4 papers
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…
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…
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.…