This is a preview. Log in through your library . Abstract The distributions of random walk quantities like ascending ladder heights and the maximum are shown to be phase-type provided that the generic ...

Random walks constitute a foundational concept in probability theory, describing the seemingly erratic movement of particles or agents as they traverse a space in a series of stochastic steps. In many ...

We develop a new, random walk-based, algorithm for the Hamiltonian cycle problem. The random walk is on pairs of extreme points of two suitably constructed polytopes. The latter are derived from ...

The random walk theorem, first presented by French mathematician Louis Bachelier in 1900 and then expanded upon by economist Burton Malkiel in his 1973 book A Random Walk Down Wall Street, asserts ...

Intrinsic structure of amorphous polymers is highly disorder with long molecular chains entangled with each other. They are usually considered as thermal insulator due to their ultra-low thermal ...