresso Internazionale dei Matematici, Bologna 3-10 Settembre 1928, Tomo VI, pp. 179-190, originally…

Statistics Theory · Mathematics 2015-12-07 David Alvarez-Melis , Tamara Broderick

In this work, we investigate the radiative leptonic decays D_(s)^- \to \gamma \ell \bar\nu (\ell = e, \mu) at tree level within the non-relativistic consistuent quark model and the effective Lagrangian for the heavy flavor decays. We find…

High Energy Physics - Phenomenology · Physics 2009-11-07 Cai-Dian Lu , Ge-Liang Song

We give a selective survey of topics in algebraic deformation theory ranging from its inception to current times. Throughout, the numerous contributions of Murray Gerstenhaber are emphasized, especially the common themes of cohomology,…

Quantum Algebra · Mathematics 2010-11-08 Anthony Giaquinto

In November 2014 Alexander Grothendieck passed away at the age of 86. There is no doubt that he was one of the greatest and most innovative mathematicians of the 20th century. After a bitter childhood, his meteoric ascent started in the…

History and Overview · Mathematics 2016-05-27 Wolfgang Bietenholz , Tatiana Peixoto

In the context of metric $f(R)$ gravity, the Geodesic Deviation Equation (GDE) was first studied in arXiv:1010.5279v3, giving a general expression and studying a particular case, the FLRW universe. In the paper arXiv:1312.2022v1 a similar…

General Relativity and Quantum Cosmology · Physics 2015-09-04 Alejandro Guarnizo , Leonardo Castaneda , Juan M. Tejeiro

This is the revised version of a Comment on a paper by C. Escudero (Phys. Rev. Lett. 100, 116101, 2008; arXiv:0804.1898).

Statistical Mechanics · Physics 2009-11-13 Joachim Krug

See hep-ph/0304045

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ramy Naboulsi

The purpose of this text is twofold. First we discuss some divisor problems involving Paul Erd\H os (1913-1996), whose centenary of birth is this year. In the second part some recent results on divisor problems are discussed, and their…

Number Theory · Mathematics 2013-10-09 Aleksandar Ivić

This is the editor's preface to the special issue of Journal of Spectral Theory, in memory of Yuri Safarov.

History and Overview · Mathematics 2016-12-13 Dmitri Vassiliev

We present a streamlined, slightly modified version, in the two-variable situation, of a beautiful, but not so well known, theory by B\"{o}gel, already from the 1930s, on an alternative higher dimensional calculus of real functions, a…

Classical Analysis and ODEs · Mathematics 2021-07-23 Patrik Lundström

There is a statement on the parametrization dependence of the classical metric in the recent paper of N.E.J. Bjerrum-Bohr, J.F. Donoghue, B.R. Holstein, gr-qc/0610096. I completely disagree with this statement. Here I show reparametrization…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. G. Kirilin

This is a letter to the editor concerning Semjon Adlaj's article "An eloquent formula for the perimeter of an ellipse", AMS Notices 59, 8 (2012), 1094-1099.

History and Overview · Mathematics 2013-03-13 Richard P. Brent

In this paper I present a brief survey of the active area of Special Functions associated with Root Systems. The article is intended for a general mathematical audience. It will not suppose prerequisites on either special functions or root…

Classical Analysis and ODEs · Mathematics 2016-09-06 Tom H. Koornwinder