Markov partition information

A Markov partition in mathematics is a tool used in dynamical systems theory, allowing the methods of symbolic dynamics to be applied to the study of hyperbolic...

and probability, a Markov random field (MRF), Markov network or undirected graphical model is a set of random variables having a Markov property described...

chain algorithm Markov partition Markov property Markov odometer Markov perfect equilibrium (game theory) Markov's inequality Markov spectrum in Diophantine...

the dynamics (evolution) given by the shift operator. Formally, a Markov partition is used to provide a finite cover for the smooth system; each set of...

isomorphic to that of the Bernoulli shift. This is essentially the Markov partition. The term shift is in reference to the shift operator, which may be...

model Markov chain mixing time Markov partition Markov process Continuous-time Markov process Piecewise-deterministic Markov process Martingale Doob martingale...

horseshoe map like dynamics, which is associated with chaos. By using the Markov partition, the long-time behaviour of a hyperbolic system can be studied using...

the non-wandering set Ω(f) of any axiom A diffeomorphism supports a Markov partition. Thus the restriction of f to a certain generic subset of Ω(f) is conjugated...

Omri Sarig for his work on the thermodynamics of countable Markov shifts and his Markov partition for surface diffeomorphisms. 2015 : Federico Rodriguez Hertz...

the unstable manifold of x 0 {\displaystyle x_{0}} . By using the Markov partition, the long-time behaviour of hyperbolic system can be studied using...

decomposable (NCD) Markov chain is a Markov chain where the state space can be partitioned in such a way that movement within a partition occurs much more...

for Physics in 1982, Gibbs measures in ergodic theory, hyperbolic Markov partitions, proof of the existence of Hamiltonian dynamics for infinite particle...

Markov chain { X i } {\displaystyle \{X_{i}\}} is lumpable with respect to the partition T if and only if, for any subsets ti and tj in the partition...

scientists. Markov processes and Markov chains are named after Andrey Markov who studied Markov chains in the early 20th century. Markov was interested...

subshifts on 2 symbols, such that any Markov measure on the smaller subshift has a preimage measure that is not Markov of any order (Example 2.6 ). Let V...

set theory; with notable contributions including introduction of Markov partitions (with Roy Adler), development of ergodic theory of amenable groups...

Markov blanket. More formally, the free energy principle says that if a system has a "particular partition" (i.e., into particles, with their Markov blankets)...

process Markov information source Markov kernel Markov logic network Markov model Markov network Markov process Markov property Markov random field Markov renewal...

widespread problems outside of physics, such as Hopfield networks, Markov networks, Markov logic networks, and boundedly rational potential games in game...

exploring topological entropy, symbolic dynamics, ergodic theory, Markov partitions, and invariant measures "have application far beyond the axiom A systems...

Lorentz gas. In their previous paper was constructed the first infinite Markov partition for chaotic systems with singularities which allowed to transform this...