The Cosmological Mass Function

Astronomy and Astrophysics – Astrophysics

Scientific paper

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PhD thesis, in press on Fund. Cosm. Phys.; 94 pages, figures included, fig. 3.7 simplified, Latex2e, epsfig

Scientific paper

This thesis aims to review the cosmological mass function problem, both from the theoretical and the observational point of view, and to present a new mass function theory, based on realistic approximations for the dynamics of gravitational collapse. Chapter 1 gives a general introduction on gravitational dynamics in cosmological models. Chapter 2 gives a complete review of the mass function theory. Chapters 3 and 4 present the ``dynamical'' mass function theory, based on truncated Lagrangian dynamics and on the excursion set approach. Chapter 5 reviews the observational state-of-the-art and the main applications of the mass function theories described before. Finally, Chapter 6 gives conclusions and future prospects.

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