The asymptotic stability of stochastic kernel operators
A stochastic operator is a positive linear contraction, P : L1 --+ L1, such that llPfII2 = llfll1 for f > 0. It is called asymptotically stable if the iterates pn f of each density converge in the norm to a fixed density. Pf(x) = f K(x,y)f(y)dy, where K( ·, y) is a density, defines a stoch...
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Format: | Others |
Language: | en |
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2015
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Online Access: | Brown, Thomas John (1997) The asymptotic stability of stochastic kernel operators, University of South Africa, Pretoria, <http://hdl.handle.net/10500/16068> http://hdl.handle.net/10500/16068 |