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math.DS2026
Longest increasing subsequences of dyadic-type chaotic orbits
Shinsuke Iwao, Fumihiko Nakamura, Yushi Nakano
This paper studies the longest increasing subsequence (LIS) problem for sequences generated by dyadic-type chaotic interval maps. Starting from a single point chosen un…
math-ph2026
Stationary Measures and Mean Flux Depending on Multiple Conserved Quantities in a Stochastic Cellular Automaton
Kazushige Endo, Shinsuke Iwao, Hidetomo Nagai +1
We analyze a stochastic 5-neighbor cellular automaton with several conserved quantities, including the particle density. By examining the eigenvalue problem of the associated trans…
math-ph2026
Tetrahedral -operators, tensor Schur polynomials and -deformed loop elementary symmetric functions
Shinsuke Iwao, Kohei Motegi, Ryo Ohkawa
We study three-dimensional partition functions constructed from the tetrahedral -operator introduced and studied by Bazhanov-Sergeev and Kuniba-Maruyama-Okado. First, we explore…