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Ergodic processStationary processStochastic processStochastic driftStationary phase approximationSelf-similar processEmpirical processStochastic differential equationBranching processDiffusion processErgodicityBranching random walkErgodic theoryMarkov modelMarkov propertySteady stateLocal martingaleMarkov decision processAsymptotic equipartition propertyCyclostationary processStochastic simulationStochastic volatilityStochastic calculusTelegraph processAutocovariancePredictable processStopped processStochastic matrixMarkov chainDeterminantal point processLog-normal distributionFeller processQuasiperiodic functionEquilibrium pointStationary pointPairwise independenceTime reversibilityCompound poisson processDiscrete-time markov chainQuadratic variationCharacteristic functionLogistic distributionGirsanov theoremAsymptotic distributionDynamical systemStochasticOptimizationStable distributionEmpirical measureStationary stateContinuous-time random walkBibo stabilityAbsorbing markov chainExponential distributionStabilityChi distributionEntropy rateMartingaleGeometric brownian motionDetrended fluctuation analysisExponential stabilityRayleigh distributionReciprocal distributionCovarianceProbability distributionLogit-normal distributionExponential mapRandom dynamical systemGaussian random fieldCircular motionFixed effects modelKolmogorov continuity theoremRenewal theoryStability theoryAdditive processBirth processConserved quantityProbability mass functionEquations of motionHyperexponential distributionNatural exponential familyContinuous-time markov chainAsymmetric laplace distributionPoisson point processIndependenceContinuous mapping theoremRandom treePrime number theoremKolmogorov equationsReflection principleCross-covarianceGaussian processProbability measureOseledets theoremContinuous uniform distributionLaw of the iterated logarithmErgodic hypothesisBalance equationBistabilityProbability-generating function