209 citations · 5.6k across the 322 of their papers we have counts for
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Zeroth-Order Nucleation Transition under Nanoscale Phase Separation
V. I. Yukalov, E. P. Yukalova
Materials with nanoscale phase separation are considered. A system representing a heterophase mixture of ferromagnetic and paramagnetic phases is studied. After averaging over phas…
A Resolution of St. Petersburg Paradox
V. I. Yukalov
The St. Petersburg paradox is the oldest paradox in decision theory and has played a pivotal role in the introduction of increasing concave utility functions embodying risk aversio…
From Asymptotic Series to Self-Similar Approximants
V. I. Yukalov, E. P. Yukalova
The review presents the development of an approach of constructing approximate solutions to complicated physics problems, starting from asymptotic series, through optimized perturb…
Self-similar extrapolation of nonlinear problems from small-variable to large-variable limit
V. I. Yukalov, E. P. Yukalova
Complicated physical problems usually are solved by resorting to perturbation theory leading to solutions in the form of asymptotic series in powers of small parameters. However, f…
Hartree-Fock-Bogolubov method in the theory of Bose-condensed systems
V. I. Yukalov, E. P. Yukalova
The Hohenberg-Martin dilemma of conserving versus gapless theories for systems with Bose-Einstein condensate is considered. This dilemma states that, generally, a theory characteri…
Interplay Between Approximation Theory and Renormalization Group
V. I. Yukalov
The review presents general methods for treating complicated problems that cannot be solved exactly and whose solution encounters two major difficulties. First, there are no small…
Quantum Uncertainty in Decision Theory
V. I. Yukalov
An approach is presented treating decision theory as a probabilistic theory based on quantum techniques. Accurate definitions are given and thorough analysis is accomplished for th…
Self-similar extrapolation in quantum field theory
V. I. Yukalov, E. P. Yukalova
Calculations in field theory are usually accomplished by employing some variants of perturbation theory, for instance using loop expansions. These calculations result in asymptotic…
Tossing Quantum Coins and Dice
V. I. Yukalov
The procedure of tossing quantum coins and dice is described. This case is an important example of a quantum procedure because it presents a typical framework employed in quantum i…