kido@math.keio.ac.jp (Takashi Kido) (11/01/90)
I tried cell-automata simulation (life), and tried to find the rule
between micro-informations and macro-informations. micro-informations
mean "the state of cells (0 or 1)". macro-informations mean "ration of
firing cells".I tried life and got many data,and plot date.(by using S
language.) Then I want to evaluate the result of experiment.here there
is some problens and questions.
1. space of state is very large.(10*10 lattice --> 2**100 state).
so,I can't try all states.For example I try 10000
states,10000/2**100 equals fairly 0.0000..... To evaluate the result how
many traial is enough?
2.The interesting problem is the limit of states.(equiblibram
states).How many equiblibram states in 10*10 lattice? I wan`t to know
"the number of equibliam states" correctly.If it is imposible,how can
I estimate it?
3.I want to know the distribution of states.(there are 2**100
states,and the distribution of states depends on time.)
4 I hear that existence of "pattern of eden".It can`t bee seen except
the init-state.How many "eden" exist?
5 I need the mathematical-model for cellular-automata.for example,
marcov chain.Can anyone describe life,mathematically?
6 If you define cellular-automata,how do you define?
takashi kido
kido@nak.math.keio.ac.jp