Polterovich, Iosif
- Spectral geometry of the Steklov problem
2014/11/24 by Alexandre Girouard, Iosif Polterovich, Girouard, Alexandre +1 · 13 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces
2012/09/21 by Karpukhin, Mikhail, Kokarev, Gerasim, Polterovich, Iosif · 4 citations
#Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)
- An isoperimetric inequality for Laplace eigenvalues on the sphere
2017/06/18 by Karpukhin, Mikhail, Nadirashvili, Nikolai, Penskoi, Alexei V. +1 · 3 citations
#53C42 #58E11 #58J50 #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)
- Explicit constructions of universal R-trees and asymptotic geometry of hyperbolic spaces
1999/04/23 by Anna Dyubina, Dyubina, Anna, Iosif Polterovich +1 · 2 citations
Computer Science · Mathematics · #20F32 #53Cxx #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis #math.DG #math.GR #msc:20F32 #msc:53Cxx
- Conformally maximal metrics for Laplace eigenvalues on surfaces
2020/03/05 by Mikhail Karpukhin, Nikolaï Nadirashvili, Karpukhin, Mikhail +5 · 2 citations
Computer Science · Mathematics · #53C42 #58E11 #8J50 #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Spectral Theory (math.SP)
- The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander's rediscovered manuscript
2021/02/12 by Girouard, Alexandre, Karpukhin, Mikhail, Levitin, Michael +1 · 2 citations
#Differential Geometry (math.DG) #FOS: Mathematics #Primary 58J50. Secondary 35P20 #Spectral Theory (math.SP)
- Extremal metric for the first eigenvalue on a Klein bottle
2003/11/26 by Dmitry Jakobson, Jakobson, Dmitry, Nikolaï Nadirashvili +3 · 1 citation
Mathematics · Physics and Astronomy · #Spectral Theory in Mathematical Physics #Geometric Analysis and Curvature Flows #Quantum chaos and dynamical systems
- Estimates from below for the spectral function and for the remainder in local Weyl's law
2005/05/19 by Dmitry Jakobson, Iosif Polterovich, Jakobson, Dmitry +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #58J50 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- Heat invariants of the Steklov problem
2013/04/26 by Polterovich, Iosif, Sher, David A. · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)
- Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces
2021/06/29 by Karpukhin, Mikhail, Nahon, Mickaël, Polterovich, Iosif +1 · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)
- Uniform enclosures for the phase and zeros of Bessel functions and their derivatives
2024/02/10 by Filonov, Nikolay, Levitin, Michael, Polterovich, Iosif +1 · 1 citation
#33C10 (Primary) 33F05 #34B30 #65D20 (Secondary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Numerical Analysis (math.NA) #Spectral Theory (math.SP)
- Pólya's conjecture for Dirichlet eigenvalues of annuli
2025/05/27 by Filonov, Nikolay, Levitin, Michael, Polterovich, Iosif +1 · 2 citations
#11P21 #33C10 #35P15 (Primary) 35P20 #65G20 (Secondary) #FOS: Mathematics #Number Theory (math.NT) #Spectral Theory (math.SP)