2 citations · 2 across the 3 of their papers we have counts for
3 papers
Solutions of the Loewner equation with combined driving functions
Dmitri Prokhorov, Andrey Zakharov, Andrey Zherdev
The paper is devoted to the multiple chordal Loewner differential equation with different driving functions on two time intervals. We obtain exact implicit or explicit solutions to…
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…
Harmonic measures of slit sides perpendicular to the domain boundary
Dmitri Prokhorov, Andrey Zakharov
The article is devoted to the geometry of solutions to the chordal Loewner equation which is based on comparison of singular solutions and harmonic measures for the sides of a slit…