8 papers
Relationships between two linearizations of the box-ball system : Kerov-Kirillov-Reshetikhin bijection and slot configuration
Matteo Mucciconi, Makiko Sasada, Tomohiro Sasamoto +1
The box-ball system (BBS), which was introduced by Takahashi and Satsuma in 1990, is a soliton cellular automaton. Its dynamics can be linearized by a few methods, among which the…
Degree-preserving conservative processes and a unified approach for their hydrodynamics
Chiara Franceschini, PatrÃcia Gonçalves, Kohei Hayashi +1
We investigate a broad class of large-scale one-dimensional interacting systems characterized by a single conservation law and satisfying the "degree-preserving property". Under mi…
Stationary fluctuations for an exclusion process with mass and energy conservation
Hugo Da Cunha, Makiko Sasada
We introduce a novel exclusion process with two conservation laws, mass and energy, designed to mimic the essential features of continuous systems like interacting oscillators with…
Ultra-Discretization of Yang-Baxter Maps, Probability Distributions and Independence Preserving Property
Hiroki Kondo, Sachiko Nakajima, Makiko Sasada
We study the relationship between Yang-Baxter maps and the independence preserving (IP) property, motivated by their role in integrable systems, from the perspective of ultra-discr…
Unveiling Optimal Diffusion for Infection Control in Brownian Particle Systems
Kaito Takahashi, Makiko Sasada, Takuma Akimoto
Understanding the spread of infectious diseases requires integrating movement, physical constraints, and spatial configurations into epidemiological models. In this study, we inves…
Hydrodynamic limit for some gradient and attractive spin models
Chiara Franceschini, PatrÃcia Gonçalves, Kohei Hayashi +1
We study the hydrodynamic limit for three gradient spin models: generalized Kipnis-Marchioro-Presutti (KMP), its discrete version and a family of harmonic models, under symmetric a…