Complex Systems & Random Networks


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F. Mukhamedov

Campus Universitario de Santiago, 3810-193 Aveiro
Lab Phone: 234-378-104


My current interests are the following:

1. Investigation of phase transitions problems of certain models of statistical mechanics on Bethe lattices. Moreover, the description of the set of Gibbs measures associated with considered models.

2. Study of statistical mechanics models on networks and the organization of a randomly damaged uncorrelated networks with an arbitrary degree distribution by means of p-adic probability theory approaches. This approach is based on the investigation of p-adic dynamical systems.

3. Investigations of ergodic and mixing properties of C*-dynamical systems.

Selected Publications:

1. Ganikhodjaev N.N., Mukhamedov F.M., Mendes J.F.F. On the three state Potts model with competing interactions on the Bethe lattice, Jour. Stat. Mech. 2006, P08012, 29 p.

2. Khamraev M., Mukhamedov, F. On a class of rational p-adic dynamical systems, Jour. Math. Anal. Appl. 315(2006), 76--89.

3. Mukhamedov, F. Rozikov, U. On inhomogeneous p-adic Potts model on a Cayley tree. Infin. Dimens. Anal. Quantum Probab.

Relat. Top. 8(2005), No. 2, 277--290.

4. Mukhamedov, F., Rozikov, U. On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. I,II. Jour. Stat. Phys. 118(2004), 825-848; 119(2005), 427--446.

5. Khamraev M., Mukhamedov F.M. On p-adic lambda-model on the Cayley tree, Jour. Math. Phys. 45(2004), No. 11, 4025--4034.



Departamento de Física

Universidade de Aveiro

Campus Universitario de Santiago

3810-193 Aveiro - Portugal


Tel: 351 234 378 104

Fax: 351 234 424 964