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Geometric brownian motionBrownian noiseBrownian dynamicsQuadratic variationActive brownian particleBranching random walkMultinomial distributionBranching processDiffusion-limited aggregationFractional fourier transformDiffusion processProbability currentStochastic processIterated function systemBuddhabrotFractalFractal derivativeFeller processMartingale representation theoremBernoulli schemeStochastic driftLaw of the iterated logarithmNanoparticle tracking analysisNoncentral f-distributionEmpirical processContinuous-time random walkAsymmetric laplace distributionProbability distributionDiscrete-time fourier transformProbability-generating functionBrownian motionHausdorff measureProbability mass functionMarkov modelGaussian random fieldStochastic simulationStatistical mechanicsLog-normal distributionQuantum markov chainExponential dispersion modelRotational diffusionRegular conditional probabilityFractional anisotropyFree probabilityGompertz distributionFermionic fieldStationary ergodic processPath integral formulationFlowStochastic calculusStochastic differential equationBalance equationMotionFourier analysisDynamical systemLog-logistic distributionQuantum chaosRandom dynamical systemProbability spaceDissipative particle dynamicsTime dependent vector fieldStationary phase approximationCompact convergenceAlgorithmic probabilityEmpirical measureQuantum stateLaw of total probabilityPotential flowQuantum mechanicsReciprocal distributionPolynomial chaosPoisson point processQuantum operationNewton fractalFano factorFibrationScale parameterDiscrete poisson equationFractal curveLocal regressionLiouville field theoryFractal dimensionCorrelation dimensionCatastrophe theoryQuantum statistical mechanicsStochastic quantum mechanicsHyperexponential distributionFloquet theoryDirichlet-multinomial distributionReynolds decompositionTrapezoidal distributionExponential mapBinary entropy functionBeta planePhase spaceSkew normal distributionStochastic volatilityMarginal distributionDirect simulation monte carloTurbulence