Research Interests for David J. Sivakoff

I study stochastic processes with a spatial component, such as percolation models and Markov chains on trees, lattices and graphs. I am interested in how the underlying graph structure affects the behavior of certain stochastic processes on the graph. Such problems have applications to epidemiology, social science, and computer science.

Keywords:

Probability, Random graphs, Contact process, Voter model, Percolation

Current projects:

Evolving social networks

Time inhomogeneous perturbations of random walks

Areas of Interest:

Stochastic processes on networks
Random graphs
Percolation

Recent Publications

1. R. Durrett, J.P. Gleeson, A. Lloyd, P.J. Mucha, F. Shi, D. Sivakoff, J. Socolar, C. Varghese, Graph fission in an evolving voter model, PNAS, vol. 109 no. 10 (March 6, 2012), pp. 3682-3687
2. C.D. Brummitt, S. Chatterjee, P.S. Dey, D. Sivakoff, Jigsaw percolation: What social networks can collaboratively solve a puzzle? (Submitted, 2012) [arXiv:1207.1927]
3. J. Gravner, C. Hoffman, J. Pfeiffer, D. Sivakoff, Bootstrap percolation on the Hamming torus (Submitted, 2012) [arxiv:1202.5351]
4. D. Sivakoff, Contact process on random graphs with communities (Submitted, 2012) [arXiv:1210.3434]
5. D. Sivakoff, Emergence of a Giant Component in Random Site Subgraphs of a d-Dimensional Hamming Torus (Submitted, 2011) [arXiv:1001.1007v2]