Linearization of the Box-ball System with Box Capacity <i>L</i>
نویسندگان
چکیده
We construct a bijection between the state of box-ball system with box capacity L and pair two sequences. During time evolution, one sequences moves at speed 1, other follows rules one, which can be linearized by Kerov–Kirillov–Reshetikhin (KKR) bijection. Our method applied to including negative value or greater than capacity.
منابع مشابه
Box Ball System Associated with Antisymmetric Tensor Crystals
A new box ball system associated with an antisymmetric tensor crystal of the quantum affine algebra of type A is considered. This includes the socalled colored box ball system with capacity 1 as the simplest case. Infinite number of conserved quantities are constructed and the scattering rule of two solitons are given explicitly.
متن کاملFundamental Cycle of a Periodic Box-Ball System
We investigate a soliton cellular automaton (Box-Ball system) with periodic boundary conditions. Since the cellular automaton is a deterministic dynamical system that takes only a finite number of states, it will exhibit periodic motion. We determine its fundamental cycle for a given initial state.
متن کاملTwo Point Correlation Functions for a Periodic Box-Ball System
We investigate correlation functions in a periodic box-ball system. For the second and the third nearest neighbor correlation functions, we give explicit formulae obtained by combinatorial methods. A recursion formula for a specific N -point functions is also presented.
متن کاملOn Lipschitz optimization based on gray-box piecewise linearization
We address the problem of minimizing objectives from the class of piecewise differentiable functions whose nonsmoothness can be encapsulated in the absolute value function. They possess local piecewise linear approximations with a discrepancy that can be bounded by a quadratic proximal term. This overestimating local model is continuous but generally nonconvex. It can be generated in its abs-no...
متن کاملMeasures of vascular reactivity: prognostic crystal ball or Pandora's box?
THE VESSEL WALL is the final common pathway for the impact of cardiovascular risk factors and genetic predisposition to atherothrombotic events, and its health and function may therefore reflect aggregate cardiovascular risk. The quest to find a noninvasive prognostic tool to assess vasculature health has led to the development of a number of different measurement approaches. The rationale for ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Physical Society of Japan
سال: 2023
ISSN: ['0031-9015', '1347-4073']
DOI: https://doi.org/10.7566/jpsj.92.024003