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Alexandre Girouard

Observed names: A. Girouard, Girouard, A, Girouard, Alexandre, Girouard, Alexandre 1976-
Observed institutions: King's College London, Laboratoire de Mathématiques Blaise Pascal, Université Laval, University of Neuchâtel, Université de Montréal, Cardiff University
ORCID: 0000-0001-8823-831X
Observed ORCID: 0000-0001-8823-831X
OpenAlex ID: A5066917206
Spectral geometry of the Steklov problem (Survey article)
2017 · Alexandre Girouard, Iosif Polterovich · Journal of Spectral Theory · 215
Spectral geometry of the Steklov problem
2014 · Girouard, Alexandre, Polterovich, Iosif · arXiv (Cornell University) · 94
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Isoperimetric control of the Steklov spectrum
2011 · Bruno Colbois, Ahmad El Soufi, et al. · Journal of Functional Analysis · 88
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Maximization of the second positive Neumann eigenvalue for planar domains
2009 · Alexandre Girouard, Nikolai Nadirashvili, et al. · Journal of Differential Geometry · 63
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Some recent developments on the Steklov eigenvalue problem
2023 · Bruno Colbois, Alexandre Girouard, et al. · Revista Matemática Complutense · 58
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Shape optimization for low Neumann and Steklov eigenvalues
2009 · Alexandre Girouard, Iosif Polterovich · Mathematical Methods in the Applied Sciences · 50
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On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues
2010 · A. Girouard, I. Polterovich · Functional Analysis and Its Applications · 42
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Upper bounds for Steklov eigenvalues on surfaces
2012 · Alexandre Girouard, Iosif Polterovich · Electronic Research Announcements of the American Mathematical Society · 37
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The Steklov Spectrum of Surfaces: Asymptotics and Invariants
2014 · Alexandre Girouard, Leonid Parnovski, et al. · 32
The Steklov spectrum and coarse discretizations of manifolds with boundary
2018 · Bruno Colbois, Alexandre Girouard, et al. · Pure and Applied Mathematics Quarterly · 30
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Steklov Eigenvalues of Submanifolds with Prescribed Boundary in Euclidean Space
2018 · Bruno Colbois, Alexandre Girouard, et al. · Journal of Geometric Analysis · 29
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The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript
2022 · Alexandre Girouard, Mikhail Karpukhin, et al. · Journal of Spectral Theory · 25
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Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems
2021 · Alexandre Girouard, Mikhail Karpukhin, et al. · Geometric and Functional Analysis · 24
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Isoperimetric control of the spectrum of a compact hypersurface
2013 · Bruno Colbois, Ahmad El Soufi, et al. · 19
Large Steklov eigenvalues via homogenisation on manifolds
2021 · Alexandre Girouard, Jean Lagacé · Inventiones mathematicae · 16
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Robin spectrum: two disks maximize the third eigenvalue
2021 · Alexandre Girouard, R.S. Laugesen · Indiana University Mathematics Journal · 16
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Compact manifolds with fixed boundary and large Steklov eigenvalues
2019 · Bruno Colbois, Ahmad El Soufi, et al. · Proceedings of the American Mathematical Society · 15
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Large spectral gaps for Steklov eigenvalues under volume constraints and under localized conformal deformations
2018 · Donato Cianci, Alexandre Girouard · Annals of Global Analysis and Geometry · 15
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Steklov Eigenvalues and Quasiconformal Maps of Simply Connected Planar Domains
2015 · A. Girouard, R. S. Laugesen, et al. · Archive for Rational Mechanics and Analysis · 15
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From Steklov to Neumann via homogenisation
2020 · Alexandre Girouard, Antoine Henrot, et al. · Archive for Rational Mechanics and Analysis · 12
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Geometric and Computational Spectral Theory
2017 · Girouard, Alexandre, Jakobson, Dmitry, et al. · Contemporary mathematics - American Mathematical Society · 12
Spectral Theory and Applications
2018 · Girouard, Alexandre · Contemporary mathematics - American Mathematical Society · 11
Fundamental Tone, Concentration of Density, and Conformal Degeneration on Surfaces
2009 · Alexandre Girouard · Canadian Journal of Mathematics · 11
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The Steklov Spectrum of Cuboids
2018 · Alexandre Girouard, Jean Lagacé, et al. · Mathematika · 10
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The spectral gap of graphs and Steklov eigenvalues on surfaces
2014 · Alexandre Girouard, Bruno Colbois · Electronic Research Announcements of the American Mathematical Society · 8
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Works count: 58
Citation count: 987
H-index: 16
I10-index: 24
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