Scaling limits for a random boxes model
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Applied Probability"
DOI: 10.1017/apr.2019.34
Abstract: Abstract We consider random rectangles in $\mathbb{R}^2$ that are distributed according to a Poisson random measure, i.e. independently and uniformly scattered in the plane. The distributions of the length and the width of the rectangles… read more here.
Keywords: boxes model; limits random; scaling limits; random boxes ... See more keywords
Limits of Random Motzkin Paths with KPZ Related Asymptotics
Sign Up to like & getrecommendations! Published in 2024 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnaf022
Abstract: We study Motzkin paths of length $L$ with general weights on the edges and endpoints. We investigate the limit behavior of the initial and final segments of the random Motzkin path viewed as a pair… read more here.
Keywords: random motzkin; motzkin paths; related asymptotics; kpz related ... See more keywords