1. Find Fano Factor for a model with two gene copies and fixed concentration of transcriptional factors.

2. Derive system of equations for moments in the stationary state in an autoregulation model with dimerization of protein molecules. 

3. Construct infinite-volume Gibbs states for a Hamiltonian with a unique (up to translations) periodic ground-state configurations. 
   Use Peierls contours.

4. Find all ground-state configurations for one-dimensional Ising model with nearest-neighbor 
   and next-nearest-neighbor interactions. A general algorithm is presented in the following paper.

The Third Law of Thermodynamics,  J. Miękisz i C. Radin,   Mod. Phys. Lett. B1: 61-65 (1987)  pdf 




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