The paper proves the Pons-Batle conjecture for bounded reticulation number k via explicit bijections to Young tableaux with walls and holes, derives closed-form recurrences, and shows Beta(2,1), Beta(1,2), and Uniform limit laws for k=1 structural parameters.
A proof of the generalized second-limit theorem in the theory of probability
2 Pith papers cite this work. Polarity classification is still indexing.
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An effective multi-equidistribution result for diagonal translates of unipotent flows is established, yielding a central limit theorem in inhomogeneous Diophantine approximation for non-Liouville shifts.
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A Combinatorial Framework for the Pons-Batle Identity: Young Tableaux, Lattice Paths, and Limit Laws
The paper proves the Pons-Batle conjecture for bounded reticulation number k via explicit bijections to Young tableaux with walls and holes, derives closed-form recurrences, and shows Beta(2,1), Beta(1,2), and Uniform limit laws for k=1 structural parameters.
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Effective multi-equidistribution for translates of unipotent flows and Central limit theorems in inhomogeneous Diophantine approximation
An effective multi-equidistribution result for diagonal translates of unipotent flows is established, yielding a central limit theorem in inhomogeneous Diophantine approximation for non-Liouville shifts.