New balancing conditions to derive stationary measures for Chemical Reaction Networks

The thesis deals, in the context of Chemical Reaction Networks, with studying the conditions under which the existence of a stationary distribution can be demonstrated, highlighting its connection with the validity of certain balancing conditions. In this regard, state-of-the-art results and a research study on the existence of new possible conditions are presented. In particular, the thesis starts from the article "Stationary measures for stochastic closed loop networks" not yet published and written by Daniele Cappelletti, Badal Joshi and Enrico Bibbona. Taking inspiration from it, new balancing conditions on loops are defined, built starting from the reactions within a Chemical Reaction Network. These conditions are then used in order to demonstrate the existence of a stationary measure in cases not previously included in the state-of-the-art and examples are brought in order to corroborate this statement.