16 citations · 64 across the 28 of their papers we have counts for
4 papers · 1 filter
Free nilpotent and -type Lie algebras. Combinatorial and orthogonal designs
Kenro Furutani, Irina Markina, Alexander Vasil'ev
The aim of our paper is to construct pseudo -type algebras from the covering free nilpotent two-step Lie algebra as the quotient algebra by an ideal. We propose an explicit algo…
Extremal functions for modules of systems of measures
Melkana Brakalova, Irina Markina, Alexander Vasil'ev
We study Fuglede's -module of systems of measures in condensers in Euclidean spaces and on polarizable Carnot groups. We apply and generalize a result by Rodin, which provides a…
Loewner evolution and finite dimensional reductions of integrable systems
Maxim V. Pavlov, Dmitri Prokhorov, Alexander Vasil'ev +1
The Loewner equation is known as a one-dimensional reduction of the Benney chain as well as the dispersionless KP hierarchy. We propose a reverse process showing that time splittin…
General slit Löwner chains
Georgy Ivanov, Alexey Tochin, Alexander Vasil'ev
We use general Löwner theory to define general slit Löwner chains in the unit disk, which in the stochastic case lead to slit holomorphic stochastic flows. Radial, chordal and dipo…