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Thanks. Maybe you can just describe the basics and what is `branching' in your particular problem.

Yeah, many applications for things that die... Absent an explanation from the OP, the role of f(T) seems obscure to me.Can anybody see a natural problem setup (say for the associated PDE I posted) with the terminal condition I gave?

consider a poisson process for the fathers and a poisson for every daughterconditioned to 1 father at time "s". both the feller branching and this one have the same pde. one at generating function level one at infinitesimal generator level. I like the proof in the link.

Welcome back, riccardo. So what you just described was the problem you posted about? Is there a physical interpretation for the population that is branching (beyond it just being some abstract population)?What is the motivation for the conditioning?

yes it was the problem.yes it can be a model for a real problem this is way there is finite time t and not infinity but i'm not still sure it can work well. you want to study population at time t. it is an easy simplificationoisson. one common thing you can recognize is exp(\mu(z-1)).I like the abstract solution too is a continuos branching.conditioning is just to have an initial anchestor we can also drop it and you'll drop the term thef in front of it .

I have to say that decoding your reply is a Brainteaser in itself.

QuoteOriginally posted by: AlanI have to say that decoding your reply is a Brainteaser in itself. like this?

haha! -- pretty close ...

yeah, Jack Benny program was my favourite show when I was a kid. And Rochester was great.