We show that the hit-and-run random walk mixes rapidly starting from any interior point of a convex body. This is the first random walk known to have this property. In contrast, t...
It has recently been shown that local search is surprisingly good at nding satisfying assignments for certain computationally hard classes of CNF formulas. The performance of basi...
We consider the problem of derandomizing random walks in the Euclidean space Rk . We show that for k = 2, and in some cases in higher dimensions, such walks can be simulated in Lo...
Cryptographic applications using an elliptic curve over a finite field filter curves for suitability using their order as the primary criterion: e.g. checking that their order has...
David Jao, Stephen D. Miller, Ramarathnam Venkates...
We consider the random walk on Z+ = {0, 1, ...} , with up and down transition probabilities given the chain is in state x {1, 2, ...}: (1) px = 1 2 ,, 1 2x +