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MartingaleDoob's martingale inequalityStochastic differential equationDiscrete-time markov chainSemimartingaleOptional stopping theoremCox processMartingale representation theoremStochastic processGaussian processMarkov processProbability-generating functionKolmogorov extension theoremContinuous-time markov chainPredictable processDeterminantal point processKolmogorov continuity theoremExponential distributionGeometric brownian motionAutocovarianceProbability integral transformTakens's theoremMarkov chainCompound poisson distributionSupermartingalePoisson distributionRight stochastic matrixDetrended fluctuation analysisEntropy rateBranching processTime-scale calculusTransition matrixMarkov kernelMarkov partitionBernoulli processDirichlet's approximation theoremKolmogorov equationsMalliavin calculusMartingale central limit theoremDiffusion processReflection principleStochastic driftSubmartingaleCompound probability distributionChain ruleDetailed balanceChaos theoryFiltrationZeckendorf's theoremMixture distributionErgodicitySkorokhod's representation theoremLogarithmic distributionStopping timeOseledets theoremRiemann-stieltjes integralErgodic processStochastic matrixSmoothnessGamma processKolmogorov's three-series theoremSymbolic dynamicsPoisson summation formulaLocal martingaleMarkov chain central limit theoremPoisson binomial distributionProbability density functionStationary ergodic processProbability mass functionProbability distributionGillespie algorithmCharacteristic functionIntegration by partsDirac delta functionRecursive bayesian estimationHypoexponential distributionExponential mapTangential and normal componentsMultivariate laplace distributionBranching random walkHoeffding's inequalityQuadratic variationCentral limit theoremStochastic controlBinomial distributionDiscrete uniform distributionHyperbolic secant distributionPoisson processProbabilistic turing machineGittins indexRandom dynamical systemSharkovskii's theoremDini's theoremStationary processStochastic volatilityStability theoryDiscrete fourier transformCumulative distribution functionLefschetz fixed-point theoremDirichlet-multinomial distribution