Fetching the paper…
Reading the bibliography…
We consider two competing first passage percolation processes started from uniformly chosen subsets of a random regular graph on $N$ vertices.
Time-dependent statistics of the Ising model
Roy J. Glauber · 1963
Earlier work this paper cites.
A model for spatial conflict
Peter Clifford and Aidan Sudbury · 1973
Earlier work this paper cites.
On tail probabilities for martingales
D. A. Freedman · 1975
Earlier work this paper cites.
Ergodic theorems for weakly interacting infinite systems and the voter model
Richard A. Holley and Thomas M. Liggett · 1975
Earlier work this paper cites.
A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
B. Bollobás · 1980
Earlier work this paper cites.
Some limit theorems for percolation processes with necessary and sufficient conditions
J. Theodore Cox and Richard Durrett · 1981
Earlier work this paper cites.
The basic contact processes
David Griffeath · 1981
Earlier work this paper cites.
Finite particle systems and infection models
Peter Donnelly and Dominic Welsh · 1983
Earlier work this paper cites.
Interacting particle systems
Thomas M. Liggett · 1985
Earlier work this paper cites.
Aspects of first passage percolation
Harry Kesten · 1986
Earlier work this paper cites.
Theory and Applications of Cellular Automata: Including Selected Papers, 1983-1985
S. Wolfram · 1986
Earlier work this paper cites.
Social ties and word-of-mouth referral behavior
J. Brown and P. Reinegen · 1987
Earlier work this paper cites.
Lecture Notes on Particle Systems and Percolation
R. Durrett · 1988
Earlier work this paper cites.
Social Network Analysis: Methods and Applications
Stanley Wasserman and Katherine Faust · 1994
Earlier work this paper cites.
One, two and three times log n / n \log n/n for paths in a complete graph with random weights
Svante Janson · 1997
Earlier work this paper cites.
First passage percolation and a model for competing spatial growth
Olle Häggström and Robin Pemantle · 1998
Cited alongside, same era.
Stochastic interacting systems: contact, voter and exclusion processes
Thomas M. Liggett · 1999
Cited alongside, same era.
Absence of mutual unbounded growth for almost all parameter values in the two-type Richardson model
Olle Häggström and Robin Pemantle · 2000
Cited alongside, same era.
Random graphs
Svante Janson, Tomasz Łuczak, and Andrzej Rucinski · 2000
Cited alongside, same era.
The influence model
C. Asavathiratham, S. Roy, B. Lesieutre, and G. Verghese · 2001
Cited alongside, same era.
Random graphs
Béla Bollobás · 2001
Cited alongside, same era.
Coexistence for Richardson type competing spatial growth models
Christopher Hoffman · 2005
Later among the works it cites.
Influential nodes in a diffusion model for social networks
D. Kempe, J. Kleinberg, and E. Tardos · 2005
Later among the works it cites.
The initial configuration is irrelevant for the possibility of mutual unbounded growth in the two-type Richardson model
Maria Deijfen and Olle Häggström · 2006
Later among the works it cites.
Nonmonotonic coexistence regions for the two-type Richardson model on graphs
Maria Deijfen and Olle Häggström · 2006
Later among the works it cites.
Limit theorems for triangular urn schemes
Svante Janson · 2006
Later among the works it cites.
Competitive influence maximization in social networks
Shishir Bharathi, David Kempe, and Mahyar Salek · 2007
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
P Brémaud · 2001
Cited alongside, same era.
Mining the network value of customers
P. Domingos and M. Richardson · 2001
Cited alongside, same era.
Talk of the network: A complex systems look at the underlying process of word-of-mouth
J. Goldenberg, B. Libai, and E. Muller · 2001
Cited alongside, same era.
Using complex systems analysis to advance marketing theory development: Modeling heterogeneity effects on new product growth through stochastic cellular automata
J. Goldenberg, B. Libai, and E. Muller · 2001
Cited alongside, same era.
Mining knowledge-sharing sites for viral marketing
M. Richardson and P. Domingos · 2002
Cited alongside, same era.
The flooding time in random graphs
Remco van der Hofstad, Gerard Hooghiemstra, and Piet Van Mieghem · 2002
Cited alongside, same era.
Later among the works it cites.
The two-type Richardson model with unbounded initial configurations
Maria Deijfen and Olle Häggström · 2007
Later among the works it cites.
Two phase transitions for the contact process on small worlds
Rick Durrett and Paul Jung · 2007
Later among the works it cites.
First passage percolation on locally treelike networks. I. Dense random graphs
Shankar Bhamidi · 2008
Later among the works it cites.
First-passage competition with different speeds: positive density for both species is impossible
Olivier Garet and Régine Marchand · 2008
Later among the works it cites.
Geodesics in first passage percolation
Christopher Hoffman · 2008
Later among the works it cites.
Extreme value theory, Poisson-Dirichlet distributions, and first passage percolation on random networks
Shankar Bhamidi, Remco van der Hofstad, and Gerard Hooghiemstra · 2010
Later among the works it cites.
First passage percolation on random graphs with finite mean degrees
Shankar Bhamidi, Remco van der Hofstad, and Gerard Hooghiemstra · 2010
Later among the works it cites.
Submodularity of influence in social networks: from local to global
Elchanan Mossel and Sebastien Roch · 2010
Later among the works it cites.