Evolution of probability measures by cellular automata on algebraic topological Markov chains.
نویسندگان
چکیده
In this paper we review some recent results on the evolution of probability measures under cellular automata acting on a fullshift. In particular we discuss the crucial role of the attractiveness of maximal measures. We enlarge the context of the results of a previous study of topological Markov chains that are Abelian groups; the shift map is an automorphism of this group. This is carried out by studying the dynamics of Markov measures by a particular additive cellular automata. Many of these topics were within the focus of Francisco Varela's mathematical interests.
منابع مشابه
Right-Permutative Cellular Automata on Topological Markov Chains
In this paper we consider cellular automata (G,Φ) with algebraic local rules and such that G is a topological Markov chain which has a structure compatible to this local rule. We characterize such cellular automata and study the convergence of the Cesàro mean distribution of the iterates of any probability measure with complete connections and summable decay. Subj-class: DS, PR, CO. MSC-class: ...
متن کاملRigidity Results in Cellular Automata Theory: Probabilistic and Ergodic Theory Approach
In these notes review some results and its extensions concerning the existence of invariant stationary probability measures under a one-dimensional algebraic cellular automaton. We present two historical axes of this question and the techniques used to solve them or produce relevant intermediate results. Both make appear strong rigidity phenomena, i.e. the unique solution is the uniform Bernoul...
متن کاملDetection and prediction of land use/ land cover changes using Markov chain model and Cellular Automata (CA-Markov), (Case study: Darab plain)
unprincipled changes in land use are major challenges for many countries and different regions of the world, which in turn have devastating effects on natural resources, Therefore, the study of land-use changes has a fundamental and important role for environmental studies. The purpose of this study is to detect and predicting of land use/ land cover (LULC) changes in Darab plain through the Ma...
متن کاملIntegrating cellular automata Markov model to simulate future land use change of a tropical basin
Predicting land use change is an indispensable aspect in identifying the best development and management of land resources and their potential. This study used certified land-use maps of 1997, 2006, and 2015 combined with ancillary data such as road networks, water bodies and slopes, obtained from the Department of Agriculture and the Department of Surveying and Mapping in Malaysia, respectivel...
متن کاملEmpirical Bayes Estimation in Nonstationary Markov chains
Estimation procedures for nonstationary Markov chains appear to be relatively sparse. This work introduces empirical Bayes estimators for the transition probability matrix of a finite nonstationary Markov chain. The data are assumed to be of a panel study type in which each data set consists of a sequence of observations on N>=2 independent and identically dis...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Biological research
دوره 36 1 شماره
صفحات -
تاریخ انتشار 2003