3 papers
math.DS2025
Journey Through the World of Dynamical Systems on Networks
A. Puchalska, M. N. Cartier van Dissel, P. Gora +9
We present a subjective selection of methods for complex systems analysis ranging from statistical tools through numerical methods based on AI to both linear and non-linear ODEs an…
math.PR2020
Stochastic reaction-diffusion equations on networks
Mihály Kovács, Eszter Sikolya
We consider stochastic reaction-diffusion equations on a finite network represented by a finite graph. On each edge in the graph a multiplicative cylindrical Gaussian noise driven…
math.AP2020
On the stochastic Allen-Cahn equation on networks with multiplicative noise
Mihály Kovács, Eszter Sikolya
We consider a system of stochastic Allen-Cahn equations on a finite network represented by a finite graph. On each edge in the graph a multiplicative Gaussian noise driven stochast…