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math.PR2008
Convergence of symmetric trap models in the hypercube
L. R. G. Fontes, P. H. S. Lima
We consider symmetric trap models in the d-dimensional hypercube whose ordered mean waiting times, seen as weights of a measure in the natural numbers, converge to a finite measure…
math.PR2007
Density-Profile Processes Describing Biological Signaling Networks: Almost Sure Convergence to Deterministic Trajectories
Roberto Fernández, Luiz Renato Fontes, E. Jordão Neves
We introduce jump processes in R^k, called density-profile process, to model biological signaling networks. They describe the macroscopic evolution of finite-size spin-flip models…