Stochastic resetting in a networked multiparticle system with correlated transitions

The state of many physical, biological and socio-technical systems evolves by combining smooth local transitions abrupt resetting events to a set reference values. inclusion the mechanism not only provides possibility modeling wide variety realistic but also leads interesting novel phenomenology present in reset-free cases. However, most models where stochastic is studied address case finite number uncorrelated variables, commonly single one, such as position non-interacting random walkers. Here we overcome this limitation framing process network growth with node deletion problem an arbitrarily large degrees freedom are coupled influence each other, both non-resetting (growth) events. We find exact, full-time solution model, several out-of-equilibrium properties characterized function rates, emergence time-dependent percolation-like phase transition, first-passage statistics. Coupled multiparticle subjected necessary generalization theory resetting, model presented herein serves illustrative, natural solvable example generalization.