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math.CO2026
On gapped repeats in a cyclic Fibonacci word
Takashi Horiyama, Yasuhide Numata, Kazuhisa Seto +1
In this article, we consider the words with cyclic indices. For given , we consider the pair of indices such that the word of length from is equal to the word of…
math.CO2026
An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains
Hung Manh Tran, Tan Nhat Tran, Shuhei Tsujie
In recent work (Forum Math. Sigma, 2024), we established a correspondence between MAT-labeled graphs arising from hyperplane arrangements and regular vines from probability theory.…
math.PR2026
Convolution, cumulants and infinitesimal generators in the formal power series ring
Shuhei Tsujie, Yuki Ueda
We extend the notions of finite free convolution and finite free cumulants to the setting of formal power series by introducing their natural analogues, namely -deformed convolu…