38 citations · 52 across the 6 of their papers we have counts for
6 papers
Dynamics of quadratic operators generated by China's Five elements philosophy
N. N. Ganikhodjaev, C. H. Pah, U. A. Rozikov
Motivating by the China's five element philosophy (CFEP) we construct a permuted Volterra quadratic stochastic operator acting on the four dimensional simplex. This operator (depen…
On Ground States and Phase Transition for -Model with the Competing Potts Interactions on Cayley Trees
Farrukh Mukhamedov, Chin Hee Pah, Hakim Jamil +1
In this paper, we consider the -model with nearest neighbor interactions and with competing Potts interactions on the Cayley tree of order-two. We notice that if -function is…
Periodic and Weakly Periodic Ground States for the -Model on Cayley Tree
Farrukh Mukhamedov, Chin Hee Pah, Muzaffar Rahmatullaev +1
In this paper we consider the -model on the Cayley tree of order two. We describe periodic and weakly periodic ground states for the considered model.
On Ground States and Phase Transitions of -Model on the Cayley Tree
Farrukh Mukhamedov, Chin Hee Pah, Hakim Jamil
In the paper, we consider the -model with spin values on the Cayley tree of order two. We first describe ground states of the model. Moreover, we also proved the e…
Single Polygon Counting for Fixed Nodes in Cayley Tree: Two Extremal Cases
Farrukh Mukhamedov, Chin Hee Pah, Mansoor Saburov
We denote a polygon as a connected component in Cayley tree of order 2 containing certain number of fix vertices. We found an exact formula for a polygon counting problem for two c…
Phase diagram of the three states Potts model with next nearest neighbor interactions on the Bethe lattice
Nasir Ganikhodjaev, Farrukh Mukhamedov, Chin Hee Pah
We have found an exact phase diagram of the Potts model with next nearest neighbor interactions on the Bethe lattice of order two. The diagram consists of five phases: ferromagneti…