Diamond and λ-systems

Embeddings of λ-fold kite systems, λ ≥ 2

Double Λ Hypernuclei and the Λ-λ Interaction. *

We approximate the double Λ hypernuclei by systems composed by two interacting Λ’s moving in the mean field potential created by the nuclear cores. The Λ-core potentials are adjusted to reproduce the binding energies of the corresponding single Λ hypernuclei [1]. A σ-ω meson exchange potential [2] is used for the Λ-Λ interaction. We apply both the Hartree-Fock (HF) and variational approximation...

Ĝ Ĝ Λ 11 Λ 12 Λ 21 Λ 21 Λ 22 Λ 22 Λ Λ̃ 0 0 Λ̂

In this paper we present an algorithm for pricing barrier options in one-dimensional Markov models. The approach rests on the construction of an approximating continuous-time Markov chain that closely follows the dynamics of the given Markov model. We illustrate the method by implementing it for a range of models, including a local Lévy process and a local volatility jump-diffusion. We also pro...

Composition-Diamond lemma for λ-differential associative algebras with multiple operators

In this paper, we establish the Composition-Diamond lemma for λ-differential associative algebras over a field K with multiple operators. As applications, we obtain Gröbner-Shirshov bases of free λ-differential Rota-Baxter algebras. In particular, linear bases of free λ-differential Rota-Baxter algebras are obtained and consequently, the free λ-differential Rota-Baxter algebras are constructed ...

Spongy Diamond

Rhombellanes are mathematical structures existing in various environments, in crystal or quasicrystal networks, or even in their homeomorphs, further possible becoming real molecules. Rhombellanes originate in the K2.3 complete bipartite graph, a tile found in the linear polymeric staffanes. In close analogy, a rod-like polymer derived from hexahydroxy-cyclohexane was imagined. Further, the ide...