4 papers · 1 filter
Exponential Localization of Spatial Random Permutations in One Dimension
Reuben Drogin, Felipe Hernández
We consider a class of random permutations of the interval , in which points are typically displaced a distance . We show the cycles are localized on the scale ,…
Local limit theorems for random isometries of the plane
Reuben Drogin, Felipe Hernández
We consider a random walk on generated by successively applying independent random isometries, drawn from a fixed measure , to the point . Wh…
The regular tree Anderson model at low disorder
Reuben Drogin, Charles K Smart
We prove delocalization for the Anderson model on an infinite regular tree (or Cayley graph or Bethe lattice) at low disorder. This extends earlier results of Klein and Aizenman--W…
Long range voter models and dynamical fractional Brownian motion
Reuben Drogin
We study the voter model on Z with long-range interactions, as proposed by Hammond and Sheffield. We show a spacetime rescaling converges to a fractional Gaussian free field, which…