Fluent NHibernate: Model Markov chain

Answer 1

Maybe I'm misunderstanding the question, but your HasMany mapping points to CurrentState_Id. I think you're mappings should look like:

class MarkovStateMap : ClassMap<MarkovState>
{
    public MarkovStateMap()
    {
        Id(x => x.Id);
        Map(x => x.StateContent);
        HasMany<TransitionProbability>(x => x.TransitionProbabilities)
            .AsMap(x => x.NextState.Id)
            .KeyColumn("NextState_Id")
            .Not.LazyLoad()
            .Inverse();            
    }
}

class TransitionProbabilityMap : ClassMap<TransitionProbability>
{
    public TransitionProbabilityMap()
    {
        Id(x => x.Id);
        Map(x => x.Probability);
        References(x => x.CurrentState, "Id");
        References(x => x.NextState, "Id");
    }
}