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  1. We develop perturbation theory approaches to model the marked correlation function constructed to up-weight low density regions of the Universe, which might help distinguish modified gravity models from the standard cosmology model based on general relativity. Working within Convolution Lagrangian Perturbation Theory, we obtain that weighted correlation functions are expressible as double ...
    Author:Alejandro Aviles, Kazuya Koyama, Jorge L. Cervantes-Cota, Hans A. Winther, Hans A. Winther, Baojiu L...Published:2019
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  3. 2 Up-weighting low density regions with marked correlation functions A marked correlation function (mCF) [4,5,7{11] is de ned as the sum of pairs of objects separated by a distance r, weighted by the ratio of the mark function value to the mean mark m i=m at each point and divided by the number of pairs n(r): M(r) = X ijjr ij=r m im j R + +
    Author:Alejandro Aviles, Kazuya Koyama, Jorge L. Cervantes-Cota, Hans A. Winther, Hans A. Winther, Baojiu L...Published:2019
  4. iopscience.iop.org

    Compared with N-body simulations, the perturbation theory is found to provide accurate predictions for the marked correlation function of dark matter fields, dark matter halos as well as Halo Occupation Distribution galaxies down to 30 Mpc/h. These analytic approaches help to understand the degeneracy between the mark and the galaxy bias and ...
    Author:Alejandro Aviles, Kazuya Koyama, Jorge L Cervantes-Cota, Hans Arnold Winther, Hans Arnold Winther, B...Published:2020
  5. scidirect.org

    We find that different approaches agree within 1$\%$ on quasi non-linear scales. Compared with {\it N}-body simulations, the perturbation theory is found to provide accurate predictions for the marked correlation function of dark matter fields, dark matter halos as well as Halo Occupation Distribution galaxies down to $30$ Mpc/h.
  6. semanticscholar.org

    We develop perturbation theory approaches to model the marked correlation function constructed to up-weight low density regions of the Universe, which might help distinguish modified gravity models from the standard cosmology model based on general relativity. Working within Convolution Lagrangian Perturbation Theory, we obtain that weighted correlation functions are expressible as double ...
  7. academia.edu

    Marked correlation functions in perturbation theory . × ... During the development of the CLPT marked correlation functions theory we will clarify some points in the work of ref. [4]. Namely, the relation of the mark Taylor coefficients, C, with the resummed expansion parameters B. ... (CosTesGrav) and the UK Science and Technologies ...
  8. inspirehep.net

    Working within Convolution Lagrangian Perturbation Theory, we obtain that weighted correlation functions are expressible as double convolution integrals that we approximate using a combination of Eulerian and Lagrangian schemes. We find that different approaches agree within 1% on quasi non-linear scales.
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