3 problems

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Conjecture on scaling limits of up-down Chinese restaurant processes
Fix the two-parameter setting with $\theta_2=\alpha$ , and consider the discrete-time up-down ordered Chinese restaurant processes described in the source. Scaling-limit conjecture.…
Conjectureopenchinese-restaurant-processes interval-partitions scaling-limitsarXiv posted 2 days ago
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Conjecture on generalized interval partition evolution limits
Let $G(\frac{1}{n}\gamma^{(n)})$ converge in distribution, with respect to the Hausdorff metric, to a compact set of positive Lebesgue measure. Convergence-extension conjecture. Th…
Conjectureopenchinese-restaurant-processes diffusion-limits interval-partitionsarXiv posted 2 days ago
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Scaling-limit conjecture for two-parameter diffusions on the graph of compositions
The two-parameter processes $\operatorname{PDIPE}(\alpha,\theta)$ are diffusions on the boundary of the branching graph of integer compositions. An up-down chain on this graph adds…
Conjectureopenbranching-graphs diffusions interval-partitionsarXiv posted 2 days ago

Conjecture on scaling limits of up-down Chinese restaurant processes