Joint distribution of spins

The Distribution and Cosmic Evolution of Massive Black Hole Spins

We study the expected distribution of massive black hole (MBH) spins and its evolution with cosmic time in the context of hierarchical galaxy formation theories. Our model uses Monte Carlo realizations of the merger hierarchy in a ΛCDM cosmology, coupled to semi-analytical recipes, to follow the merger history of dark matter halos, the dynamics of the MBHs they host, and their growth via gas ac...

) Spins

Feinerman [2] and Trachtenberg [3] investigated the fairness of a simplified model of dreidel. Zeilberger [4] conjectured that the expected number of spins in a game of dreidel between two players starting with n tokens each is O(n2). Later, Banderier [1] conjectured that even in a multi-player game, the expected number of spins before one of the players goes home is O(n2). We show that the exp...

THE JOINT DISTRIBUTION OF q-ADDITIVE FUNCTIONS

Recoverability of Joint Distribution from Missing Data

A probabilistic query may not be estimable from observed data corrupted by missing values if the data are not missing at random (MAR). It is therefore of theoretical interest and practical importance to determine in principle whether a probabilistic query is estimable from missing data or not when the data are not MAR. We present an algorithm that systematically determines whether the joint pro...

Tail spins

comment on essays from students in other countries, and — worst of all — provide information for incessant bureaucratic enquiries that should not be taking place at all. Non-compliance is rapidly followed by a further enquiry or a thinly veiled reprimand for being forgetful or hurtful or not attending to emails. It is madness. Is science organised effectively? Science can be pricey and the publ...