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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…
math.PR2025★ 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…