On transition semigroups of $(A,\Psi )$-superprocesses with immigration
Stannat, Wilhelm
Ann. Probab., Tome 31 (2003) no. 1, p. 1377-1412 / Harvested from Project Euclid
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We study the global properties of transition semigroups $(p_t^{\nu , \Psi , A})$ of $(A, \Psi )$-superprocesses over compact type spaces with possibly nonzero immigration $\nu$ in various function spaces. In particular, we compare the different rates of convergence of $(p_t^{\nu ,\Psi ,A})$ to equilibrium. Our analysis is based on an explicit formula for the Gateaux derivative of $p_t^{\nu ,\Psi , A} F$.
Publié le : 2003-07-14
Classification:  Superprocesses,  ergodic theorems,  gradient estimates,  Gamma processes,  short-time asymptotics.,  60J35,  47D07,  60F10,  60G57,  60J80,  60K35,  92D10 
@article{1055425784,
     author = {Stannat, Wilhelm},
     title = {On transition semigroups of $(A,\Psi )$-superprocesses with immigration},
     journal = {Ann. Probab.},
     volume = {31},
     number = {1},
     year = {2003},
     pages = { 1377-1412},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1055425784}
}

Stannat, Wilhelm. On transition semigroups of $(A,\Psi )$-superprocesses with immigration. Ann. Probab., Tome 31 (2003) no. 1, pp.  1377-1412. http://gdmltest.u-ga.fr/item/1055425784/