Título: On the Non-Convexity of the Time Constant in First-Passage Percolation
Autores: Kesten, Harry; Cornell University
Fecha: 1996-01-01
Publicador: Electronic communications in probability
Fuente:
Tipo: Peer-reviewed Article

Tema: Mathematics
First-passage percolation, time constant, convexity.
60K35
Descripción: We give a counterexample to a conjecture of Hammersley and Welsh (1965) about the convexity of the time constant in first-passage percolation, as a functional on the space of distribution functions. The present counterexample only works for first-passage percolation on $Z^d$ for $d$ large.
Idioma: Inglés

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