3 papers
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…
math.CO2025
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…
math-ph2025
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.…