This study after reviewing  construction methods of generators in Archimedean copulas (AC),  proposes several useful lemmas related with generators of AC. Then a new trigonometric Archimedean family will be shown which is based on cotangent function. The generated new family is able to model the low dependence structures.

Let F be a non-archimedean local field with odd residual characteristic. Let G be the group SL2(F ). We construct explicit Whittaker models for any supercuspidal representation of G with positive level.

We define an integral domain D to be anti-Archimedean if ⋂∞ n=1 a nD 6= 0 for each 0 6= a ∈ D. For example, a valuation domain or SFT Prüfer domain is anti-Archimedean if and only if it has no height-one prime ideals. A number of constructions and stability results for anti-Archimedean domains are given. We show that D is anti-Archimedean ⇔ D[[X1, . . .

Given a reductive group over complete non-Archimedean field, it is well known that techniques from analytic geometry provide an embedding of the corresponding Bruhat–Tits building into space associated with group; by composing maps to suitable proper spaces, this eventually leads various compactifications building. In present paper, we give intrinsic characterization embedding.

Motivated by the first search for rare charged-current $B$ decay to four leptons, $\ell \bar{\nu}_\ell \ell^{(\prime)} \bar{\ell}^{(\prime)}$, we calculate amplitude with factorization methods. We obtain $B\to \gamma^*$ form factors, which depend on invariant masses of two lepton pairs, at leading power in an expansion $\Lambda_{\rm QCD}/m_b$ next-to-leading order $\alpha_s$, and $\mathcal{O}(\...

BACKGROUND The chromosomal translocation t(11;19)(q23;p13) with a breakpoint within subband 19p13.1 is found mainly in acute myeloid leukemia (AML) and results in the MLL-ELL fusion gene. Variations in the structure of MLL-ELL seem to influence the leukemogenic potency of the fusion in vivo and may lie behind differences in clinical features. The number of cases reported so far is very limited ...

Assuming absolute continuity of marginals, we give the distribution for sums of dependent random variables from some class of Archimedean copulas and the marginal distribution functions of all order statistics.We use conditional independence structure of random variables from this class of Archimedean copulas and Laplace transform. Additionally, we present an application of our results to VaR e...