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q-Analogs of the basic structures discussed in ‘Lie Algebras and Recurrence Relations I’ are presented. Theq-Heisenberg-Weyl (qHW) and qsl(2) algebras are discussed in detail. Presently it is known that such structures are very closely tied in with the theory of quantum groups. Among other...
We study the large-time behavior and rate of convergence to the invariant measures of the processes dX
ε(t)) dt + εσ(X
ε(t)) dB(t). A crucial constant Λ appears naturally in our study. Heuristically, when the time is of the order exp(Λ − α)/ε2 , the transition density has a good lower...
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