Cellular automata, ultra-discrete dynamical systems
Goal: of tropicalization of discrete systems using (max,+) algebra and applications
Supervisor: Stefan Carstea
Scheme:
A. Generalities about (max,+) algebra
B. Soliton cellular automata, singularities and Lax formalism
B. Soliton cellular automata, singularities and Lax formalism
References:
1. Kaisie Farlow, Max-Plus algebra (https://vtechworks.lib.vt.
2. Tokihiro, T., Takahashi, D., Matsukidaira, J., Satsuma, J.: From soliton equations to integrable cellular through a limiting procedure. Phys. Rev. Lett. 76, 3247–3250 (1996)
3. T. Tokihiro, Ultradiscrete systems, in "Discrete Integrable Systems", B. Grammaticos, Y. Kosmann-Schwarzbach, T. Tamizhmani eds., Lecture Notes in Physics 644, Springer 2004.
2. Tokihiro, T., Takahashi, D., Matsukidaira, J., Satsuma, J.: From soliton equations to integrable cellular through a limiting procedure. Phys. Rev. Lett. 76, 3247–3250 (1996)
3. T. Tokihiro, Ultradiscrete systems, in "Discrete Integrable Systems", B. Grammaticos, Y. Kosmann-Schwarzbach, T. Tamizhmani eds., Lecture Notes in Physics 644, Springer 2004.