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Stochastic Dynamical Systems and Control |
| March 26, 2007 to March 30, 2007 |
| Organized By: Jonathan Mattingly (Duke), Igor Mezic (UCSB-Chair), Andrew Stuart (Warwick) |
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| Parent Programs: |
| Dynamical Systems |
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| Return to Workshop Description |
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On approximation by discontinuous superprocesses
Thursday March 29, 2007
03:30PM - 04:00PM
Speakers:
Vladimir Vinogradov
Abstract:
We prove local limit theorems for total masses of two
branching-diffusing
particle systems which converge to discontinuous
$(2,d,\beta)$-superprocess. We establish new properties of
the total mass for these superprocesses. Both particle systems are
characterized by the same heavy-tailed
branching mechanism. One of them starts from a Poisson field, whereas the
initial number
of particles for the other system is non-random. The
poissonization is related to Gnedenko's method of accompanying
infinitely divisible laws. We observe a worse discrepancy between the
extinction probabilities than in
the continuous case.
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