Proves exponential decay of pair correlations in 1D point processes via a Markov renewal theorem with exponential rate, under Markovian spacings, geometric ergodicity, and exponential moments, with applications to Gibbs processes and harmonic chains.
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Markov Renewal Theory for Transfer Operators and Point Processes on the Line
Proves exponential decay of pair correlations in 1D point processes via a Markov renewal theorem with exponential rate, under Markovian spacings, geometric ergodicity, and exponential moments, with applications to Gibbs processes and harmonic chains.