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Weak lensing surveys are expected to provide direct measurements of the statistics of the projected dark matter distribution. Most analytical studies of weak lensing statistics have been limited to quasilinear scales as they relied on…

Astrophysics · Physics 2009-10-31 Dipak Munshi , Bhuvnesh Jain

We study the optimal use of third order statistics in the analysis of weak lensing by large-scale structure. These higher order statistics have long been advocated as a powerful tool to break measured degeneracies between cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2009-12-15 S. Vafaei , T. Lu , L. van Waerbeke , E. Semboloni , C. Heymans , U. L. Pen

We study the statistics of weak lensing convergence peaks, such as their abundance and two-point correlation function (2PCF), for a wide range of cosmological parameters $\Omega_m$ and $\sigma_8$ within the standard $\Lambda$CDM paradigm,…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-08 Christopher T. Davies , Marius Cautun , Baojiu Li

We examine scatter and bias in weak lensing selected clusters, employing both an analytic model of dark matter haloes and numerical mock data of weak lensing cluster surveys. We pay special attention to effects of the diversity of dark…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Takashi Hamana , Masamune Oguri , Masato Shirasaki , Masanori Sato

The weak lensing power spectrum is a powerful tool to probe cosmological parameters. Additionally, lensing peak counts contain cosmological information beyond the power spectrum. Both of these statistics can be affected by the preferential…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-07 Jia Liu , Zoltán Haiman , Lam Hui , Jan M. Kratochvil , Morgan May

Large-scale structure projections are an obstacle in converting the shear signal of clusters detected in weak-lensing maps into virial masses. However, this step is not necessary for constraining cosmology with the shear-peak abundance, if…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Laura Marian , Robert E. Smith , Gary M. Bernstein

Analytical expressions for covariances of weak lensing statistics related to the aperture mass $\Map$ are derived for realistic survey geometries such as SNAP for a range of smoothing angles and redshift bins. We incorporate the…

Astrophysics · Physics 2009-11-10 Dipak Munshi , Patrick Valageas

We apply the inverse-Gaussianization method proposed in \citealt{arXiv:1607.05007} to fast produce weak lensing convergence maps and investigate the peak statistics, including the peak height counts and peak steepness counts, in these…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-13 Zhao Chen , Yu Yu , Xiangkun Liu , Zuhui Fan

Dark matter cannot be observed directly, but its weak gravitational lensing slightly distorts the apparent shapes of background galaxies, making weak lensing one of the most promising probes of cosmology. Several observational studies have…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-18 Dezső Ribli , Bálint Ármin Pataki , István Csabai

We present a new method to extract cosmological constraints from weak lensing (WL) peak counts, which we denote as `the hierarchical algorithm'. The idea of this method is to combine information from WL maps sequentially smoothed with a…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Laura Marian , Robert E. Smith , Stefan Hilbert , Peter Schneider

Focusing on the well motivated aperture mass statistics $\Map$, we study the possibility of constraining cosmological parameters using future space based SNAP class weak lensing missions. Using completely analytical results we construct the…

Astrophysics · Physics 2007-05-23 Dipak Munshi , Patrick Valageas

Weak gravitational lensing (WL) peak statistics capture cosmic non-linear structures and can provide additional cosmological information complementary to cosmic shear two-point correlation analyses. They have been applied to different WL…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-15 Tianyu Zhang , Xiangkun Liu , Ziwei Li , Chengliang Wei , Guoliang Li , Yu Luo , Xi Kang , Zuhui Fan

Weak lensing peak abundance analyses have been applied in different surveys and demonstrated to be a powerful statistics in extracting cosmological information complementary to cosmic shear two-point correlation studies. Future large…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-06 Shuo Yuan , Chuzhong Pan , Xiangkun Liu , Qiao Wang , Zuhui Fan

Weak lensing of galaxies by large scale structure can potentially measure cosmological quantities as accurately as the cosmic microwave background (CMB). However, the relation between observables and fundamental parameters is more complex…

Astrophysics · Physics 2009-10-31 Wayne Hu , Max Tegmark

We explore the dependence of weak lensing phenomena on the background cosmology. We first generalise the relation between $P_\psi(\omega)$, the angular power spectrum of the distortion, and the power spectrum of density fluctuations to…

Astrophysics · Physics 2009-10-28 Nick Kaiser

We present the results of weak gravitational lensing statistics in four different cosmological $N$-body simulations. The data has been generated using an algorithm for the three-dimensional shear, which makes use of a variable softening…

Astrophysics · Physics 2009-10-31 Andrew J. Barber , Peter A. Thomas , H. M. P. Couchman , C. J. Fluke

Massive cosmic neutrinos change the structure formation history by suppressing perturbations on small scales. Weak lensing data from galaxy surveys probe the structure evolution and thereby can be used to constrain the total mass of the…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-28 Zack Li , Jia Liu , José Manuel Zorrilla Matilla , William R. Coulton

Weak gravitational lensing is one of the key probes of the cosmological model, dark energy, and dark matter, providing insight into both the cosmic expansion history and large scale structure growth history. Taking into account a broad…

Cosmology and Nongalactic Astrophysics · Physics 2012-11-12 Sudeep Das , Roland de Putter , Eric V. Linder , Reiko Nakajima

We present the main results of a numerical study of weak lensing cluster counting. We examine the scaling with cosmology of the projected-density-peak mass function. Our main conclusion is that the projected-peak and the three-dimensional…

Astrophysics · Physics 2011-02-11 Laura Marian , Robert E. Smith , Gary M. Bernstein

We present a novel statistic to extract cosmological information in weak lensing data: the lensing minima. We also investigate the effect of baryons on the cosmological constraints from peak and minimum counts. Using the \texttt{MassiveNuS}…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-06 William R. Coulton , Jia Liu , Ian G. McCarthy , Ken Osato