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Просмотр Научные публикации в Scopus по автору "Stepanov R."

Просмотр Научные публикации в Scopus по автору "Stepanov R."

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  • Combinatorial optimization problems in ultrametric spaces 
    Missarov M.; Stepanov R. (2003)
    We study the solutions of some known combinatorial optimization problems including the minimum matching problem, the minimum spanning tree problem, and the traveling salesman problem in d-dimensional p-adic spaces. It ...
  • Critical exponents in fermionic hierarchical model 
    Stepanov R. (2009)
    We consider the problem of algebraic computation of the critical exponent ν in the 2N-component fermionic Dyson model on a hierarchical lattice without the use of perturbation theory. Analyzing the results in a particular ...
  • Critical exponents in p-adic 4-model 
    Missarov M.; Stepanov R. (2006)
    We consider 4-model with O(N)-symmetry in d-dimensional p-adic space using the approach of renormalized projection Hamiltonians. Critical exponents ν and η are calculated up to three orders of perturbation theory using two ...
  • Epsilon-expansion in the N-component φ4 model 
    Missarov M.; Stepanov R. (2006)
    The formalism of projection Hamiltonians is applied to the N-component O(N)-invariant φ4 model in the Euclidean and p-adic spaces. We use two versions of the ε-expansion (with ε = 4 - d and with ε = α - 3d/2, where α is ...
  • On vertex parts of p-adic Feynman amplitudes 
    Missarov M.; Stepanov R. (2009)
    We reduce the calculation of the vertex parts of p-adic Feynman amplitudes to a recursive procedure for evaluating singular parts of certain integrals. We propose an algorithm for calculating these integrals in the general ...
  • Renormalization-group transformation in a 2n-component fermionic hierarchical model 
    Stepanov R. (2006)
    We study the 2N-component fermionic model on a hierarchical lattice and give explicit formulas for the renormalization-group transformation in the space of coefficients that determine a Grassmann-valued density of the free ...

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