Jim Propp’s P-machine, also known as the ‘rotor router model’ is a simple deterministic process that simulates a random walk on a graph. Instead of distributing chips to ran...
Joshua N. Cooper, Benjamin Doerr, Joel H. Spencer,...
: Random walk and flooding are basic mechanisms for searching unstructured overlays. This paper shows that node coverage is an important metric for query performance in random grap...
Jim Propp's rotor router model is a simple deterministic analogue of a random walk. Instead of distributing chips randomly, it serves the neighbors in a fixed order. We analy...
This paper presents the axioms of a real time random walk on the set of states of a medium and some of their consequences, such as the asymptotic probabilities of the states. The ...
Random walk simulation is employed in many experimental algorithmic applications. Efficient execution on modern computer architectures demands that the random walk be implemented t...
Ilya Safro, Paul D. Hovland, Jaewook Shin, Michell...
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 uniformly sampling a vertex of a transportation polytope with m sources and n destinations, where m is a constant. We analyse a natural random walk on t...
In this paper we present an algorithm for simulating functions of the minimum and terminal value for a random walk with Gaussian increments. These expectations arise in connection...
From a computational perspective, there is a close connection between various probabilistic reasoning tasks and the problem of counting or sampling satisfying assignments of a pro...
We study the behavior of random walks along the edges of the stable marriage lattice for various restricted families of allowable preference sets. In the "k-attribute model,&...