Modeling random walkers on growing random networks
Sign Up to like & getrecommendations! Published in 2019 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2019.121117
Abstract: Abstract We present continuum models that describe the evolution of the position of a random walker on a growing network using four different growth algorithms. Three of these involve a random element, including one in… read more here.
Keywords: growing random; random networks; random walkers; walkers growing ... See more keywords
Infinite system of random walkers: winners and losers
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/abd8b3
Abstract: We study an infinite system of particles initially occupying a half-line y ⩽ 0 and undergoing random walks on the entire line. The right-most particle is called a leader. Surprisingly, every particle except the original… read more here.
Keywords: system; winners losers; system random; infinite system ... See more keywords
When Random Walkers Help Solving Intriguing Integrals.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review letters"
DOI: 10.1103/physrevlett.123.020201
Abstract: We revisit a family of integrals that delude intuition and that recently appeared in mathematical literature in connection with computer algebra package verification. We show that the remarkable properties displayed by these integrals become transparent… read more here.
Keywords: intriguing integrals; walkers help; solving intriguing; random walkers ... See more keywords