We study a holomorphic Poisson structure defined on the linear space $S(n,d):= {\rm Mat}_{n\times d}(\mathbb{C}) \times Mat}_{d\times n}(\mathbb{C})$ that is covariant under natural left actions of standard ${\rm GL}(n,\mathbb{C})$ and GL}(d,\mathbb{C})$ Poisson-Lie groups. The brackets matrix elements contain quadratic constant terms, tensor non-degenerate dense subset. Taking $d=1$ special ca...

This paper consists of two parts. In the first part we show that any Poisson algebraic group over a field of characteristic zero and any Poisson Lie group admits a local quantization. This answers positively a question of Drinfeld and generalizes the results of [BFGP] and [BP]. In the second part we apply our techniques of quan-tization to obtain some nontrivial examples of quantization of Pois...

b a c k g r o u n d & aim: the excess hazard rate proposed by andersen and vaeth may underestimate the long-term excess hazard rate for cancer survival. zahl explained the phenomenon by continuous selection of the most robust individuals after diagnosis. he applied correlated inverse gaussian and gamma  frailty  models  to estimate  excess  intensity  and reached  a better  estimate  of the rat...

Consider a Poisson structure on C∞(R3,R) with bracket {, } and suppose that C is a Casimir function. Then {f, g} =< ∇C, (∇g × ∇f) > is a possible Poisson structure. This confirms earlier observations concerning the Poisson structure for Hamiltonian systems that are reduced to a one degree of freedom system and generalizes the Lie-Poisson structure on the dual of a Lie algebra and the KKS-symple...