Reuben Drogin

collaborators

8 papers

math-ph2026

Quantitative Furstenberg Theory for Large Random Matrices

Reuben Drogin

We consider the $2 W \times 2 W$ transfer matrices associated to the block Anderson model with GOE potential blocks. We make the classical Lyapunov exponent theory quantitative in two…

math.PR2026

Exponential Localization of Spatial Random Permutations in One Dimension

Reuben Drogin, Felipe HernÃ¡ndez

We consider a class of random permutations of the interval $[- n, n]$ , in which points are typically displaced a distance $O (W)$ . We show the cycles are localized on the scale $W^{3}$ ,…

math.PR2026

Local limit theorems for random isometries of the plane

Reuben Drogin, Felipe HernÃ¡ndez

We consider a random walk $(Y_{N})_{N \geq 0}$ on $R^{2}$ generated by successively applying independent random isometries, drawn from a fixed measure $I^¼$ , to the point $0$ . W…

math.PR2025

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…

math-ph2025

Self-consistent equations and quantum diffusion for the Anderson model

Adam Black, Reuben Drogin, Felipe HernÃ¡ndez

We consider the Anderson tight-binding model on $Z^{d}$ , $d \geq 2$ , with Gaussian noise and at low disorder $I^» > 0$ . We derive a diffusive scaling limit for the entries of th…

math.PR2025

Localization of One-Dimensional Random Band Matrices

Reuben Drogin

We consider a general class of $n \times n$ random band matrices with bandwidth $W$ . When $W^{2} ≪ n$ , we prove that with high probability the eigenvectors of such matrices are local…