Reuben Drogin

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20232026

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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 Hernández

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 Hernández

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 $μ$ , to the point $0$ . Wh…