## A general theory of first-passage distributions in transport and multiplicative processes |

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### Contents

ABSTRACT | 3 |

DISCONTINUOUS FIRSTPASSAGE PROCESSES | 7 |

MULTIPLICATIVE AND CASCADE FIRSTPASSAGE | 13 |

Copyright | |

2 other sections not shown

### Common terms and phrases

absolute velocity annihilation of particles assume atomic events Chapman-Kolmogorov relation 2.2 collision while traveling convergent series creation and annihilation direction of motion elementary events escape probability example first-passage distribution P0 hence infinite number infinity of atomic integral equation 4.2 J. E. Moyal Kolmogorov relation Lorentz-invariant formulation Markov process mean free path measurable function measurable subsets meson Milne problem minimal nonnegative solution multiplicative first-passage process MULTIPLICATIVE PROCESSES neutron no-passage probability nucleon cascades number of collisions o-field ordered pairs ordered set partially order particle effects particle initially particle suffers prob probability distribution probability measure process is stable PURE MULTIPLE SCATTERING regular solution PR represents the probability right-hand side satisfies the Chapman-Kolmogorov scattering process Section sequences Qn solution of 4.2 space space-like surfaces special relativity stopping or escape Theorem ticle tion TRANSPORT AND MULTIPLICATIVE type of particle Z Z G1