The effect of disorder on quenched and averaged large deviations for random walks in random environments: boundary behavior

Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro Ramírez +1

For a random walk in a uniformly elliptic and i.i.d. environment on ${\mathbb{Z}}^d$ with $d\ge 4$, we show that the quenched and annealed large deviations rate functions agree on a…