Linked from
The 15 pages that link to Poisson process, each with the reason it gives.
Queueing theoryRelated: Its memoryless event structure makes it a standard model for arrivals.
Exponential decayRelated: Its waiting times have exponential survival probabilities.
Euler's NumberRelated: Its event-count probabilities include exponential factors involving e.
Inverse secondRelated: Its event rate is measured in inverse time, commonly events per second.