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Degenerate higher-order scalar-tensor (DHOST) theories are considered the most general class of scalar-tensor theories so that any constraints on them apply to the full set of scalar-tensor models. DHOST theories modify the laws of gravity…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-31 Vincenzo F. Cardone , Purnendu Karmakar , Marco De Petris , Roberto Maoli

We study the approximation of holomorphic functions of several complex variables by the ring $\mathcal{P}^S(\mathbb{C}^n)$ of polynomials whose exponents are restricted to a convex cone $\mathbb{R}_+S$ for some compact convex $S\in…

Complex Variables · Mathematics 2025-08-05 Álfheiður Edda Sigurðardóttir

We extend the recent boost operator formalism for relativistic Compton scattering calculations to also account for polarization. This allows us to provide general, exact expressions for the polarized Sunyaev-Zeldovich (SZ) effect sourced…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-17 Erik Rosenberg , Jens Chluba

Sensitive surveys of the Cosmic Microwave Background will detect thousands of galaxy clusters via the Sunyaev-Zel'dovich (SZ) effect. Two SZ observables, the central or maximum and integrated Comptonization parameters y_max and Y, relate in…

Astrophysics · Physics 2009-11-13 Daniel R. Wik , Craig L. Sarazin , Paul M. Ricker , Scott W. Randall

It is well known that Thomson scattering of CMB photons in galaxy clusters introduces new anisotropies in the CMB radiation field, but however little attention is payed to the fraction of CMB photons that are scattered off the line of…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Carlos Hernandez-Monteagudo , Rashid A. Sunyaev

The power spectrum of unresolved thermal Sunyaev-Zeldovich (tSZ) clusters is extremely sensitive to the amplitude of the matter fluctuations. This paper present an analysis of the tSZ power spectrum using temperature power spectra of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-16 George Efstathiou , Fiona McCarthy

The extremely high precision of current astronomical observations demands a much better theoretical treatment of relativistic effects in the propagation of electromagnetic signals through variable gravitational fields of isolated…

General Relativity and Quantum Cosmology · Physics 2014-08-19 Sergei Kopeikin , Pavel Korobkov

We analyse the approximation properties of the bivariate generalization of the family of Kantorovich type exponential sampling series. We derive the point-wise and Voronovskaya type theorem for these sampling type series. Using the modulus…

Functional Analysis · Mathematics 2020-07-21 Prashant Kumar , A. Sathish Kumar , Shivam Bajpyei

I discuss galaxy cluster surveys based on the Sunyaev--Zel'dovich effect and their relevance for cosmological studies. The unique aspects of cluster selection by this method are emphasized and certain issues of surveying are addressed.…

Astrophysics · Physics 2007-05-23 J. G. Bartlett

A complete picture of the gas thermodynamics around galaxies is imprinted on the cosmic microwave background (CMB). Indeed, the thermal, kinematic, and relativistic Sunyaev-Zel'dovich effects (tSZ, kSZ, rSZ) measure the gas density,…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-05 Sadaf Kadir , Bernardita Ried Guachalla , Sihan Yuan , Emmanuel Schaan , Risa H. Wechsler

The angular power spectrum of the Sunyaev-Zeldovich (SZ) effect is calculated in the $\Lambda$CDM cosmological model with the aim of investigating its detailed dependence on the cluster population, gas morphology, and gas evolution. We…

Astrophysics · Physics 2015-06-24 Sharon Sadeh , Yoel Rephaeli

Bobkov (J. Theoret. Probab. 18(2) (2005) 399-412) investigated an approximate de Finetti representation for probability measures, on product measurable spaces, which are symmetric under permutations of coordinates. One of the main results…

Probability · Mathematics 2014-01-03 Bero Roos

Magnification bias, an observational effect of gravitational lensing in the weak regime, allows testing the cosmological model through angular correlations of sources at different redshifts. This effect has been observed in various…

We determine the efficacy of the kinematic Sunyaev-Zel'dovich signal extraction pipeline, using pairwise kSZ measurements, in recovering unbiased estimates of the signal and inference of the associated optical depth. We consider the impact…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-15 Yulin Gong , Rachel Bean , Patricio A. Gallardo , Eve M. Vavagiakis , Nicholas Battaglia , Michael Niemack

Cosmography can be considered as a sort of a model-independent approach to tackle the dark energy/modified gravity problem. In this review, the success and the shortcomings of the $\Lambda$CDM model, based on General Relativity and standard…

General Relativity and Quantum Cosmology · Physics 2019-04-09 Salvatore Capozziello , Rocco D'Agostino , Orlando Luongo

We present a multifrequency and multi-instrument methodology to study the physical properties of galaxy clusters and cosmic filaments using cosmic microwave background observations. Our approach enables simultaneous measurement of both the…

We start from the QED Lagrangian to describe a charged many-particle system coupled to the radiation field. A covariant density matrix approach to kinetic theory of QED plasmas, subjected to a strong external electro-magnetic field has…

Quantum Physics · Physics 2009-11-07 A. Hoell , V. G. Morozov , G. Roepke

We introduce a compositional framework for convex analysis based on the notion of convex bifunction of Rockafellar. This framework is well-suited to graphical reasoning, and exhibits rich dualities such as the Legendre-Fenchel transform,…

Category Theory · Mathematics 2024-01-30 Dario Stein , Richard Samuelson

The peculiar motions of massive halos probe the distribution of matter in the universe, the gravitational potential, and the history of cosmic structure growth. The kinematic Sunyaev-Zeldovich (kSZ) effect offers a robust observational…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-24 Patricio A. Gallardo , Yulin Gong , Boryana Hadzhiyska , Yun-Hsin Hsu

We quantitatively compare a particle implementation of the adhesion approximation to fully non--linear, numerical nbody simulations. Our primary tool, cross--correlation of nbody simulations with the adhesion approximation, indicates good…

Astrophysics · Physics 2009-10-22 A. L. Melott , S. F. Shandarin , D. H. Weinberg
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