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Chapter and Conference Paper
Multiplicative functionals and the stable topology
The notion of a randomized stop** time has various applications in probability. Here it is shown that stable compactness for randomized stop** times is especially useful in the case of randomized stop** ...
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Chapter and Conference Paper
Convergence theorems in the theory of diffusions
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Article
Sample path consistency for Markov processes
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Article
Generalised arc length for brownian motion and Lévy processes
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Chapter and Conference Paper
Spatial trajectories
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Article
A fundamental property of Markov processes with an application to equivalence under time changes
It is shown that Markov processes traverse their trajectories in just one way, and applications are given to the Blumenthal, Getoor and McKean theorem.
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Article
Compactness of stop** times
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Chapter and Conference Paper
One-dimensional potential embedding
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Article
On convergence of vector-valued asymptotic martingales
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Chapter and Conference Paper
Approximation and spectral multiplicity
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Chapter and Conference Paper
Approximation and invariance
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Article
Commuting point transformations
The question considered is the following: If two invertible measure preserving point transformations commute, in what sense is one a function of the other? The main theorem is the following: If two invertible ...
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Article
A convexity theorem for positive operators
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Article
Approximation and invariant measures
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Article
Additive functionals