Crossing numbers of random two-bridge knots
Sign Up to like & getrecommendations! Published in 2018 at "Topology and its Applications"
DOI: 10.1016/j.topol.2018.08.001
Abstract: Abstract In a previous work, the first and third authors studied a random knot model for all two-bridge knots using billiard table diagrams. Here we present a closed formula for the distribution of the crossing… read more here.
Keywords: bridge knots; two bridge; crossing numbers; numbers random ... See more keywords
Prime numbers and random walks in a square grid.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.104.054114
Abstract: In recent years, computer simulations have played a fundamental role in unveiling some of the most intriguing features of prime numbers. In this paper, we define an algorithm for a deterministic walk through a two-dimensional… read more here.
Keywords: square grid; walk; numbers random; random walks ... See more keywords