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The search results for "math.GR" include topics not directly related to group theory, which is typically covered under this mathematical category. Instead, they describe advancements in physics and simulations: the first result details the development of an analog front-end for negative-ion and liquid argon time projection chambers (TPCs) used in dark matter and neutrino research, while the second offers a practical guide to stochastic simulations of reaction-diffusion processes, beginning with the Gillespie algorithm. These results indicate a focus on applied physics and computational methods rather than pure mathematical group theory.
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arxiv.org
Prototype Analog Front-end for Negative-ion Gas and Dual-phase Liquid-Ar TPCs

We report on the recent development of a versatile analog front-end compatible with a negative-ion $ฮผ$-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. โ€ฆ

physics.ins-det
arxiv.org
A practical guide to stochastic simulations of reaction-diffusion processes

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 cheโ€ฆ

q-bio.SC physics.ed-ph q-bio.QM