18 citations · 92 across the 27 of their papers we have counts for
29 papers
Analytical solutions for Ising models on high dimensional lattices
Boris Kryzhanovsky, Leonid Litinskii, Vladislav Egorov
We use an m-vicinity method to examine Ising models on hypercube lattices of high dimensions d>=3. This method is applicable for both short-range and long-range interactions. We in…
n-vicinity method for Ising Model with long-range interaction
Inna Kaganowa, Boris Kryzhanovsky, Leonid Litinskii
The previously developed n-vicinity method allows us to calculate accurately critical values of inverse temperatures for Ising models with short-range interaction. We generalize th…
Inverse problem for Ising connection matrix with long-range interaction
Leonid Litinskii, Boris Kryzhanovsky
In the present paper, we examine Ising systems on d-dimensional hypercube lattices and solve an inverse problem where we have to determine interaction constants of an Ising connect…
Influence of long-range interaction on degeneracy of eigenvalues of connection matrix of d-dimensional Ising system
B. V. Kryzhanovsky, L. B. Litinskii
We examine connection matrices of Ising systems with long-rang interaction on d-dimensional hypercube lattices of linear dimensions L. We express the eigenvectors of these matrices…
Bimodal coalitions and neural networks
L. B. Litinskii, I. M. Kaganowa
We give an account of the Axelrod-Bennet model that describes formation of a bimodal coalition. We present its initial formalism and applications and reformulate the problem in ter…
Eigenvalues of Ising Hamiltonian with long-range interactions
Leonid Litinskii, Boris Kryzhanovsky
We obtained analytically eigenvalues of a multidimensional Ising Hamiltonian on a hypercube lattice and expressed them in terms of spin-spin interaction constants and the eigenvalu…