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The situation is only slightly more complicated when one of the polynomials φj is a binomial, since the latter has exactly one non-zero root..
The special case of exponentially distributed random variables was studied by Engel and Leuenberger (2003): Such random variables satisfy the first digit law only ap- proximatively,
We introduce a simple tree growth process that gives rise to a new two-parameter family of discrete fragmentation trees that extends Ford’s alpha model to multifurcating trees
In the case of a Markov chain over an infinite state space with a unique stationary distribution, the notion of a mixing time depends on the state of origination of the
Specifically, the computation of the optimal stopping signal at a given point is reduced to finding the infimum of an auxiliary function of one variable that can be computed
In the attractive case, Gill proves the equivalent of our Theorem 16 (see later): on S , the mass normalized process converges almost surely to the stationary distribution of
The main step in the proof of Theorem 1 (ii) will be Theorem 10 below, which states that within a cube of appropriate size, the final configuration of the model resembles
The paper studies the exponential and non–exponential convergence rate to zero of solutions of scalar linear convolution Itˆ o-Volterra equations in which the noise intensity
