Excursion sets, peaks and other creatures: Improved analytical models of Large Scale Structure
DIPC Seminars
- Speaker
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Marcello Musso, EAIFR, Rwanda
- When
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2019/05/30
12:00 - Place
- Donostia International Physics Center
- Add to calendar
-
iCal
Abstract:
will present recent developments in the analytical methods to predict
abundance, clustering and bias of Dark Matter halos. The progenitors of Dark
Matter halos are usually identified with either sufficiently high peaks of the
initial matter density field, or with the largest spheres enclosing a
sufficiently high density. I will revise the physical assumptions leading to
this standard picture, and argue that protohalos should instead be defined as
minima of the energy, providing locations of convergence of the velocity
field.Together with a model of collapse, this assumption leads to a
surprisingly rich structure. This allows to make simple - yet remarkably
accurate - analytical
predictions for halo statistics, a necessary ingredient on the road to
precision cosmology. Along the way, I will present interesting new results on
the first passage statistics of random walks with correlated steps - a problem
of importance for many disciplines which deserves its own spotlight.
Host: Raul Angulo