34 citations · 69 across the 3 of their papers we have counts for
4 papers
Exact solution of the random bipartite matching model
Viktor Dotsenko
In this paper we present the exact solution for the average minimum energy of the random bipartite matching model with an arbitrary finite number of elements where random paired in…
Griffith Singularities and the Replica Instantons in the Random Ferromagnet
Viktor Dotsenko
The problem of existence of non-analytic (Griffith-like) contributions to the free energy of weakly disordered Ising ferromagnet is studied from the point of view of the replica th…
Random Bond Potts Model: the Test of the Replica Symmetry Breaking
Viktor Dotsenko, Vladimir Dotsenko, Marco Picco
Averaged spin-spin correlation function squared is calculated for the ferromagnetic random bond Potts model. The technique being used is the renormaliza…
RENORMALIZATION GROUP SOLUTION FOR THE TWO-DIMENSIONAL RANDOM BOND POTTS MODEL WITH BROKEN REPLICA SYMMETRY
Viktor Dotsenko, Vladimir Dotsenko, Marco Picco +1
We find a new solution of the renormalization group for the Potts model with ferromagnetic random valued coupling constants. The solution exhibits universality and broken replica s…