7 papers
Quantitative Furstenberg Theory for Large Random Matrices
Reuben Drogin
We consider the transfer matrices associated to the block Anderson model with GOE potential blocks. We make the classical Lyapunov exponent theory quantitative in two…
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…
Self-consistent equations and quantum diffusion for the Anderson model
Adam Black, Reuben Drogin, Felipe Hernández
We consider the Anderson tight-binding model on , , with Gaussian noise and at low disorder . We derive a diffusive scaling limit for the entries of the…
Tail bounds for the Dyson series of random Schrödinger equations
Adam Black, Reuben Drogin, Felipe Hernández
We study Schrödinger equations on and , with random potentials of strength . Our main result gives tail bounds for the terms of the Dyson…
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…