Projects:

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 


5.

6. 


EXAMS and MIDTERMS

Exam08   pdf  

Exam10   pdf  

Exam11   pdf  

Exam12   pdf  

Exam13   pdf  

Exam14   pdf  


Midterm09  pdf  

Midterm10  pdf 

Midterm13  pdf 

Midterm14  pdf 

Midterm15  pdf