3 citations · 3 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Bethe roots for periodic TASEP and algebraic curve
Shinsuke Iwao, Kohei Motegi
We present an algebraic method for solving the Bethe ansatz equations for the periodic totally asymmetric exclusion process (TASEP) with an arbitrary number of sites and particles.…
Tetrahedron equation and Schur functions
Shinsuke Iwao, Kohei Motegi, Ryo Ohkawa
The tetrahedron equation introduced by Zamolodchikov is a three-dimensional generalization of the Yang-Baxter equation. Several types of solutions to the tetrahedron equation that…
Free fermionic probability theory and K-theoretic Schubert calculus
Shinsuke Iwao, Kohei Motegi, Travis Scrimshaw
For each of the four particle processes given by Dieker and Warren [arXiv:0707.1843], we show the -step transition kernels are given by the (dual) (weak) refined symmetric Groth…