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math.CO2022
Positive and negative cycles in Boolean networks
Adrien Richard
We review and discuss some results about the influence of positive and negative feedback cycles in asynchronous Boolean networks. These results merge several ideas of Thomas: posit…
math.CO2022
Nilpotent dynamics on signed interaction graphs and weak converses of Thomas' rules
Adrien Richard
A finite dynamical system with components is a function where is a product of finite intervals of integers. The structure of such a…