Adam Black

collaborators

2 papers

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-ph2025

Tail bounds for the Dyson series of random SchrÃ¶dinger equations

Adam Black, Reuben Drogin, Felipe HernÃ¡ndez

We study SchrÃ¶dinger equations on $Z^{d}$ and $R^{d}$ , $d \geq 2$ with random potentials of strength $I^»$ . Our main result gives tail bounds for the terms of the Dyso…