getdoce646. 125KB Jun 04 2011 12:05:07 AM
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For the proof of Lemma 3 below we need a few facts on (ho- mogeneous) linear recurrence sequences with constant coefficients, for short... Indeed, we may even
In particular, the classification the- ory of primitive integral binary quadratic forms by SL(2 , Z) is recovered. Explicit fundamental domains for Γ( D, N ) allow the
Since no two collisions occur simultaneously, the number of collisions C n in the Λ-coalescent starting with n particles is the number of steps the Markov chain M n needs to
In particular, when the Markov process in question is a diffusion, we obtain the integral test corresponding to a law of the iterated logarithm due to
In particular, we show that non-trivial correlation measures have unbounded support, and that Md has a certain convexity property.. Using this convexity property, we construct
As a consequence of Theorem 3.2, Corollary 3.3 and Lemma 3.4, the following result gives the Hausdorff dimension and packing dimension of the intersection of two independent
Keywords stable regenerative set, Bochner’s subordination, Bolthausen-Sznitman coalescent, Poisson covering, zero sets of Bessel processes, two parameter Poisson-Dirichlet
Since the latter “distance” between measures involves an appropriate coupling, that is, finding the optimal way of “transporting” mass from one measure to another, it has been
