getdoc5e4f. 263KB Jun 04 2011 12:04:25 AM
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Using percolation on the branches of a Galton-Watson tree, Aldous and Pitman constructed by time-reversal in [4] an inhomogeneous tree-valued Markov process that starts from the
Richmond studies the asymptotic behaviour for partition functions and their differences for sets satisfying certain stronger conditions.. The results none-the-less apply to the cases
Remark For our special choice of the selection matrix (additive selection) the last term in (1.13) can be simplified and this will be used occasionally so we write this out
On the one hand, it is well-known from the work of Aldous [1] that the uniform random tree on a set of n vertices can be rescaled (specifically edges by a factor 1 / p n and masses
It follows from our Theorem 2.1 that the limit results proved for heights and (or) lengths of excursions for the case of Brownian motion remain valid for similar quantities of
(1.4). This enables us to deduce the asymptotic behaviour of the statistic as the length of the interval over which it is defined goes to infinity. We give a precise formula for
Since the behaviour of the Fourier series, as far as convergence is concerned, for a particular value of x depends on the behaviour of the function in the immediate neighbourhood
Then according to the remark in Section 8.2.3, the statement of Theorem 3.8 holds if the tensor product M ( z ) is considered for generic z and generic (not necessarily diagonal)
