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Stellar streams retain a memory of their gravitational interactions with small-scale perturbations. While perturbative models for streams have been formulated in action-angle coordinates, a direct transformation to these coordinates is only…

Using a novel two-dimensional coordinate system, we have derived a particularly simple way to express the redshift distortions in galaxy redshift surveys with arbitrary geometry in closed form. This method provides an almost ideal way to…

Astrophysics · Physics 2009-10-30 Alexander S. Szalay , Takahiko Matsubara , Stephen D. Landy

There is a well known degeneracy between the enhancement of the growth of large-scale structure produced by modified gravity models and the suppression due to the free-streaming of massive neutrinos at late times. This makes the matter…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-04 Bill S. Wright , Kazuya Koyama , Hans A. Winther , Gong-Bo Zhao

We present predictions for redshift-space peculiar velocity statistics in the Lagrangian and Eulerian formulations of the effective field theory (EFT) of large-scale structure. We compute 2-point pairwise velocity statistics up to the…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-07 Shi-Fan Chen , Cullan Howlett , Yan Lai , Fei Qin

Leveraging the decomposability of the fast Fourier transform, I propose a new class of tensor network that is efficiently contractible and able to represent many-body systems with local entanglement that is greater than the area law.…

Quantum Physics · Physics 2014-07-09 Andrew J. Ferris

The 2dF Galaxy Redshift Survey (2dFGRS) has produced a three-dimensional map of the distribution of 221,000 galaxies covering 5% of the sky and reaching out to a redshift z=0.3. This is first map of the large-scale structure in the local…

Astrophysics · Physics 2007-05-23 Matthew Colless

We have investigated the statistical clustering properties of galaxies by calculating the 2-point galaxy correlation function from the Durham/UKST Galaxy Redshift Survey. This survey is magnitude limited to bj = 17, contains 2500 galaxies…

Astrophysics · Physics 2009-10-30 A. Ratcliffe , T. Shanks , Q. A. Parker , R. Fong , .

Three-dimensional double-diffusive convection in a horizontally infinite layer of an uncompressible fluid interacting with horizontal vorticity field is considered in the neighborhood of Hopf bifurcation points. A family of amplitude…

Pattern Formation and Solitons · Physics 2014-05-14 S. B. Kozitskiy

We present a fully relativistic calculation of the observed galaxy number counts in the linear regime. We show that besides the density fluctuations and redshift-space distortions, various relativistic effects contribute to observations at…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-09 Camille Bonvin

We introduce a Lagrangian-space Effective Field Theory (LEFT) formalism for the study of cosmological large scale structures. Unlike the previous Eulerian-space construction, it is naturally formulated as an effective field theory of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Rafael A. Porto , Leonardo Senatore , Matias Zaldarriaga

Recently Eisenstein and collaborators introduced a method to `reconstruct' the linear power spectrum from a non-linearly evolved galaxy distribution in order to improve precision in measurements of baryon acoustic oscillations. We…

Astrophysics · Physics 2009-11-06 Nikhil Padmanabhan , Martin White , J. D. Cohn

This paper presents an end-to-end neural architecture based on Diffusion Models for spatial puzzle solving, particularly jigsaw puzzle and room arrangement tasks. In the latter task, for instance, the proposed system "PuzzleFusion" takes a…

Artificial Intelligence · Computer Science 2023-10-05 Sepidehsadat Hosseini , Mohammad Amin Shabani , Saghar Irandoust , Yasutaka Furukawa

These are advanced lecture notes covering recent developments in the methodology used to analyse galaxy surveys. The focus is particularly on direct measurements of the galaxy power spectrum although I also discuss its Fourier transform,…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-11 Will J. Percival

The power spectrum has long been the workhorse summary statistics for large-scale structure cosmological analyses. However, gravitational non-linear evolution moves precious cosmological information from the two-point statistics (such as…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-04 Davide Gualdi , Sergi Novell-Masot , Héctor Gil-Marín , Licia Verde

The large-scale structure of the Universe is a rich source of information to test the consistency of General Relativity on cosmological scales. We briefly describe how the observed distributions of galaxies is affected by redshift-space…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-17 Daniel Sobral-Blanco

One of the major science goals over the coming decade is to test fundamental physics with probes of the cosmic large-scale structure out to high redshift. Here we present a fully Bayesian approach to infer the three-dimensional cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-09 Natalia Porqueres , Jens Jasche , Guilhem Lavaux , Torsten Enßlin

We develop a perturbative approach to redshift space distortions (RSD) using the phase space distribution function approach and apply it to the dark matter redshift space power spectrum and its moments. RSD can be written as a sum over…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Zvonimir Vlah , Uroš Seljak , Patrick McDonald , Teppei Okumura , Tobias Baldauf

We investigate the applicability of the two existing versions of a time-dependent Gutzwiller approximation (TDGA) beyond the frequently used limit of infinite spatial dimensions. To this end, we study the two-particle response functions of…

Strongly Correlated Electrons · Physics 2016-02-22 J. Bünemann , S. Wasner , E. v. Oelsen , G. Seibold

We develop a framework for efficient streaming reconstructions of turbulent velocity fluctuations from limited sensor measurements with the goal of enabling real-time applications. The reconstruction process is simplified by computing…

Fluid Dynamics · Physics 2023-06-29 Rahul Arun , H. Jane Bae , Beverley J. McKeon

Determining the Fourier representation of various molecular interactions is important for constructing density-based field theories from a microscopic point of view, enabling a multiscale bridge between microscopic and mesoscopic…

Chemical Physics · Physics 2024-04-10 Jaehyeok Jin , David R. Reichman