Factorial moments are convenient tools in nuclear physics to characterize the multiplicity distributions when phase-space resolution (Delta) becomes small. For uncorrelated particle production within Delta, Gaussian statistics holds and factorial moments Fq are equal to unity for all orders q....

Classical quantitative finance models such as the Geometric Brownian Motion or its later extensions such as local or stochastic volatility models do not make sense when seen from a physics-based perspective, as they are all equivalent to a negative mass oscillator with a noise. This paper...

Portfolio ChoiceIntroductionUtilityMean-variance analysisThe Binomial ModelOne-period modelMulti-period modelA General Discrete-Time ModelOne-period modelMulti-period modelBrownian MotionIntroductionHitting-time distributionsGirsanov's theoremBrownian motion as a limitStochastic calculusThe...