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math.PR2026
Extremal persistence probabilities of exchangeable sign-invariant random variables
Daniel Iľkovič, Jun Yan
Let be a random variable in that is both exchangeable and sign-invariant. For every , let . Define t…
math.CO2026
Exact enumeration of lozenge tilings of a triangular region
Jun Yan
We prove that the number of lozenge tilings of a certain triangular region is given by the formula \[T_n=\prod_{\substack{1\leq a<b\leq 3n+2\\(a,b)\not=(n+1,2n+2)}}…