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2013

The importance of stepping up in the excursion set approach

Musso, Marcello, Sheth, Ravi K.

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Recently, we provided a simple but accurate formula which closely approximates the first crossing distribution associated with random walks having correlated steps.

The approximation is accurate for the wide range of barrier shapes of current interest and is based on the requirement that, in addition to having the right height, the walk must cross the barrier going upwards.
Therefore, it only requires knowledge of the bivariate distribution of the walk height and slope, and is particularly useful for excursion set models of the massive end of the halo mass function.
However, it diverges at lower masses.

The importance of stepping up in the excursion set approach · Around

Built on

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Then

Musso M., Sheth R. K., 2012, MNRAS, 423, L102
2012
Later among the works it cites.
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Closest in time.
Musso M., Sheth R. K., 2013
2013
Closest in time.

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