Summary
We prove a space-time lower estimate for reversible random walks on graphs having linear growth. This estimate complements a similar upper bound that follows from a work of Hebisch and Saloff-Coste.
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Coulhon, T., Saloff-Coste, L. Minorations pour les chaînes de Markov unidimensionnelles. Probab. Th. Rel. Fields 97, 423–431 (1993). https://doi.org/10.1007/BF01195074
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DOI: https://doi.org/10.1007/BF01195074
Mathematics Subject Classification (1991)
- 60J15
- 31C20