Gradually, the $\Lambda$CDM model starts to be challenged by observational data. Upcoming cosmological surveys will increase number of detected galaxy clusters several orders magnitude. Therefore, shortly, provide tremendous constraints on cosmology and sharpen our understanding structure formation. However, a reliable framework is required analyse future Euclid-like catalogs. We build cluster ...

Galaxy clusters and cosmic voids, the most extreme objects of our Universe in terms mass size, trace two opposite sides large-scale matter density field. By studying their abundance as a function radius, respectively, i.e. halo (HMF) void size (VSF), it is possible to achieve fundamental constraints on cosmological model. While HMF has already been extensively exploited providing robust main mo...