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The note complements topological aspects of the theory of chiral algebras.

Quantum Algebra · Mathematics 2007-11-19 A. Beilinson

Discussion of "Harold Jeffreys's Theory of Probability revisited," by Christian Robert, Nicolas Chopin, and Judith Rousseau, for Statistical Science [arXiv:0804.3173]

Methodology · Statistics 2010-01-19 Andrew Gelman

The authors mention work of Christensen, Mycielski, Tsujii, and others which is closely related to a survey article by the first author [math.FA/9210220].

Functional Analysis · Mathematics 2008-02-03 Brian R. Hunt , Tim Sauer , James A. Yorke

We make remarks on the paper by Alon and Cederbaum [{\it Phys. Rev. Lett.} {\bf 95} 140402 (2005)]. The information about the Pauli blocking for Fermi-Dirac and Bose-Einstein particle statistics were presented.

Other Condensed Matter · Physics 2007-05-23 A. Kwang-Hua Chu

In this paper we revisit the work of E.T. Bell concerning partition polynomials in order to introduce the reciprocal partition polynomials. We give their explicit formulas and apply the result to compute closed formulae for some well-known…

Combinatorics · Mathematics 2020-08-26 Mouloud Goubi

We provide some comments on the article `High-dimensional simultaneous inference with the bootstrap' by Ruben Dezeure, Peter Buhlmann and Cun-Hui Zhang.

Methodology · Statistics 2017-03-30 Richard A. Lockhart , Richard J. Samworth

This note records some dilation theorems about contraction semigroups on a Hilbert space - all of which fall into the categories "known" or "probably known" - that I proved while working on my PhD in mathematics (under the supervision of…

Functional Analysis · Mathematics 2010-04-07 Orr Shalit

The original version of this paper commented on a paper by Jaffe, Jin, and Tang (hep-ph/9710561). That paper has been revised, and my original comment no longer applies to the revised version. The original version of my comment…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. C. Collins

We comment on mistakes and inaccuracies of a paper by Chen et al. concerning the optical torque from generic optical fields on dipolar chiral particles, i.e. on those whose scattering is fully described by the first electric, magnetic and…

Optics · Physics 2017-12-27 Manuel Nieto-Vesperinas

We review the results of our previous publication [Phys. Rev. D63, 116001 (2001); hep-ph/0012226] in the light of recent calculations and comments.

High Energy Physics - Phenomenology · Physics 2007-05-23 Ralf Kuhn , Michael Meyer-Hermann , Ralf Schützhold

We provide comments on the article "High-dimensional simultaneous inference with the bootstrap" by Ruben Dezeure, Peter Buhlmann and Cun-Hui Zhang.

Methodology · Statistics 2017-08-29 Jelena Bradic , Yinchu Zhu

A general formula for the canonical partition function for a system obeying any statistics based on the permutation group is derived. The formula expresses the canonical partition function in terms of sums of Schur functions. The only…

High Energy Physics - Theory · Physics 2009-10-28 S Chaturvedi

In this paper, we present a generalization of one of the theorems in [G. E. Andrews, Partitions with parts separated by parity, \textit{Annals of Combinatorics} \textbf{23}(2019), 241 - 248], and give its bijective proof. Further variations…

Number Theory · Mathematics 2021-08-31 Abdulaziz M. Alanazi , Darlison Nyirenda

A report on the works hep-th/9411050, q-alg/9412017, q-alg/9503013, q-alg/9506011 and a joint work with R.Bezrukavnikov.

q-alg · Mathematics 2008-02-03 Michael Finkelberg , Vadim Schechtman

This habilitation thesis summarizes the research that I have carried out from 2005 to 2019. It is organized in four chapters. The first three deal with random planar maps. Chapter 1 is about their metric properties: from a general…

Mathematical Physics · Physics 2019-12-17 Jérémie Bouttier

No abstract available, since this is a Comment on a published article (cf. title)

Optics · Physics 2015-02-23 L. Gil , G. L. Lippi

This note points out a gap in the proof of the main theorem of the article "Birationally rigid hypersurfaces" published in Invent. Math. 192 (2013), 533-566, and provides a new proof of the theorem.

Algebraic Geometry · Mathematics 2016-04-20 Tommaso de Fernex

A comment on the preprint "Towards a quantitative kinetic theory of polar active matter" by T. Ihle, arXiv:1401.8056.

We respond to comments on our paper, titled "Instrumental variable estimation of the causal hazard ratio."

Methodology · Statistics 2022-10-26 Linbo Wang , Eric Tchetgen Tchetgen , Torben Martinussen , Stijn Vansteelandt

Short review article on quantum computation 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
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