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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...
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...
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