Anirban Das
Published 2016-05-23Version 1
Recently Belopolskaya and Suhov studied Markov process's in a random environment, where the environment changes in likeness to a Markov process. Constructions were made to allow the process to "interact with the environment", this was done in such a manner that the combined process could be studied by studying the individual ones. A new construction is made which has similar properties. This construction can be carried out with more relaxed conditions than the ones previously done.
Construction of Directed Assortative Configuration Graphs
On the construction of Bessel house-moving and its properties
Diffusions on a space of interval partitions: construction from Bertoin's ${\tt BES}_0(d)$, $d\in(0,1)$
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