Showing 2026Show all
2 papers · 1 filter
math.CO2026
A Computational Obstruction to Swapping Area and Dinv: An Automata-Theoretic View of the -Catalan Symmetry
Jineon Baek, Byung-Hak Hwang, Joonhyun La +1
Algebraic combinatorics often seeks bijections that explain identities between distributions object by object. Encoding combinatorial objects as words lets automata theory study su…
math-ph2026
A review on the kinetic theory of oscillator chains
Pierre Germain, Joonhyun La, Angeliki Menegaki
We review the kinetic theory of one-dimensional nonlinear oscillator chains, of which the most famous example is the Fermi-Pasta-Ulam-Tsingou equation. We provide detailed, though…