Publications (36)
Topological lower bounds for arithmetic networks
Andrei Gabrielov, Nicolai Vorobjov
Circular pentagons and real solutions of Painleve VI equations
Alexandre Eremenko, Andrei Gabrielov
Some lower bounds in the B. and M. Shapiro conjecture for flag varieties
Monique Azar, Andrei Gabrielov
Zeros of eigenfunctions of some anharmonic oscillators
Alexandre Eremenko, Andrei Gabrielov, Boris Shapiro
Multiplicity of a zero of an analytic function on a trajectory of a vector field
Andrei Gabrielov
Spherical rectangles
Alexandre Eremenko, Andrei Gabrielov
Toric cubes are closed balls
Saugata Basu, Andrei Gabrielov, Nicolai Vorobjov
Singular perturbation of polynomial potentials in the complex domain with applications to PT-symmetric families
Alexandre Eremenko, Andrei Gabrielov
Quasi-exactly solvable quartic: elementary integrals and asymptotics
Alexandre Eremenko, Andrei Gabrielov
A Helly-type theorem for semi-monotone sets and monotone maps
Saugata Basu, Andrei Gabrielov, Nicolai Vorobjov
Elementary proof of the B. and M. Shapiro conjecture for rational functions
Alexandre Eremenko, Andrei Gabrielov
High energy eigenfunctions of one-dimensional Schrodinger operators with polynomial potentials
Alexandre Eremenko, Andrei Gabrielov, Boris Shapiro
Analytic continuation of eigenvalues of a quartic oscillator
Alexandre Eremenko, Andrei Gabrielov
Predictability of extreme events in a branching diffusion model
Andrei Gabrielov, Vladimir Keilis-Borok, Sayaka Olsen +1
Mystery of point charges
Andrei Gabrielov, Dmitry Novikov, Boris Shapiro
Spherical quadrilaterals with three non-integer angles
Alexandre Eremenko, Andrei Gabrielov, Vitaly Tarasov
On eigenvalues of the Schrödinger operator with a complex-valued polynomial potential
Per alexandersson, Andrei Gabrielov
Semi-monotone sets
Saugata Basu, Andrei Gabrielov, Nicolai Vorobjov
Predictability of extreme events in a branching diffusion model
Andrei Gabrielov, Vladimir Keilis-Borok, Ilya Zaliapin
On topological lower bounds for algebraic computation trees
Nicolai Vorobjov, Andrei Gabrielov
Metrics with conic singularities and spherical polygons
Alexandre Eremenko, Andrei Gabrielov, Vitaly Tarasov
Monotone functions and maps
Saugata Basu, Andrei Gabrielov, Nicolai Vorobjov
Inverse Cascade in Percolation Model: Hierarchical Description of Time-dependent Scaling
Andrei Gabrielov, Henry Hang Lam Wong, Ilya Zaliapin
Irreducibility of some spectral determinants
Alexandre Eremenko, Andrei Gabrielov
Quasi-exactly solvable quartic: real algebraic spectral locus
Alexandre Eremenko, Andrei Gabrielov
Approximation of definable sets by compact families, and upper bounds on homotopy and homology
Andrei Gabrielov, Nicolai Vorobjov
Ambient Lipschitz equivalence of real surface singularities
Lev Birbrair, Andrei Gabrielov
Exceptional solutions to the Painlevé VI equation
Alexandre Eremenko, Andrei Gabrielov, Aimo Hinkkanen
Two-parametric PT-symmetric quartic family
Alexandre Eremenko, Andrei Gabrielov
Metrics with four conic singularities and spherical quadrilaterals
Alexandre Eremenko, Andrei Gabrielov, Vitaly Tarasov
On metrics of curvature 1 with four conic singularities on tori and on the sphere
Alexandre Eremenko, Andrei Gabrielov
Aftershock identification
Ilya Zaliapin, Andrei Gabrielov, Vladimir Keilis-Borok +1
Triangulations of monotone families I: Two-dimensional families
Saugata Basu, Andrei Gabrielov, Nicolai Vorobjov
Tangencies between holomorphic maps and holomorphic laminations
Alexandre Eremenko, Andrei Gabrielov
Spectral loci of Sturm--Liouville operators with polynomial potentials
Alexandre Eremenko, Andrei Gabrielov
Lipschitz contact equivalence of function germs in $\mathbb{R}^2$
Lev Birbrair, Alexandre Fernandes, Andrei Gabrielov +1