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math.CO2026
Counting words without non-decreasing subwords of fixed length
Senan Sekhon
In arXiv:2511.13287, we derived exact formulas for generating functions counting the number of -ary words avoiding \textit{strictly} increasing subwords of length , and provi…
math.GM2026
Existence of Lebesgue Measurable Functions Outside the Mauldin Hierarchy
Senan Sekhon
In 1916, Hausdorff proved that the Baire hierarchy on , starting with the continuous functions, generates all Borel functions on . It remained open whether,…