Articles en préparation
1. A. Girouard et I. Polterovich,
The geometry of Steklov eigenvalues.
2. A. Girouard, I. Polterovich, D. Sher,
An inverse problem for the Steklov spectrum of surfaces.
3. B. Colbois et A. Girouard,
The spectral gap of graphs and Steklov eigenvalues on surfaces
Articles parus ou à paraître
1. B. Colbois, A. Girouard, M. Iversen,
Uniform stability of the Dirichlet spectrum for rough outer perturbations.
Journal of Spectral Theory, à paraître.
2. B. Colbois, A. El Soufi, A. Girouard,
Isoperimetric control of the spectrum of a compact hypersurface,
Journal für die reine und angewandte Mathematik, Vol. 2013, Issue 683, 2013, 49-65.
3. A. Girouard et I. Polterovich,
Upper bounds for Steklov eigenvalues on surfaces,
Electronic Research Announcements in Mathematical Sciences, Vol. 19, 2012, 77–85.
4. B. Colbois, A. El Soufi, A. Girouard,
Isoperimetric control of the Steklov spectrum,
Journal of Functional Analysis, Vol. 261, No. 5, 2011, 1384-1399.
5. A. Girouard et I. Polterovich,
On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues,
Functional Analysis and its Applications, Vol. 44, No. 2, 2010, 106-117.
6. A. Girouard et I. Polterovich,
Shape optimization for low Neumann and Steklov eigenvalues,
Mathematical Methods in the Applied Sciences, Vol. 33, No. 4, 2010, 501-516.
7. A. Girouard, N. Nadirashvili, I. Polterovich,
Maximization of the second positive Neumann eigenvalue for planar domains,
Journal of Differential Geometry, Vol. 83, No. 3, 2009, 637-662.
8. A. Girouard,
Fundamental tone, concentration of density to points and conformal degeneration on surfaces,
Journal Canadien de Mathématiques, Vol. 61, No. 3, 2009, 548-565.
9. A. Girouard,
Relative homological linking,
Topological Methods in Nonlinear Analysis, Vol. 30, No. 2, 2007, 211-221.
Autres publications
1. A. Girouard,Isoperimetric control of the Steklov spectrum,Oberwolfach Report 33, 2012, 26-28.
2. L. Delisle, A. Girouard, Y. Saint-Aubin,Mathématiques assistées par ordinateur,Université de Montréal, 120 pages.
