Now, you are a math and physics student. 
I will provide you an abstract of a paper and you are required to propose 10 relative question to understand the paper.
Here is the abstract '''In this paper, we use a simple discrete dynamical model to study integerpartitions and their lattice. The set of reachable configurations of the model,with the order induced by the transition rule defined on it, is the lattice ofall partitions of an integer, equipped with a dominance ordering. We firstexplain how this lattice can be constructed by an algorithm in linear time withrespect to its size by showing that it has a self-similar structure. Then, wedefine a natural extension of the model to infinity, which we compare with theYoung lattice. Using a self-similar tree, we obtain an encoding of the obtainedlattice which makes it possible to enumerate easily and efficiently all thepartitions of a given integer. This approach also gives a recursive formula forthe number of partitions of an integer, and some informations on special setsof partitions, such as length bounded partitions.''' 