Math @ Duke

David J. Sivakoff, Visiting Assistant Professor
Please note: David has left the Mathematics department at Duke University; some info here might not be up to date.  Contact Info:
 Education:
Applied Math, PhD  University of California, Davis  2010 
 Specialties:

Probability
 Research Interests: Probability, Stochastic Processes
Current projects:
Evolving social networks, Time inhomogeneous perturbations of random walks
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.
 Areas of Interest:
Stochastic processes on networks Random graphs Percolation
 Keywords:
Probability • Random graphs • Contact process • Voter model • Percolation
 Recent Publications
 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. 36823687
 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]
 J. Gravner, C. Hoffman, J. Pfeiffer, D. Sivakoff, Bootstrap percolation on the Hamming torus
(Submitted, 2012) [arxiv:1202.5351]
 D. Sivakoff, Contact process on random graphs with communities
(Submitted, 2012) [arXiv:1210.3434]
 D. Sivakoff, Emergence of a Giant Component in Random Site Subgraphs of a dDimensional Hamming Torus
(Submitted, 2011) [arXiv:1001.1007v2]


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

