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Relying on known results for Banach space valued polynomials, we extend and unify integrability for seminorms results to random elements that are not necessarily limits of Banach
Subordinated processes are processes constructed from integral representations with random kernels, or said another way, where the stable random measure (of the integral
In Section 3 we give some simple examples of how to use Theorems 1.1 and 1.2 to estimate the expected value of the norm of Hilbert space valued infinitely divisible random variables
Section 3 gives estimates on the first and second moments of the killed branching random walk, while Section 4 contains the asymptotics on the tail distribution of the maximal
• Once the center becomes sated (the measure of it’s territory reaches it’s appetite), the ball stops growing?. Note that from our choice of function f it follows that the set
The first example of a family of bounded-degree graphs where the random walk exhibits cutoff in total-variation was provided only very recently, when the authors showed this for
Key words: multitype measure-valued branching processes; conditioned Dawson-Watanabe process; critical and subcritical Dawson-Watanabe process; conditioned Feller diffusion; re-
Keywords Catalyst, reactant, measure-valued branching, interactive branching, state-dependent branch- ing, two-dimensional process, absolute continuity, self-similarity,