Convergence and shear statistics in galaxy clusters as a result of Monte
  Carlo simulations
  In this paper the influence of galaxy cluster halo environment on the
deflection properties of its galaxies is investigated. For this purpose
circular and elliptical projected cluster haloes obeying Einasto density
profiles are multiply simulated in the $\Lambda$CDM cosmological model. Using
Monte-Carlo technique external shear and convergence are calculated for random
positions of a test galaxy within its cluster. Throughout the simulations the
total virial mass, profile concentration and slope parameters are varied both
for cluster and its constituent galaxies. The cluster is composed of smooth
matter distribution (intergalactic gas and dark matter) and randomly positioned
galaxies. As a result of multiple runs robust statistical estimations of
external shear and convergence in relation to variable cluster characteristics
and and its redshift are derived. In addition, for the galaxy lens seen through
the cluster IRC-0218 magnification caused by external cluster mass distribution
is modelled.
