Stochastic Petri Nets and Poisson distributions at 5.40 £ in Hampstead
Post date: Mar 09, 2014 8:1:58 PM
Today London was in feast: 21 degrees.
I decided to cut the grass in the garden, go jogging, and sit in a Café in Hampstead Heath and read a bit about Stochastic Petri Nets.
I ended up reading about the Anderson-Craciun-Kurtz theorem for stochastic operators, also called deficiency-zero theorem.
Put in simple terms, let's suppose you have a continuous Markov-model, which you can interpret as a chain of reactions between different chemical components.
The theorem says that the system admits a stationary distribution which is a Poisson distribution! This is an amazing thing, and indeed, it costed 5.40£ to me: the value of an americano and a piece of lemon cake in Hampstead Heath.