output
20062026
most citedUnifying time evolution and optimization with matrix product states

815 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing math.CVShow all

8 papers · 1 filter

math.CV2022

On the solution of a conformal mapping problem by means of Weierstrass functions

Matvey Smirnov

The conformal mapping problem for the section of a channel filled with porous material under a rectangular dam onto the upper half-plane is considered. Similar problems arise in co…

math.CV2018★ 1 cited

Water flow under rectangular dam

Andrei Bogatyrëv, Oleg Grigor'ev

A new analytical method for calculation the characteristics of the flow in porous medium bounded by a rectangular polygonal path is proposed. The method is based on the usage of hi…

math.CV2016★ 8 cited

Conformal mapping of rectangular heptagons II

A. B. Bogatyrev, O. A. Grigor'ev

A new analytical method for the conformal mapping of a rectangular heptagon with a straight angle at infinity to a half plane and back is proposed. The method is based on the obser…

math.CV2015★ 3 cited

Capacity of several aligned segments

Andrei B. Bogatyrev, Oleg A. Grigoriev

In this note we present a universal formula in terms of theta functions for the Log- capacity of several segments on a line. The case of two segments was studied by N.I.Akhiezer (1…

math.CV2015★ 3 cited

How many Zolotarev fractions are there?

Andrei Bogatyrev

Known properties of Chebyshev polynomials are the following: they have simple critical points with only two (finite) critical values. Those properties uniquely determine the named…

math.CV2013★ 8 cited

Image of Abel-Jacobi map for hyperelliptic genus 3 and 4 curves

Andrei Bogatyrev

For the evaluation and inversion of abelian integrals we show that the image of the Abel-Jacobi map of genus less than 5 hyperelliptic curve in its Jacobian is the intersection of…

math.CV2007

Pictorial Representation for Antisymmetric Eigenfunctions of PS-3 Integral Equations

Andrei Bogatyrev

Eigenvalue problem for Poincare-Steklov-3 integral equation is reduced to the solution of three transcendential equations for three unknown numbers, moduli of pants. The complete l…

math.CV2006

Integral equations PS-3 and moduli of pants

Andrei Bogatyrev

More than a hundred years ago H.Poincare and V.A.Steklov considered a problem for the Laplace equation with spectral parameter in the boundary conditions. Today similar problems fo…