Recurrence and Invariant Measures for Degenerate Diffusions
Copyright policy )Recurrence and Invariant Measures for Degenerate Diffusions
Let \(A_ 0,...,A_ m\) be smooth vector fields on a smooth d-dimensional manifold M. The diffusion process \(X_ t\) with differential generator \(A_ 0+2^{-1}\sum^{m}_{1}A^ 2_ i\) is degenerate if at some point the Lie algebra generated by \(A_ 1,...,A_ m\) has dimension less than d. In such degenerate cases the author studies existence of invariant measures, points of recurrence, etc.
invariant measures, recurrence, Stochastic integrals, Lie algebra, geometric control theory, hypoellipticity, existence of invariant measures, points of recurrence, Degenerate diffusions, Diffusion processes, 60J60
invariant measures, recurrence, Stochastic integrals, Lie algebra, geometric control theory, hypoellipticity, existence of invariant measures, points of recurrence, Degenerate diffusions, Diffusion processes, 60J60
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).123 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 1% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!