ENERGY FUNCTIONS IN BOX BALL SYSTEMS
From MaRDI portal
Publication:4486974
DOI10.1142/S0217751X00000616zbMath0980.37029arXivmath/9908116MaRDI QIDQ4486974
Kaori Fukuda, Masato Okado, Yasuhiko Yamada
Publication date: 24 July 2000
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9908116
Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical aspects of cellular automata (37B15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items
Randomized box-ball systems, limit shape of rigged configurations and thermodynamic Bethe Ansatz, Relationships between two approaches: rigged configurations and 10-eliminations, Box and ball system with numbered boxes, Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics, Inverse scattering method for a soliton cellular automaton, Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection, Bethe ansatz and inverse scattering transform in a periodic box-ball system, Skew RSK dynamics: Greene invariants, affine crystals and applications toq-Whittaker polynomials, Soliton cellular automata for the affine general linear Lie superalgebra, Kirillov-Reshetikhin modules and quantum \(K\)-matrices, Stable rigged configurations for quantum affine algebras of nonexceptional types, Geometric representations of interacting maps, A uniform approach to soliton cellular automata using rigged configurations, Tau functions in combinatorial Bethe ansatz, Soliton cellular automaton associated with $D_n^{(1)}$Dn(1)-crystal B2,s, Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection. II: Proof for \(\mathfrak{sl}_{n}\) case, Zero actions and energy functions for perfect crystals, Rigged configuration bijection and proof of the \(X = M\) conjecture for nonexceptional affine types, Large deviations and one-sided scaling limit of randomized multicolor box-ball system, Box-ball systems and Robinson-Schensted-Knuth correspondence, Soliton cellular automata associated with infinite reduced words, Soliton cellular automaton associated with $G_2^{(1)}$G2(1) crystal base, Generalized hydrodynamics in box-ball system, Geometric lifting of the integrable cellular automata with periodic boundary conditions, Differential equations for the closed geometric crystal chains
Cites Work
