1 citations · 1 across the 7 of their papers we have counts for
9 papers
Stokes graphs of the Rabi problem with real parameters
René Langøen, Irina Markina, Alexander Yu. Solynin
The goal of this paper is to study the geometry of the Stokes graphs associated with the problem, which was introduced by Isidor Rabi in 1937 to model reactions of atoms to the har…
Temperature on rods with Robin boundary conditions
Dimitrios Betsakos, Alexander Yu. Solynin
We consider solutions to the one-dimensional Robin problem with the heat source and Robin parameter . For given , , and , , we iden…
Conformal capacity of hedgehogs
Dimitrios Betsakos, Alexander Solynin, Matti Vuorinen
In this paper we discuss problems concerning the conformal condenser capacity of "hedgehogs", which are compact sets in the unit disk consisting of a…
A note on the squeezing function
Alexander Yu. Solynin
The squeezing problem on can be stated as follows. Suppose that is a multiply connected domain in the unit disk containing the origin . How far c…
Infinitesimally small spheres and conformally invariant metrics
Stamatis Pouliasis, Alexander Yu. Solynin
The modulus metric (also called the capacity metric) on a domain can be defined as $μ_D(x,y)=\inf\{\mbox{cap}\,(D,γ)\}$, where ${\mbox{cap}}\,(D,γ)$ stands…
Root-counting measures of Jacobi polynomials and topological types and critical geodesics of related quadratic differentials
Boris Shapiro, Alexander Solynin
Two main topics of this paper are asymptotic distributions of zeros of Jacobi polynomials and topology of critical trajectories of related quadratic differentials. First, we will d…
Korenblum-Type Extremal Problems in Bergman Spaces
Pritha Chakraborty, Alexander Solynin
We shall study non-linear extremal problems in Bergman space . We show the existence of the solution and that the extremal functions are bounded. Further…
Continuous symmetrization via polarization
Alexander Yu. Solynin
We discuss a one-parameter family of transformations which changes sets and functions continuously into their (k,n)-Steiner symmetrizations. Our construction consists of two stages…
An isoperimetric inequality for logarithmic capacity of polygons
Alexander Yu. Solynin, Victor A Zalgaller
We verify an old conjecture of G. Polya and G. Szego saying that the regular n-gon minimizes the logarithmic capacity among all n-gons with a fixed area.