TY - GEN AV - public A1 - Casas Castro, Santiago N2 - In this thesis we investigate the importance of non-linear structure formation on the determination of cosmological parameters for models beyond the standard ?CDM scenario. Future galaxy surveys will be able to determine the two-point correlation function of more than 10^7 galaxies in a very precise way. Extracting the information encoded in this function at small scales, allows us to constrain the underlying cosmological model. Here we consider different models beyond ?CDM: Coupled Dark Energy, Growing Neutrino Quintessence, Effective Field Theory, Horndeski theory and general phenomenological parameterizations of Modified Gravity. To study the non-linear effects in these models, we use different methodologies: fitting formulae, semi-analytic prescriptions based on the Halo model, resummation methods in cosmological perturbation theory and specialized N-body simulations. In order to forecast the constraining power of next-generation surveys, such as Euclid, SKA and DESI, we developed a code that uses the Bayesian Fisher matrix for- malism to compute the inferred error on the parameters for Galaxy Clustering and Weak Lensing observables. For Modified Gravity we study the effect that different parameterizations and different non-linear prescriptions have on the Fisher forecasts. We obtain the best combination of redshift-binned parameters which will be measured by future experiments. Within the Coupled Dark Energy scenario we perform the first forecasts using fitting formulae from N-body simulations and show that using non-linear scales improves the constraints by more than an order of magnitude compared to linear forecasts. In the Growing Neutrino Quintessence model, we use non-Newtonian N-body simulations to study the different regimes for the dynamics of neutrino lumps. We show that there are viable cosmologies within this model and that the lump interactions induce a heating of the neutrino fluid. Finally, we also study analytically the non-linear corrections to the power spectrum in the case of Horndeski theory under the quasistatic approximation. To achieve this, we apply a resummation method for higher order perturbation theory, which had so far only been employed within the standard cosmological model. The main message of this thesis is that non-linear structure formation has a significant impact on cosmological parameter estimation. In order to discriminate between competing theories, using forthcoming data, we need to take non-linearities and their implications into account. UR - https://archiv.ub.uni-heidelberg.de/volltextserver/23120/ ID - heidok23120 TI - Non-linear structure formation in models of Dark Energy and Modified Gravity Y1 - 2017/// ER -