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math.PR2024
On the joint distribution of the area and the number of peaks for Bernoulli excursions
Vladislav Kargin
Let be a random Bernoulli excursion of length . We show that the area under and the number of peaks of are asymptotically independent. We also show that these…
math.CO2024
An upper bound on the per-tile entropy of ribbon tilings
Simon Blackburn, Yinsong Chen, Vladislav Kargin
This paper considers -ribbon tilings of general regions and their per-tile entropy (the binary logarithm of the number of tilings divided by the number of tiles). We show that t…