A field dependent su(2) gauge transformation connects between the adiabatic and diabatic pictures in the (Landau-Zener-Stueckelberg) level crossing problem. It is pointed out that weak and strong level crossing interactions are interchanged under this transformation, and thus realizing a naive strong and weak duality. A reliable perturbation theory is thus formulated in the both limits of weak ...

In association rule mining one intractable problem is the huge number of the extracted rules, especially, in the case of level-crossing association rules. In this paper, aiming at the redundancy produced during level-crossing association rules mining, an approach for eliminating level-crossing approximate redundant rules is proposed. In the method, the redundancies are divided combination with ...

The one-sided two-level crossing reduction problem is an important problem in hierarchical graph drawing. Because of its NPhardness there are many heuristics, such as the well-known barycenter and median heuristics. We consider the constrained one-sided two-level crossing reduction problem, where the relative position of certain vertex pairs on the second level is fixed. Based on the barycenter...

Macrodiversity system including macrodiversity SC receiver and two microdiversity SC receivers is considered in this paper. Received signal experiences, simultaneously, both, long term fading and short term fading. Microdiversity SC receivers reduce Rayleigh fading effects on system performance and macrodiversity SC receivers mitigate Gamma shadowing effects on system performance. Closed form e...

In this paper, the product of two α-k-μ random variables is analyzed. The closed form expressions for average level crossing rate (LCR) of product of two α-k-μ random variables are determined. These expressions are used for calculation of average level crossing rate of wireless communication systems operating over α-k-μ multipath fading channels. The α-k-μ distribution can be used to describe s...