Establishes several limit theorems including Gaussian block counts, geometric size distribution, largest-block concentration at log2 n, and width convergence to Theta-distribution for large non-crossing partitions.
Lectures on the Combinatorics of Free Probability, vol- ume 335 of London Mathematical Society Lecture Note Series
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Limit theorems for statistics of non-crossing partitions
Establishes several limit theorems including Gaussian block counts, geometric size distribution, largest-block concentration at log2 n, and width convergence to Theta-distribution for large non-crossing partitions.