We consider a model in which massive stars form in a self-gravitating accretion disk around an active galactic nucleus. These stars may evolve and collapse to form compact objects on a time scale shorter than the accretion time, thus producing an important family of sources for LISA. Assuming the compact object formation/inspiral rate is proportional to the steady-state gas accretion rate, we u...

The main contribution of this manuscript is a local normal form for Hamiltonian actions Poisson-Lie groups $K$ on symplectic manifold equipped with an $AN$-valued moment map, where $AN$ the dual group $K$. Our proof uses delinearization theorem Alekseev which relates classical action $\mathfrak{k}^*$-valued map to via deformation structures. We obtain our result by proving ``delinearization com...

in this paper, countable compactness and the lindel¨of propertyare defined for l-fuzzy sets, where l is a complete de morgan algebra. theydon’t rely on the structure of the basis lattice l and no distributivity is requiredin l. a fuzzy compact l-set is countably compact and has the lindel¨ofproperty. an l-set having the lindel¨of property is countably compact if andonly if it is fuzzy compact. ...