67 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Russian Academy of SciencesRU25 papers
- P.N. Lebedev Physical Institute of the Russian Academy of SciencesRU15 papers
- Institute for Systems AnalysisRU5 papers
- Moscow Institute of Physics and TechnologyRU3 papers
- National Research University Higher School of EconomicsRU3 papers
- Lomonosov Moscow State UniversityRU2 papers
- National Research Nuclear University MEPhIRU2 papers
- Steklov Mathematical InstituteRU2 papers
- Advanced Optical Technologies (United States)US1 paper
- Ben-Gurion University of the NegevIL1 paper
- Chinese Academy of SciencesCN1 paper
- European Organization for Nuclear ResearchCH1 paper
9 papers · 1 filter
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…
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…
Global Minimum Depth In Edwards-Anderson Model
Iakov Karandashev, Boris Kryzhanovsky
In the literature the most frequently cited data are quite contradictory, and there is no consensus on the global minimum value of 2D Edwards-Anderson (2D EA) Ising model. By means…
N-vicinity method and 1D Ising Model
B. V. Kryzhanovsky, L. B. Litinskii
For a 1D Ising model, we obtained an exact expression for the spectral density in an n-vicinity of the ground state and explained why our n-vicinity method with the Gaussian approx…
Applicability of n-vicinity method for calculation of free energy of Ising model
Boris Kryzhanovsky, Leonid Litinskii
In a previous work, the n-vicinity method for approximate calculation of the partition function of a spin system was proposed. The equation of state was obtained in the most genera…
Approximate method of free energy calculation for spin system with arbitrary connection matrix
Boris Kryzhanovsky, Leonid Litinskii
The proposed method of the free energy calculation is based on the approximation of the energy distribution in the microcanonical ensemble by the Gaussian distribution. We hope tha…
Weighted Patterns as a Tool for Improving the Hopfield Model
Iakov Karandashev, Boris Kryzhanovsky, Leonid Litinskii
We generalize the standard Hopfield model to the case when a weight is assigned to each input pattern. The weight can be interpreted as the frequency of the pattern occurrence at t…
Increasing the attraction area of the global minimum in the binary optimization problem
Iakov Karandashev, Boris Kryzhanovsky
The problem of binary minimization of a quadratic functional in the configuration space is discussed. In order to increase the efficiency of the random-search algorithm it is propo…
Minimization of Quadratic Binary Functional with Additive Connection Matrix
Leonid Litinskii
(NxN)-matrix is called additive when its elements are pair-wise sums of N real numbers. For a quadratic binary functional with an additive connection matrix we succeeded in finding…