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fact that there are no invariants for a singe vector in a vector space under the group action of the automorphisms of the vector space, since any vector can be sent to any
We derive a precise link between series expansions of Gaussian random vectors in a Banach space and Parseval frames in their reproducing kernel Hilbert space.. The results are
(f) A possible reason why sub-fractional Brownian motion is the limit in the non-branching model with deterministic θ (Remark 2.3(a)) and in the branching model (Theorem 2.4(a)) is
We study lattice trees, lattice animals, and percolation on non-Euclidean lattices that correspond to regular tessellations of two- and three-dimensional hyperbolic space.. We
(2) Branching Mechanism Reconstruction: By reconstruction of the branching mech- anism, the variable coefficient σ ( x ) of the branching generator is transformed as a
Key words: multitype measure-valued branching processes; conditioned Dawson-Watanabe process; critical and subcritical Dawson-Watanabe process; conditioned Feller diffusion; re-
The branching property can be summarised into the fact that given her type and birth time, the daughter process of any individual born is independent of all individuals not in
Generically, in our hierarchical model the migration process that sustains an equilibrium is at the border to recurrence in the case of one-level branching, and at the border to
