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Computations in small Coxeter groups and infinite dihedral groups suggest that Kazhdan-Lusztig cells for unequal parameters obey to some "semicontinuity" phenomenon (as the parameter vary). The aim of this paper is to provide a rigorous…

表示论 · 数学 2008-12-18 Cédric Bonnafé

A short proof of a conjecture of Kropholler is given. This gives a relative version of Stallings' Theorem on the structure of groups with more than one end. A generalisation of the Almost Stability Theorem is also obtained, that gives…

群论 · 数学 2015-01-05 M. J. Dunwoody

We study collective modes in anisotropic plasmas of quarks and gluons using a quasi-particle picture and a hard loop approximation. We use a general class of anisotropic distribution functions, and we consider chirally asymmetric systems.…

高能物理 - 唯象学 · 物理学 2022-02-09 Margaret E. Carrington , Bailey M. Forster , Sofiya Makar

We introduce a notion of relative isospectrality for surfaces with boundary having possibly non-compact ends either conformally compact or asymptotic to cusps. We obtain a compactness result for such families via a conformal surgery that…

微分几何 · 数学 2012-06-27 Pierre Albin , Clara L. Aldana , Frédéric Rochon

We propose a description for the quasi-equilibrium self-assembly of small, single-stranded (ss) RNA viruses whose capsid proteins (CPs) have flexible, positively charged, disordered tails that associate with the negatively charged RNA…

软凝聚态物质 · 物理学 2016-03-23 Robijn F. Bruinsma , Mauricio Comas-Garcia , Rees F. Garmann , Alexander Y. Grosberg

An initially homogeneous freely evolving fluid of inelastic hard spheres develops inhomogeneities in the flow field (vortices) and in the density field (clusters), driven by unstable fluctuations. Their spatial correlations, as measured in…

统计力学 · 物理学 2009-10-30 J. A. G. Orza , R. Brito , T. P. C. Van Noije , M. H. Ernst

While limited coupled cluster theory is \textit{formally} nonvariational, it is not broadly appreciated whether this is a major issue \textit{in practice}. We carried out a detailed comparison with \textit{de facto} full CI energies for a…

化学物理 · 物理学 2024-10-03 Jan M. L. Martin , Emmanouil Semidalas

The two-dimensional case occupies a special position in the theory of critical phenomena due to the exact results provided by lattice solutions and, directly in the continuum, by the infinite-dimensional character of the conformal algebra.…

统计力学 · 物理学 2021-04-01 Gesualdo Delfino

We propose and investigate an extension of the Caspar-Klug symmetry principles for viral capsid assembly to the programmable assembly of size-controlled triply-periodic polyhedra, discrete variants of the Primitive, Diamond, and Gyroid…

We study the conjecture claiming that, over a flexible field, isotropic Chow groups coincide with numerical Chow groups (with ${\Bbb{F}}_p$-coefficients). This conjecture is essential for understanding the structure of the isotropic motivic…

代数几何 · 数学 2022-10-03 Alexander Vishik

The physics of complex systems stands to greatly benefit from the qualitative changes in data availability and advances in data-driven computational methods. Many of these systems can be represented by interacting degrees of freedom on…

We derive an explicit asymptotic approximation for implied volatilities of caplets under the assumption that the short-rate is described by a generic quadratic term-structure model. In addition to providing an asymptotic accuracy result, we…

数理金融 · 定量金融 2022-12-09 Matthew Lorig , Natchanon Suaysom

As shown in arXiv:hep-th/0405282, the warped deformed conifold has two bosonic massless modes, a pseudoscalar and a scalar, that are dual to the phase and the modulus of the baryonic condensates in the cascading gauge theory. We reconsider…

高能物理 - 理论 · 物理学 2014-11-18 Marcus K. Benna , Anatoly Dymarsky , Igor R. Klebanov , Alexander Solovyov

We construct an asymptotic approximation to the solution of a transmission problem for a body containing a region occupied by many small inclusions. The cluster of inclusions is characterised by two small parameters that determine the…

偏微分方程分析 · 数学 2016-07-22 Michael Nieves

We demonstrate that interacting ultraviolet fixed points in four dimensions exist at strong coupling, and away from large-$N$ Veneziano limits. This is established exemplarily for semi-simple supersymmetric gauge theories with chiral matter…

高能物理 - 理论 · 物理学 2022-05-25 Andrew D. Bond , Daniel F. Litim

This paper develops an asymptotic likelihood theory for triangular arrays of stationary Gaussian time series depending on a multidimensional unknown parameter. We give sufficient conditions for the associated sequence of statistical models…

统计理论 · 数学 2025-11-14 Carsten H. Chong , Fabian Mies

Icosahedral shells undergo a buckling transition as the ratio of Young's modulus to bending stiffness increases. Strong bending stiffness favors smooth, nearly spherical shapes, while weak bending stiffness leads to a sharply faceted…

生物物理 · 物理学 2009-11-13 M. Widom , J. Lidmar , D. R. Nelson

Statistical model of strongly anisotropic fully developed turbulence of the weakly compressible fluid is considered by means of the field theoretic renormalization group. The corrections due to compressibility to the infrared form of the…

chao-dyn · 物理学 2016-11-22 N. V. Antonov , M. Hnatič , M. Yu. Nalimov

Viruses are known to tolerate wide ranges of pH and salt conditions and to withstand internal pressures as high as 100 atmospheres. In this paper we investigate the mechanical properties of viral capsids, calling explicit attention to the…

软凝聚态物质 · 物理学 2009-11-11 Roya Zandi , David Reguera

At low temperatures ultrasoft particle systems develop interesting phases via the self-assembly of particle clusters. In this study we develop a general zero-temperature analysis fully characterizing the ground state of such models in two…

软凝聚态物质 · 物理学 2025-02-25 Matheus de Mello , Rogelio Díaz-Méndez , Alejandro Mendoza-Coto