most citedExponential distribution for the occurrence of rare patterns in Gibbsian random fields

17 citations · 17 across the 2 of their papers we have counts for

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2 papers

math.PR2025

Large Deviation inequalities for sums of positive correlated variables with clustering

Miguel Abadi

Large deviation inequalities for ergodic sums is an important subject since the seminal contribution of Bernstein for independent random variables with finite variances, followed b…

math.PR2003★ 17 cited

Exponential distribution for the occurrence of rare patterns in Gibbsian random fields

M. Abadi, J. -R. Chazottes, F. Redig +1

We study the distribution of the occurrence of rare patterns in sufficiently mixing Gibbs random fields on the lattice , . A typical example is the high temp…