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We give a survey of some known results and of the many open questions in the study of generic phenomena in geometrically interesting groups.

Geometric Topology · Mathematics 2012-11-29 Igor Rivin

Scholarly publications represent at least two benefits for the study of the scientific community as a social group. First, they attest of some form of relation between scientists (collaborations, mentoring, heritage,...), useful to…

Digital Libraries · Computer Science 2022-08-09 Robin Delabays , Melvyn Tyloo

Some formulas and speculations are presented relative to integrable systems and quantum mechanics.

High Energy Physics - Theory · Physics 2007-05-23 Robert Carroll

Some remarks are made on the theoretical interpretation of recent experimental results on the propagation speed of electromagnetic force fields.

General Physics · Physics 2016-02-19 J. H. Field

Causal effects are usually studied in terms of the means of counterfactual distributions, which may be insufficient in many scenarios. Given a class of densities known up to normalizing constants, we propose to model counterfactual…

Methodology · Statistics 2024-02-20 Diego Martinez-Taboada , Edward H. Kennedy

We reply to the Comment by Fil'kov and Kashevarov, arXiv:0805.4486 [hep-ph]. We show that the discrepancies between ChPT and dispersion theory, reported for the polarizability of the pion, result from applying dispersion theory to…

High Energy Physics - Phenomenology · Physics 2014-11-20 B. Pasquini , D. Drechsel , S. Scherer

This is a Comment on the Article ``Aging, phase ordering and conformal invariance'' by M.Henkel, M.Pleimling, C.Godr\`eche and J.M.Luck [Phys.Rev.Lett. 87, 265701 (2001)].

Statistical Mechanics · Physics 2009-11-07 Federico Corberi , Eugenio Lippiello , Marco Zannetti

We make a few comments on some misleading statements in the above paper.

Statistical Mechanics · Physics 2015-08-04 Neri Merhav

Two recent articles by Norman H. March that contain misleading statements concerning 3D Ising models, partly based on earlier erroneous work of Z.D. Zhang, are addressed.

Statistical Mechanics · Physics 2016-03-23 Michael E. Fisher , Jacques H. H. Perk

Providing clear explanations to the choices of machine learning models is essential for these models to be deployed in crucial applications. Counterfactual and semi-factual explanations have emerged as two mechanisms for providing users…

Machine Learning · Computer Science 2026-01-15 André Artelt , Martin Olsen , Kevin Tierney

We give two proofs of a folkore result relating numerical semigroups of embedding dimension two and binary cyclotomic polynomials and explore some consequences. In particular, we give a more conceptual reproof of a result of Hong et al.…

Number Theory · Mathematics 2020-08-27 Pieter Moree

We expand upon some topics reviewed and sketched in a book to appear with more details, embellishments, and some new material of a speculative nature.

Classical Physics · Physics 2007-05-23 Robert Carroll

A review of the present knowledge on polarized parton distributions is given. The effects of perturbative evolution on these distributions are discussed qualitatively and a comparison of various recent parametrizations is made.

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Gehrmann , W. J. Stirling

We review recent progress in the fractional Calder\'on problem, where one tries to determine an unknown coefficient in a fractional Schr\"odinger equation from exterior measurements of solutions. This equation enjoys remarkable uniqueness…

Analysis of PDEs · Mathematics 2018-02-16 Mikko Salo

In rank aggregation, members of a population rank issues to decide which are collectively preferred. We focus instead on identifying divisive issues that express disagreements among the preferences of individuals. We analyse the properties…

Multiagent Systems · Computer Science 2023-06-16 Rachael Colley , Umberto Grandi , César Hidalgo , Mariana Macedo , Carlos Navarrete

We respond to the criticisms of a recent paper of Buchert et al. [arXiv:1505.07800]

General Relativity and Quantum Cosmology · Physics 2015-11-02 Stephen R. Green , Robert M. Wald

We provide a reply to a comment by I. Goychuk arXiv:1501.06996 [cond-mat.stat-mech] (not under active consideration with Phys. Rev. Lett.) on our Letter A. Rebenshtok, S. Denisov, P. H\"anggi, and E. Barkai, {\em Phys. Rev. Lett.} {\bf…

Statistical Mechanics · Physics 2015-06-19 Adi Rebenshtok , Sergey Denisov , Peter Hänggi , Eli Barkai

The existing consensus is that flocks are poised at criticality, entailing long correlation lengths and a maximal value of Shannon mutual information in the large-system limit. We show, by contrast, that for finite flocks in the long…

Statistical Mechanics · Physics 2018-03-14 Lionel Barnett , Joshua Brown , Terry Bossomaier

We prove an inverse relation and a family of convolution formulas involving partial Bell polynomials. Known and some presumably new combinatorial identities of convolution type are discussed. Our approach relies on an interesting…

Combinatorics · Mathematics 2013-07-23 Daniel Birmajer , Juan B. Gil , Michael D. Weiner
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