and ergodic theory, a Markov operator is an operator on a certain function space that conserves the mass (the so-called Markov property). If the underlying...

chain mixing time Markov chain tree theorem Markov decision process Markov information source Markov odometer Markov operator Markov random field Master...

stochastic matrix is a square matrix used to describe the transitions of a Markov chain. Each of its entries is a nonnegative real number representing a probability...

matrix, and the projection operators are to be replaced by positive operator valued measures. More precisely, a quantum Markov chain is a pair ( E , ρ )...

{ P t } t ≥ 0 {\displaystyle \{P_{t}\}_{t\geq 0}} a Markov semigroup of non-negative operators on L 2 ( X , μ ) {\displaystyle L^{2}(X,\mu )} , A {\displaystyle...

(z)=(\det(I-zA))^{-1}\ .} Transfer operator De Bruijn graph Quantum finite automata Axiom A Sofic Measures: Characterizations of Hidden Markov Chains by Linear Algebra...

A continuous-time Markov chain (CTMC) is a continuous stochastic process in which, for each state, the process will change state according to an exponential...

The general setting is that of a Markov operator on a measured space, a notion which generalises the Markov operator f ↦ f ∗ μ {\displaystyle f\mapsto...

quantum Markov semigroup describes the dynamics in a Markovian open quantum system. The axiomatic definition of the prototype of quantum Markov semigroups...

In probability, a discrete-time Markov chain (DTMC) is a sequence of random variables, known as a stochastic process, in which the value of the next variable...

Discrete-time Markov chain § Stationary distributions and continuous-time Markov chain § Stationary distribution, a special distribution for a Markov chain such...

the expected value (also called expectation, expectancy, expectation operator, mathematical expectation, mean, expectation value, or first moment) is...

relating to stochastic processes, a Feller process is a particular kind of Markov process. Let X be a locally compact Hausdorff space with a countable base...

study of Markov operators" Dept. of Mathematics, University of North Carolina at Chapel Hill, 1980 Shaul R. Foguel "The Ergodic theory of Markov processes"...

x_{t+1}=i)} . Kolmogorov's criterion defines the condition for a Markov chain or continuous-time Markov chain to be time-reversible. Time reversal of numerous classes...

exploration–exploitation dilemma. The environment is typically stated in the form of a Markov decision process (MDP), as many reinforcement learning algorithms use dynamic...

continuity; the Markov property; the strong Markov property; the existence of an infinitesimal generator; the existence of a characteristic operator; Dynkin's...

components. This vector corresponds to the stationary distribution of the Markov chain represented by the row-normalized adjacency matrix; however, the adjacency...

Archived from the original on January 11, 2023. Retrieved December 30, 2022. Markov, Todor; Zhang, Chong; Agarwal, Sandhini; Eloundou, Tyna; Lee, Teddy; Adler...

Obozreniye Bronetankovoj Tekhniki (1905–1995 gg.) Bastion Nevskij 269-71 Markov, David Andrew Hull, Steven Zaloga Soviet/Russian Armor and Artillery Design...

of Markov processes. In other scenarios, the closely related Lumer–Phillips theorem is often more useful in determining whether a given operator generates...

sequence of output data, a realization of an underlying state-space or hidden Markov model is desired. The singular value decomposition of the Hankel matrix...

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

Attacking Cryptographic Systems (SHARCS '09). 09: 105–117. Viamontes G.F.; Markov I.L.; Hayes J.P. (2005), "Is Quantum Search Practical?" (PDF), Computing...

interest can be neglected. These three approximations are called Born, Markov, and rotating wave, respectively. The weak-coupling limit derivation assumes...

Diffusion maps exploit the relationship between heat diffusion and random walk Markov chain. The basic observation is that if we take a random walk on the data...

unbounded search operator is related to Markov's principle. In the following x represents the string xi, ..., xn. The bounded μ-operator can be expressed...

functions is achieved by applying Riesz-Markov, as above. In this formulation, T can be a normal operator. Given an operator T, the range of the continuous functional...

the Jones polynomial. This is done by means of the Markov trace. The "Markov trace" is a trace operator defined on the Temperley–Lieb algebra T L n ( d )...

parameterized, mathematicians often use a Markov chain Monte Carlo (MCMC) sampler. The central idea is to design a judicious Markov chain model with a prescribed...