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20232026
most citedOn the Novikov problem with a large number of quasiperiods and its generalizations

2 citations · 2 across the 8 of their papers we have counts for

collaborators

8 papers

cond-mat.mtrl-sci2026

Analytical approximations of dispersion laws and ultra-complex conductivity diagrams

A. Ya. Maltsev

We study the probability of the emergence of ultra-complex conductivity diagrams in conductors that satisfy the tight-binding approximation and have the simple or body-centered cub…

cond-mat.mtrl-sci2026

Ultra-complex conductivity diagrams in the nearly free electron approximation

A. Ya. Maltsev

We investigate the possibility of the emergence of ultra-complex conductivity diagrams in the nearly free electron approximation for metals with cubic symmetry. Estimates show that…

cond-mat.mtrl-sci2025

On chaotic regimes of conductivity behavior in the tight-binding approximation

A. Ya. Maltsev

We investigate the probability of detecting the most nontrivial conductivity behavior regimes in metals whose electron spectrum is described by the tight-binding approximation. The…

math-ph2025

On the Novikov problem for dihedral symmetry potentials

A. Ya. Maltsev

We consider Novikov's problem of describing level lines of quasiperiodic functions on a plane for two-dimensional potentials of dihedral symmetry. It is shown that quasiperiodic po…

math-ph2025

On the scaling properties of quasicrystalline potentials of eightfold rotational symmetry

A. Ya. Maltsev

We consider a special class of quasi-periodic potentials arising in the physics of photonic systems and possessing rotational symmetry of the 8th order. We are interested in the ``…

math-ph2025

On the level lines of two-layer symmetric potentials

A. Ya. Maltsev

We consider the behavior of level lines of two-dimensional potentials, which play an important role in the physics of ``two-layer'' systems. Potentials of this type are quasiperiod…

cond-mat.stat-mech2024

Specificity of -- approximation for chaotic electron trajectories on complex Fermi surfaces

A. Ya. Maltsev

The work examines a special behavior of the magnetic conductivity of metals that arises when chaotic electron trajectories appear on the Fermi surface. This behavior is due to the…

math-ph2023★ 2 cited

On the Novikov problem with a large number of quasiperiods and its generalizations

A. Ya. Maltsev

The paper considers the Novikov problem of describing the geometry of level lines of quasi-periodic functions on the plane. We consider here the most general case, when the number…