Random variate generators are developed for the Poisson-Poisson (or generalized Poisson) distribution. The expected time per generated random variate is uniformly bounded over the parameter space. Random variate generation for related distributions is also discussed; these include the Abel and Ressel families, and a family introduced by Haight.

In this paper by using natural density real valued bounded sequence space $l_{\infty}$ is extented and statistical $l_{\infty}^{st}$ obtained. Besides the main properties of $l_{\infty}^{st}$, it shown that a Banach with norm produced help density. Also, there no matrix extension its sequences covers $l_{\infty}^{st}$. Finally, non-porous subset

Resource-bounded measure is a generalization of classical Lebesgue measure that is useful in computational complexity. The central parameter of resource-bounded measure is the resource bound ∆, which is a class of functions. When ∆ is unrestricted, i.e., contains all functions with the specified domains and codomains, resource-bounded measure coincides with classical Lebesgue measure. On the ot...

Borthwick, Lesniewski and Upmeier [“Nonperturbative deformation quantization of Cartan domains,” J. Funct. Anal. 113 (1993), 153–176] proved that on any bounded symmetric domain (Hermitian symmetric space of non-compact type), for any compactly supported smooth functions f and g , the product of the Toeplitz operators TfTg on the standard weighted Bergman spaces can be asymptotically expanded i...

we consider the transitive linear maps on the operator algebra $b(x)$for a separable banach space $x$. we show if a bounded linear map is norm transitive on $b(x)$,then it must be hypercyclic with strong operator topology. also we provide a sot-transitivelinear map without being hypercyclic in the strong operator topology.

Resource-bounded measure is a generalization of classical Lebesgue measure that is useful in computational complexity. The central parameter of resource-bounded measure is the resource bound ∆, which is a class of functions. When ∆ is unrestricted, i.e., contains all functions with the specified domains and codomains, resource-bounded measure coincides with classical Lebesgue measure. On the ot...