The Topology of Weak Lensing Fields | Zendy

Takahiko Matsubara | Zendy; Bhuvnesh Jain | Zendy

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The Topology of Weak Lensing Fields

Author(s) -

Takahiko Matsubara,

Bhuvnesh Jain

Publication year - 2001

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/320327

Subject(s) - weak gravitational lensing , smoothing , gaussian , gravitational lensing formalism , physics , topology (electrical circuits) , measure (data warehouse) , statistic , gaussian noise , gravitational lens , gaussian random field , genus , statistical physics , mathematics , astrophysics , gaussian function , statistics , algorithm , computer science , redshift , quantum mechanics , data mining , combinatorics , galaxy , botany , biology

The topology of weak lensing fields is studied using the 2-dimensional genusstatistic. Simulated fields of the weak lensing convergence are used to focuson the effect of nonlinear gravitional evolution and to model the statisticalerrors expected in observational surveys. For large smoothing angles, thetopology is in agreement with the predictions from linear theory. On smoothingangles smaller than 10', the genus curve shows the non-Gaussian signatures ofgravitational clustering and differs for open and flat cold dark matter models.Forthcoming surveys with areas larger than 10 square degrees should haveadequate signal-to-noise to measure the non-Gaussian shape and the$\Omega$-dependence of the genus statistic.Comment: 6 pages, 3 figures, to be published in ApJL (vol. 552

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