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The main obstacle for gravitational lensing to determine accurate masses of deflectors, or to determine precise estimates for the Hubble constant, is the degeneracy of lensing observables with respect to the mass-sheet transformation (MST).…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-08 Peter Schneider , Dominique Sluse

Gravitational microlensing is a unique method for discovering cold planets across a broad mass range. Reliable statistics of the microlensing planets require accurate sensitivity estimates. However, the impact of the degeneracies in…

Earth and Planetary Astrophysics · Physics 2025-11-24 Yuxin Shang , Hongjing Yang , Jiyuan Zhang , Shude Mao , Andrew Gould , Weicheng Zang , Qiyue Qian , Jennifer C. Yee

Astrometric observations of microlensing events were originally proposed to determine the lens proper motion with which the physical parameters of lenses can be better constrained. In this proceeding, we demonstrate that besides this…

Astrophysics · Physics 2007-05-23 Cheongho Han

Today, more than 12 million people over the age of 40 suffer from ocular diseases. Most commonly, older patients are susceptible to age related macular degeneration, an eye disease that causes blurring of the central vision due to the…

Image and Video Processing · Electrical Eng. & Systems 2022-05-03 Ananya Dua , Pham Hung Minh , Sajid Fahmid , Shikhar Gupta , Sophia Zheng , Vanessa Moyo , Yanran Elisa Xue

The current modelling of single microlensing light curves neglects the possibility that only a fraction of the light is due to the lensed star, the remaining being due to a close, unresolved blend, which may be related or unrelated to the…

Astrophysics · Physics 2009-10-30 Przemyslaw Wozniak , Bohdan Paczynski

If a microlensing event is caused by a star, the event can exhibit change in color due to the light from the lens. In the previous and current lensing surveys, the color shift could not be used to constrain the lens population because the…

Astrophysics · Physics 2009-11-13 Byeong-Gon Park , Cheongho Han

We study degeneracies between parameters in some of the widely used parametrized modified gravity models. We investigate how different observables from a future photometric weak lensing survey such as LSST, correlate the effects of these…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Alireza Hojjati

The luminosity variation of a stellar source due to the gravitational microlensing effect can be considered also if the light rays are defocused (instead of focused) toward the observer. In this case, we should detect a gap instead of a…

The free streaming length of dark matter particles determines the abundance of structure on sub-galactic scales. We present a statistical technique, amendable to any parameterization of subhalo density profile and mass function, to probe…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-29 Daniel Gilman , Simon Birrer , Tommaso Treu , Charles R. Keeton , Anna Nierenberg

Microlensing is most sensitive to binary lenses with relatively large orbital separations, and as such, typical binary microlensing events show little or no orbital motion during the event. However, despite the strength of binary…

Astrophysics of Galaxies · Physics 2015-05-28 Matthew T. Penny , Eamonn Kerins , Shude Mao

In the process of analyzing an observed light curve, one often confronts various scenarios that can mimic the planetary signals causing difficulties in the accurate interpretation of the lens system. In this paper, we present the analysis…

We investigate whether the "close/wide" class of degeneracies in caustic-crossing binary microlensing events can be broken astrometrically. Dominik showed that these degeneracies are particularly severe because they arise from a degeneracy…

Astrophysics · Physics 2009-10-31 Andrew Gould , Cheongho Han

Thanks to missions like Kepler and TESS, we now have access to tens of thousands of high precision, fast cadence, and long baseline stellar photometric observations. In principle, these light curves encode a vast amount of information about…

Solar and Stellar Astrophysics · Physics 2021-09-08 Rodrigo Luger , Daniel Foreman-Mackey , Christina Hedges , David W. Hogg

Microlensing of stars in strongly lensed galaxies can lead to temporary extreme magnification factors ($\mu\!>\!1000$), enabling their detection at high redshifts. Following the discovery of Icarus, several stars at cosmological distances…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-03 J. M. Palencia , J. M. Diego , B. J. Kavanagh , J. Martinez

In recent years, breakthroughs in methods and data have enabled gravitational time delays to emerge as a very powerful tool to measure the Hubble constant $H_0$. However, published state-of-the-art analyses require of order 1 year of expert…

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