Mixing of fast random walks on dynamic random permutations
Sign Up to like & getrecommendations! Published in 2024 at "Probability Theory and Related Fields"
DOI: 10.1007/s00440-025-01375-8
Abstract: We analyse the mixing profile of a random walk on a dynamic random permutation, focusing on the regime where the walk evolves much faster than the permutation. Two types of dynamics generated by random transpositions… read more here.
Keywords: random walks; fast random; mixing fast; permutation ... See more keywords
How fast does a random walk cover a torus?
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.012115
Abstract: We present high statistics simulation data for the average time 〈T_{cover}(L)〉 that a random walk needs to cover completely a two-dimensional torus of size L×L. They confirm the mathematical prediction that 〈T_{cover}(L)〉∼(LlnL)^{2} for large L,… read more here.
Keywords: fast random; walk cover; torus; cover ... See more keywords
Fast random number generator based on optical physical unclonable functions
Sign Up to like & getrecommendations! Published in 2021 at "Optics letters"
DOI: 10.1364/ol.435221
Abstract: We propose an approach for fast random number generation based on homemade optical physical unclonable functions (PUFs). The optical PUF is illuminated with input laser wavefront of continuous modulation to obtain different speckle patterns. Random… read more here.
Keywords: physical unclonable; number; optical physical; fast random ... See more keywords