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math.PR2024★ 4 cited
A Stochastic Calculus Approach to Boltzmann Transport
J. Darby Smith, Rich Lehoucq, Brian Franke
Traditional Monte Carlo methods for particle transport utilize source iteration to express the solution, the flux density, of the transport equation as a Neumann series. Our contri…
math.PR2023
Induced Distributions from Generalized Unfair Dice
Douglas T. Pfeffer, J. Darby Smith, William Severa
In this paper we analyze the probability distributions associated with rolling (possibly unfair) dice infinitely often. Specifically, given a -sided die, if $x_i\in\{0,\ldots,q-…