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We study models of continuous time, symmetric, Zd-valued random walks in random environments. One of our aims is to derive estimates on the decay of transition probabilities in a case where a uniform… (More)

- Luiz Renato G. Fontes, Marco Isopi, Charles M. Newman, Krishnamurthi Ravishankar
- Proceedings of the National Academy of Sciences…
- 2002

Arratia, [Arratia, R. (1979) Ph.D. thesis (University of Wisconsin, Madison) and unpublished work] and later Toth and Werner [Toth, B. & Werner, W. (1998) Probab. Theory Relat. Fields 111, 375-452]… (More)

We study the threshold θ bootstrap percolation model on the homogeneous tree with degree b + 1, 2 ≤ θ ≤ b, and initial density p. It is known that there exists a nontrivial critical value for p,… (More)

We study the threshold θ ≥ 2 contact process on a homogeneous tree Tb of degree κ = b + 1, with infection parameter λ ≥ 0 and started from a product measure with density p. The corresponding… (More)

We introduce jump processes in R, called density-profile process, to model biological signaling networks. They describe the macroscopic evolution of finite-size spin-flip models with k types of spins… (More)

- Luiz Renato G. Fontes, Marco Isopi, Charles M. Newman, Daniel L. Stein
- Physical review letters
- 2001

We derive exact expressions for a number of aging functions that are scaling limits of nonequilibrium correlations, R(t(w),t(w)+t) as t(w)-->infinity, t/t(w)-->theta, in the 1D homogenous q-state… (More)

We study K-processes, which are Markov processes in a denumer-able state space, all of whose elements are stable, with the exception of a single state, starting from which the process enters finite… (More)

We consider symmetric trap models in the d-dimensional hypercube whose ordered mean waiting times, seen as weights of a measure in N, converge to a finite measure as d → ∞, and show that the models… (More)

The dynamical discrete web (DyDW), introduced in recent work of Howitt and Warren, is a system of coalescing simple symmetric one-dimensional random walks which evolve in an extra continuous… (More)

- Horácio Manuel Santana Teles, J F Vaz, Luiz Renato G. Fontes, Maria de Fátima Domingos
- Revista de saude publica
- 1997

Achatina fulica, the intermediate snail host of angiostrongyliasis and also an agricultural pest, is being bred in Brazil for human consumption as "escargot". The snail has escaped from its… (More)