The contact process is a model of an interacting particle system. It is a continuous time Markov process with state space , where is a finite orâ€¦Â (More)

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Highly Cited

2010

Highly Cited

2010

Many epidemic processes in networks spread by stochastic contacts among their connected vertices. There are two limiting casesâ€¦Â (More)

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2009

2009

Z d where sites flip, independently of each other, between blocking and nonblocking states, and the contact process is restrictedâ€¦Â (More)

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2006

2006

We apply the recently devised quasi-stationary simulation method to study the lifetime and order parameter of the contact processâ€¦Â (More)

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2006

2006

- Rick Durrett
- 2006

In our version of Watts and Strogatzâ€™s small world model, space is a d-dimensional torus in which each individual has in additionâ€¦Â (More)

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2005

2005

- Yuri Kondratiev, Anatoli Skorokhod
- 2005

We introduce a continuous version of the contact model which is well-known and widely studied in the lattice case. Under certainâ€¦Â (More)

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2004

2004

- JosÃ© J. Ramasco, Malte Henkel, Maria Augusta B. dos Santos, Constantino A. da Silva Santos
- 2004

The long-time dynamics of the critical contact process which is brought suddenly out of an uncorrelated initial state undergoesâ€¦Â (More)

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2004

2004

We prove for the contact process on Z, and many other graphs, that the upper invariant measure dominates a homogeneous productâ€¦Â (More)

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2003

2003

- Robin Pemantle
- 2003

The contact process on an infinite homogeneous tree is shown to exhibit at least two phase transitions as the infection parameterâ€¦Â (More)

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2000

2000

The contact process (CP) is an irreversible lattice model involving nearest neighbor interactions only [1,2]. This modelâ€¦Â (More)

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1996

1996

- Jorge E. Moreira, Dickman
- Physical review. E, Statistical physics, plasmasâ€¦
- 1996

We study critical spreading dynamics in the two-dimensional contact process (CP) with quenched disorder in the form of randomâ€¦Â (More)

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