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The search results for "math.PR" cover recent advancements in mathematical and physical research. One paper discusses the development of an analog front-end for negative-ion gas and dual-phase liquid argon time projection chambers (TPCs), which are used in dark matter searches and neutrino studies. Another provides a practical guide to stochastic simulations of reaction-diffusion processes, introducing methods like the Gillespie algorithm for beginners without requiring prior knowledge.
We report on the recent development of a versatile analog front-end compatible with a negative-ion $ΞΌ$-TPC for a directional dark matter search as well as a dual-phase, next-generation $\mathcal{O}$(10~kt) liquid argon TPC to study neutrino oscillations, nucleon decay, and astrophysical neutrinos. β¦
A practical introduction to stochastic modelling of reaction-diffusion processes is presented. No prior knowledge of stochastic simulations is assumed. The methods are explained using illustrative examples. The article starts with the classical Gillespie algorithm for the stochastic modelling of cheβ¦