We consider decay properties regarding decay parameter and invariant measures of Markovian bulk-arrival and bulk-service queues with state-independent control. The exact value of the decay parameter, denoted by λz, i...We consider decay properties regarding decay parameter and invariant measures of Markovian bulk-arrival and bulk-service queues with state-independent control. The exact value of the decay parameter, denoted by λz, is firstly revealed. A criterion regarding ）λz-recurrence and λz-positive is obtained. The corresponding λz-subinvariant/invariant measures and λz-subinvariant/invariant vectors are then presented.展开更多
In this paper,we extend Fibonacci unimodal map to a wider class.We describe the combinatorial property of thesemaps by first return map and principal nest.We give the sufficient and necessary condition for the existen...In this paper,we extend Fibonacci unimodal map to a wider class.We describe the combinatorial property of thesemaps by first return map and principal nest.We give the sufficient and necessary condition for the existence of this class ofmaps.Moreover,for maps with’bounded combinatorics’,we prove that they have no absolutely continuous invariant probability measure when the critical order ι is sufficiently large;for maps with reluctantly recurrent critical point,we prove they have absolutely continuous invariant probability measure whenever the critical order ι>1.展开更多
文摘We consider decay properties regarding decay parameter and invariant measures of Markovian bulk-arrival and bulk-service queues with state-independent control. The exact value of the decay parameter, denoted by λz, is firstly revealed. A criterion regarding ）λz-recurrence and λz-positive is obtained. The corresponding λz-subinvariant/invariant measures and λz-subinvariant/invariant vectors are then presented.
文摘In this paper,we extend Fibonacci unimodal map to a wider class.We describe the combinatorial property of thesemaps by first return map and principal nest.We give the sufficient and necessary condition for the existence of this class ofmaps.Moreover,for maps with’bounded combinatorics’,we prove that they have no absolutely continuous invariant probability measure when the critical order ι is sufficiently large;for maps with reluctantly recurrent critical point,we prove they have absolutely continuous invariant probability measure whenever the critical order ι>1.
