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4 papers
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…
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…
Autocatalytic cores in the diluted regime:classification and properties
Praneet Nandan, Philippe Nghe, Jeremie Unterberger
Autocatalysis underlies the ability of chemical and biochemical systems to replicate. Autocatalysis was recently defined stoichiometrically for reaction networks; five types of min…
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…