Denis S. Grebenkov

The optimal placement of many small traps in heterogeneous media switches from an arithmetic to a geometric average of diffusivity and particle distribution as trapping strength increases, with the latter dominating most practical scenarios.

Autocatalytic replication can dramatically speed up the search for reactive targets, but it comes with trade-offs that could limit efficiency.

The intricate balance between replication and elimination in autocatalytic processes reveals surprising long-term population behaviors that challenge conventional understanding.

Finite-speed searchers dramatically outperform Brownian particles in target detection, converging exponentially fast to the minimal ballistic travel time as the number of searchers increases.