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A regular map is a surface together with an embedded graph, having properties similar to those of the surface and graph of a platonic solid. We analyze regular maps with reflection symmetry and a graph of density strictly exceeding 1/2, and…

组合数学 · 数学 2015-01-15 R. H. Eggermont , M. Hendriks

We derive a message passing method for computing the spectra of locally tree-like networks and an approximation to it that allows us to compute closed-form expressions or fast numerical approximates for the spectral density of random graphs…

物理与社会 · 物理学 2019-04-19 M. E. J. Newman , Xiao Zhang , Raj Rao Nadakuditi

Speckle patterns are inherent features of coherent light propagation through complex media. As a result of interference, they are sensitive to multiple experimental parameters such as the configuration of disorder or the propagating…

We demonstrate the creation of nontrivial (meta) stable states (patterns), localized, chaotic, entangled or decoherent, from the basic localized modes in various collective models arising from the quantum hierarchy described by Wigner-like…

量子物理 · 物理学 2017-03-29 Antonina N. Fedorova , Michael G. Zeitlin

Standard concepts of nuclear physics explaining the systematics of ground state spins in nuclei by the presence of specific coherent terms in the nucleon-nucleon interaction were put in doubt by the observation that these systematics can be…

核理论 · 物理学 2008-11-26 Vladimir Zelevinsky , Alexander Volya

The dynamics of the domains is studied in a two-dimensional model of the microphase separation of diblock copolymers in the vicinity of the transition. A criterion for the validity of the mean field theory is derived. It is shown that at…

凝聚态物理 · 物理学 2009-10-28 C. B. Muratov

We study the RPA equations in their most general form by taking the matrix elements appearing in the RPA equations as random. This yields either a unitarily or an orthogonally invariant random-matrix model which is not of the Cartan type.…

核理论 · 物理学 2009-08-05 X. Barillier-Pertuisel , O. Bohigas , H. A. Weidenmueller

It is shown that the quarks and leptons of the standard model, including a right-handed neutrino, can be obtained by gauging the holonomy groups of complex projective spaces of complex dimensions two and three. The spectrum emerges as…

高能物理 - 理论 · 物理学 2009-11-07 Brian P. Dolan , C. Nash

We introduce a mean-field framework for the study of systems of interacting particles sharing a conserved quantity. The work generalises and unites the existing fields of asset-exchange models, often applied to socio-economic systems, and…

物理与社会 · 物理学 2021-06-14 Dominic T Robson , Andreas CW Baas , Alessia Annibale

The Blume-Emery-Griffiths model with a random crystal field is studied in a random graph architecture, in which the average connectivity is a controllable parameter. The disordered average over the graph realizations is treated by replica…

无序系统与神经网络 · 物理学 2023-02-22 R. Erichsen , Alexandre Silveira , S. G. Magalhaes

We investigate the low-lying spectra of many-body systems with random two-body interactions, specifying that the ensemble be invariant under particle-hole conjugation.Surprisingly we find patterns reminiscent of more orderly interactions,…

核理论 · 物理学 2009-10-31 C. W. Johnson , G. F. Bertsch , D. J. Dean

Core-periphery structure is an emerging property of a wide range of complex systems and indicate the presence of group of actors in the system with an higher number of connections among them and a lower number of connections with a sparsely…

社会与信息网络 · 计算机科学 2020-06-24 Paolo Barucca

In this paper, we achieve some interesting results in the way to make sense how superparticles interact together and to ordinary particles by means of putting aside the dimensional constraints. This is the first step in the process of…

综合物理 · 物理学 2008-03-07 P. T. Tuyen , H. V. Vinh

In this paper we will provide an introductory understanding of random graph models, and matchings in the case of Erdos-Renyi random graphs. We will provide a synthesis of background theory to this end. We will further examine pertinent…

统计理论 · 数学 2019-11-18 Lucas Rooney

This paper describes various approaches to modeling a random process with a given rational power spectral density. The main attention is paid to the spectral form of mathematical description, which allows one to obtain a relation for the…

系统与控制 · 电气工程与系统科学 2025-01-28 Konstantin A. Rybakov

Using the superstatistics method, we propose an extension of the random matrix theory to cover systems with mixed regular-chaotic dynamics. Unlike most of the other works in this direction, the ensembles of the proposed approach are basis…

统计力学 · 物理学 2007-05-23 A. Y. Abul-Magd

We present a random matrix model suitable for the quantum mechanical description of a particle confined to move inside a two-dimensional domain. Here, the ensemble average corresponds to an average over domain shapes. Although this approach…

chao-dyn · 物理学 2008-02-03 Henrik J. Pedersen , A. D. Jackson

We investigate the interaction of an atom with a multi-channel squeezed vacuum. It turns out that the light coming out in a particular channel can have anomalous spectral properties, among them asymmetry of the spectrum, absence of the…

量子物理 · 物理学 2009-10-30 G. C. Hegerfeldt , T. I. Sachse , D. G. Sondermann

The problem of a calculation of parameters of the Standard Model is considered in the framework of the compensation approach. Conditions for a spontaneous generation of effective interactions of fundamental fields are shown to lead to sets…

高能物理 - 唯象学 · 物理学 2014-09-23 Boris A. Arbuzov , Ivan V. Zaitsev

Nuclear matter and surface properties are carefully studied for a model based on an effective hadronic lagrangian with vector-vector and scalar-vector self-interactions. The results of the model are compared with those of the successful…

核理论 · 物理学 2007-05-23 M. Del Estal , M. Centelles , X. Viñas