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Second-order symmetric Lorentzian spaces, that is to say, Lorentzian manifolds with vanishing second derivative of the curvature tensor R, are characterized by several geometric properties, and explicitly presented. Locally, they are a…

Differential Geometry · Mathematics 2013-07-16 O F Blanco , M Sánchez , J M M Senovilla

We study the degree of second-order coherence of the emission of a high-power multi-quantum well superluminescent diode with a lateral tapered amplifier section with and without feedback. When operated in an external cavity, the degree of…

Quantum Physics · Physics 2017-09-19 Jan Kiethe , Axel Heuer , Andreas Jechow

Generalized cycles can be thought of as the extension of form-cycle duality between holomorphic forms and cycles, to meromorphic forms and generalized cycles. They appeared as an ubiquitous tool in the study of spectral curves and…

Mathematical Physics · Physics 2024-05-24 B. Eynard

We consider the 2D $J_1-J_2$ classical XY model on a square lattice. In the frustrated phase corresponding to $J_2>J_1/2$, an Ising order parameter emerges by an ``order due to disorder'' effect. This leads to a discrete symmetry plus the…

Statistical Mechanics · Physics 2016-08-31 P. Simon

In this study we introduce a second type of higher order generalised geometric polynomials. This we achieve by examining the generalised stirling numbers $S(n; k;\alpha;\beta;\gamma)$ [Hsu & Shiue,1998] for some negative arguments. We study…

A Generalised Hadamard Transform for multi-phase or multilevel signals is introduced, which includes the Fourier, Generalised, Discrete Fourier, Walsh-Hadamard and Reverse Jacket Transforms. The jacket construction is formalised and shown…

Information Theory · Computer Science 2016-11-17 K. J. Horadam

Multi-mode Cepheids pulsate simultaneously in more than one mode of oscillation. They provide an independent means to test stellar models and pulsation theories. They can also be used to derive metallicities. In recent years, the number of…

Solar and Stellar Astrophysics · Physics 2022-10-05 Vishwangi Shah , Xiaodian Chen , Richard de Grijs

We present a phenomenological analysis of long-period variables (LPVs) in the Large Magellanic Cloud with the aim of detecting pulsation modes associated to different period-luminosity (PL) relations. Among brighter LPVs we discover a group…

Solar and Stellar Astrophysics · Physics 2015-06-17 I. Soszynski , P. R. Wood , A. Udalski

We develop a unified second-order parameterized complexity theory for spaces of integrable functions. This generalizes the well-established case of second-order parameterized complexity theory for spaces of continuous functions.…

Computational Complexity · Computer Science 2025-06-16 Aras Bacho , Martin Ziegler

We present results from a detailed analysis of theoretical and observed light curves of classical Cepheid variables in the Galaxy and the Magellanic Clouds. Theoretical light curves of Cepheid variables are based on non-linear convective…

Astrophysics of Galaxies · Physics 2019-09-04 A. Bhardwaj , S. M. Kanbur , M. Marconi , H. P. Singh , M. Rejkuba , C. -C. Ngeow

We examine the interplay of symmetry and topological order in $2+1$ dimensional topological phases of matter. We present a definition of the \it topological symmetry \rm group, which characterizes the symmetry of the emergent topological…

Strongly Correlated Electrons · Physics 2019-10-16 Maissam Barkeshli , Parsa Bonderson , Meng Cheng , Zhenghan Wang

Phase singularities as topological objects of wave fields appear in a variety of physical, chemical, and biological scenarios. In this paper, by making use of the $\phi$-mapping topological current theory, we study the topological…

Geophysics · Physics 2007-05-23 Yi-Shi Duan , Ji-Rong Ren , Tao Zhu

Based on the distribution of long-period Cepheids, we have redetermined the orientation parameters of their principal plane in the Galaxy. Based on 299 Cepheids with heliocentric distances $r<20$ kpc and pulsation periods $P\geq5^d$, we…

Astrophysics of Galaxies · Physics 2013-10-29 Vadim Bobylev

The second solar spectrum is the solar spectrum of Stokes parameter Q observed in linear polarization close to the solar limb. It differs significantly of the usual intensity spectrum (Stokes parameter I). The second solar spectrum contains…

Instrumentation and Methods for Astrophysics · Physics 2026-03-31 Jean-Marie Malherbe

We discuss the problem of characterizing "quantum disordered" ground states, obtained upon loss of antiferromagnetic order on general lattices in two spatial dimensions, with arbitrary electronic band structure. A key result is the response…

Strongly Correlated Electrons · Physics 2011-05-05 Liang Fu , Subir Sachdev , Cenke Xu

Dispersion features of a graphene-coated semiconductor nanowire operating in the terahertz frequency band are consistently studied in the framework of a special theory of complex waves. Detailed classification of the waveguide modes was…

Optics · Physics 2018-06-25 Pengchao Yu , Volodymyr I. Fesenko , Vladimir R. Tuz

There is a serious discrepancy between the distance to the LMC derived from the Cepheid Period-Luminosity relation and that obtained by using the Galactic calibration for the luminosity of RR Lyrae stars. It is suggested that this problem…

Astrophysics · Physics 2009-10-28 Sidney van den Bergh

We present homogeneous multiband (grizJHKs) time-series observations of 78 Cepheids including 49 fundamental mode variables and 29 first-overtone mode variables. These observations were collected simultaneously using the ROS2 and REMIR…

Solar and Stellar Astrophysics · Physics 2024-01-09 A. Bhardwaj , V. Ripepi , V. Testa , R. Molinaro , M. Marconi , G. De Somma , E. Trentin , I. Musella , J. Storm , T. Sicignano , G. Catanzaro

Data on multimode Cepheids from OGLE-III catalog of the LMC Cepheids are confronted with results from model calculations. Models whose radial mode periods are consistent with observation are not always in agreement with published…

Solar and Stellar Astrophysics · Physics 2009-10-02 W. A. Dziembowski , R. Smolec

This paper deals with iteration stable (STIT) tessellations, and, more generally, with a certain class of tessellations that are infinitely divisible with respect to iteration. They form a new, rich and flexible class of spatio-temporal…

Probability · Mathematics 2013-03-04 Tomasz Schreiber , Christoph Thaele
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