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math.PR2026★ 1 cited
An introduction to random rule-based chemical networks
Jeremie Unterberger
Large chemical networks appear in various branches of chemistry and biology, in particular, cellular metabolism and prebiotic chemistry. Detailed simulations of such networks are d…
math.PR2025
General multi-scale estimates for Lyapunov data of Perron-Frobenius matrices. The case of diluted autocatalytic chemical reaction networks
Jeremie Unterberger
Autocatalytic chemical reaction networks are dynamical systems whose linearization around zero, dX/dt = AX, is represented by a Perron-Frobenius matrix A with positive Lyapunov exp…
math.PR2025
Optimal multi-time-scale estimates for diluted autocatalytic chemical networks. (1) Introduction and -dominant case
Jeremie Unterberger
Autocatalytic chemical networks are dynamical systems whose linearization around zero has a positive Lyapunov exponent; this exponent gives the growth rate of the system in the dil…