IMC
2010
ACM
13 years 2 months ago
2010
ACM
Social networks provide interesting algorithmic properties that can be used to bootstrap the security of distributed systems. For example, it is widely believed that social networ...
SODA
2004
ACM
13 years 5 months ago
2004
ACM
We study the mixing time of the Glauber dynamics for general spin systems on bounded-degree trees, including the Ising model, the hard-core model (independent sets) and the antife...
SODA
2008
ACM
13 years 5 months ago
2008
ACM
Gibbs sampling also known as Glauber dynamics is a popular technique for sampling high dimensional distributions defined on graphs. Of special interest is the behavior of Gibbs sa...
FOCS
2004
IEEE
13 years 8 months ago
2004
IEEE
In the cyclic-to-random shuffle, we are given n cards arranged in a circle. At step k, we exchange the k'th card along the circle with a uniformly chosen random card. The pro...
APPROX
2006
Springer
13 years 8 months ago
2006
Springer
In this paper, we develop a new "robust mixing" framework for reasoning about adversarially modified Markov Chains (AMMC). Let P be the transition matrix of an irreducib...
ISAAC
2003
Springer
13 years 9 months ago
2003
Springer
Abstract. In this paper, we propose a Markov chain for sampling a random vector distributed according to a discretized Dirichlet distribution. We show that our Markov chain is rapi...
FOCS
2006
IEEE
13 years 10 months ago
2006
IEEE
Spin systems are a general way to describe local interactions between nodes in a graph. In statistical mechanics, spin systems are often used as a model for physical systems. In c...
FOCS
2007
IEEE
13 years 10 months ago
2007
IEEE
We study the mixing time of some Markov Chains converging to critical physical models. These models are indexed by a parameter β and there exists some critical value βc where th...
STOC
2009
ACM
14 years 4 months ago
2009
ACM
We analyze the mixing time of a natural local Markov chain (the Glauber dynamics) on configurations of the solid-onsolid model of statistical physics. This model has been proposed...