Abstract A conditioned stochastic process can display a very different behavior from the unconditioned process. In particular, exhibit non-Gaussian fluctuations even if is Gaussian. this work, we revisit Ferrari–Spohn model of Brownian bridge to avoid moving wall, which pushes system into large-deviation regime. We extend an arbitrary number N non-crossing bridges. obtain joint distribution dis...

Path-addition is an operation that takes a graph and adds an internally vertex-disjoint path between two vertices together with a set of supplementary edges. Path-additions are just the opposite of taking minors. We show that some classes of graphs are closed under path-addition, including non-planar, right angle crossing, fan-crossing free, quasi-planar, (aligned) bar 1-visibility, and interva...

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...

The hairpin completion is a formal operation inspired from DNA biochemistry. It is known that the (one step) hairpin completion of regular language is linear contextfree, but not regular in general. It is decidable whether the (one step) hairpin completion of regular language is regular. However, it is an open question whether the iterated hairpin completion of a regular language is regular, ev...