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This paper surveys recent progress on issues related to the Bartnik quasi-local mass $m_B$. In addition, we formulate a number of new problems and conjectures regarding foundational properties of the mass $m_B$. This work is dedicated with…

微分几何 · 数学 2019-04-08 Michael T. Anderson

This Chapter, "High-dimensional ABC", is to appear in the forthcoming Handbook of Approximate Bayesian Computation (2018). It details the main ideas and concepts behind extending ABC methods to higher dimensions, with supporting examples…

统计计算 · 统计学 2018-02-28 D. J. Nott , V. M. -H. Ong , Y. Fan , S. A. Sisson

This is a revised version of the preprint which has been available electronically for a while. The paper will now appear in J. Ramanujan Math. Soc.

数论 · 数学 2013-06-14 Kirti Joshi , Chandrashekhar Khare

Finite mixture models have been a very important tool for exploring complex data structures in many scientific areas, for example, economics, epidemiology, finance. In the past decade, semiparametric techniques have been popularly…

统计方法学 · 统计学 2018-11-15 Sijia Xiang , Weixin Yao , Guangren Yang

In this note, we give the possible revised version of the unique solvability conditions for the two incorrect results that appeared in the published paper by Wu et al. (Appl Math Lett 76:195-200, 2018).

泛函分析 · 数学 2023-09-27 Shubham Kumar , Deepmala

Physics Beyond Colliders is an exploratory study aimed at exploiting the full scientific potential of CERN's accelerator complex and its scientific infrastructure in the next two decades through projects complementary to the LHC, HL-LHC and…

Revisions: reference added to: G. Gilbert, {\sl Nucl.Phys.} {\bf B328}, 159 (1989)

高能物理 - 理论 · 物理学 2009-10-22 J. R. Anglin , R. C. Myers

The contributions of Emmy Noether to particle physics fall into two categories. One is given under the rubric of Noether's theorem, and the other may be described as her important contributions to modern mathematics. These are discussed…

高能物理 - 理论 · 物理学 2008-02-03 Nina Byers

We give necessary conditions for perfection of some families of odd numbers with special multiplicative forms. Extending earlier work of Steuerwald, Kanold, McDaniel et al.

数论 · 数学 2023-04-11 Luis H. Gallardo , Olivier. Rahavandrainy

In this reply, I point out that the comment by Jacques H.H. Perk on my paper "Exact Solution for Three-Dimensional Ising Model" [Symmetry 2021, 13, 1837] is wrong because the author seems not to understand the Onsager operators along both…

综合物理 · 物理学 2023-03-09 Degang Zhang

As a way to recall and honour Guido Altarelli I contribute to the discussion on the prospect for the future of Particle Physics. I do this because I am sure that Guido would have liked the discussion, even though I am not equally sure that…

高能物理 - 唯象学 · 物理学 2017-07-19 Riccardo Barbieri

Many-body systems, such as electrons flowing in a superconductor, are among the most difficult theoretical problems to study. A new family of exactly solvable models may offer some answers.

超导电性 · 物理学 2015-06-24 Michel Heritier

A brief review of the extremal projector method for Lie symmetries (Lie algebras and superalgebras as well as their quantum analogs) is given. A history of its discovery and some simplest applications are presented.

数学物理 · 物理学 2007-05-23 V. N. Tolstoy

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…

高能物理 - 理论 · 物理学 2015-02-25 Kazunobu Maruyoshi

Discovery of the J Particle at Brookhaven National Laboratory and the Physics of Electrons and Positrons; The Standard Model Yesterday, Today and Tomorrow; The Rise of Gauge Theories: From Many Models to One Theory; From Charm to CP…

We comment the recent published article entitled "Temperature dependent fluctuations in the two-dimensional XY model", appeared in J. Phys. A: Math.Gen. 38 (2005) 5603.

统计力学 · 物理学 2007-05-23 G. Palma

The present Editorial introduces the Special Issue dedicated by the journal Universe to the General Theory of Relativity, the beautiful theory of gravitation of Einstein, a century after its birth. It reviews some of its key features in a…

广义相对论与量子宇宙学 · 物理学 2015-04-24 Lorenzo Iorio

An argument of Y. Nikonorov completes the proof of Theorem 2.5 in "Bounded Isometries and Homogeneous Quotients", JGA 27 (2017), 56--64 [arXiv:1502.04276].

代数几何 · 数学 2021-11-11 Joseph A. Wolf

We review the exact solutions in modified gravity. It is one of the main problems of mathematical physics for the gravity theory. One can obtain an exact solution if the field equations reduce to a system of ordinary differential equations.…

广义相对论与量子宇宙学 · 物理学 2013-05-27 Andrey N. Makarenko , Valery V. Obukhov

Short introduction to exotic differential structures on manifolds is given. The possible physical context of this mathematical curiosity is discussed. The topic is very interesting although speculative.

高能物理 - 理论 · 物理学 2011-04-15 Jan Sladkowski