D. Minenkov

collaborators

3 papers

math-ph2016

Quantum Vorticity at positive temperature for spin systems with continuous symmetry

Dimitriy Minenkov, Michel Rouleux

We propose a definition of vorticity at inverse temperature $β$ for Gibbs states in quantum XY or Heisenberg spin systems on the lattice by testing $exp [- β H]$ on a complete set of…

math.NT2016

Asymptotics of the counting function of $k$ -th power-free elements in an arithmetic semigroup

V. L. Chernyshev, D. S. Minenkov, V. E. Nazaikinskii

For any $k > 1$ , we find the asymptotics of the counting function of $k$ -th power-free elements in an additive arithmetic semigroup with exponential growth of the abstract prime coun…

math.AP2012

Functions of noncommuting operators in an asymptotic problem for a 2D wave equation with variable velocity and localized right-hand side

S. Dobrokhotov, D. Minenkov, V. Nazaikinskii +1

We use the theory of functions of noncommuting operators (noncommutative analysis) to solve an asymptotic problem for a partial differential equation and show how, starting from ge…

Quantum Vorticity at positive temperature for spin systems with continuous symmetry

Asymptotics of the counting function of k-th power-free elements in an arithmetic semigroup

Functions of noncommuting operators in an asymptotic problem for a 2D wave equation with variable velocity and localized right-hand side

Asymptotics of the counting function of $k$ -th power-free elements in an arithmetic semigroup