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Isospectrality, comparison formulas for determinants of Laplacian and flat metrics with non-trivial holonomy

Proceedings of the American Mathematical Society, 2017-09, Vol.145 (9), p.3915-3928

2017

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Moduli spaces of meromorphic functions and determinant of the Laplacian

Transactions of the American Mathematical Society, 2018-07, Vol.370 (7), p.4559-4599

2018

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Hyperbolic triangles without embedded eigenvalues

Annals of mathematics, 2018-03, Vol.187 (2), p.301-377

2018

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On resonances generated by conic diffraction

Annales de l'Institut Fourier, 2020-01, Vol.70 (4), p.1715-1752

2020

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Generic spectral simplicity of polygons

Proceedings of the American Mathematical Society, 2009-06, Vol.137 (6), p.2139-2145

2009

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Ergodic billiards that are not quantum unique ergodic

Annals of mathematics, 2010-01, Vol.171 (1), p.605-618

2010

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Lattice walks confined to an octant in dimension 3: (non-)rationality of the second critical exponent

Annales de l'Institut Henri Poincaré. D. Combinatorics, physics and their interactions, 2024-02, Vol.11 (4), p.683-713

2024

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Spectral Determinants on Mandelstam Diagrams

Communications in mathematical physics, 2016-04, Vol.343 (2), p.563-600

2016

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Eigenvalue spacing for 1D singular Schrödinger operators

Asymptotic analysis, 2023-05, Vol.133 (1-2), p.267-289

2023

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Krein Formula and S-Matrix for Euclidean Surfaces with Conical Singularities

The Journal of geometric analysis, 2013-07, Vol.23 (3), p.1498-1529

2013

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Spectral asymptotics for sub-Riemannian Laplacians, I: Quantum ergodicity and quantum limits in the 3-dimensional contact case

Duke mathematical journal, 2018-01, Vol.167 (1)

2018

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Geometric Spectral Theory

Oberwolfach reports, 2024-04, Vol.20 (3), p.2017-2106

2024

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Spectral Simplicity and Asymptotic Separation of Variables

Communications in mathematical physics, 2011, Vol.302 (2), p.291-344

2011

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Wave propagation on Euclidean surfaces with conical singularities. I: Geometric diffraction

Journal of spectral theory, 2018-01, Vol.8 (2), p.605-667

2018

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Erratum to: Spectral Simplicity and Asymptotic Separation of Variables

Communications in mathematical physics, 2012-05, Vol.311 (3), p.839-842

2012

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Spectral stability under removal of small capacity sets and applications to Aharonov–Bohm operators

Journal of spectral theory, 2019-01, Vol.9 (2), p.379-427

2019

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THE EIGENVALUES OF THE LAPLACIAN ON DOMAINS WITH SMALL SLITS

Transactions of the American Mathematical Society, 2010-12, Vol.362 (12), p.6231-6259

2010

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Spectral asymptotics for sub-Riemannian Laplacians. I: Quantum ergodicity and quantum limits in the 3D contact case

Duke mathematical journal, 2018, Vol.167 (1), p.109-174

2018

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Spectral decomposition of square-tiled surfaces

Mathematische Zeitschrift, 2008-10, Vol.260 (2), p.393-408

Hillairet, Luc

2008

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Wave propagation on Euclidean surfaces surfaces with conical singularities. I: Geometric diffraction

Journal of spectral theory, 2018, Vol.8 (2), p.605-667

2018

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Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results

Annales Henri Lebesgue, 2021-08, Vol.4, p.897-971

2021

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Contribution of periodic diffractive geodesics

Journal of functional analysis, 2005-09, Vol.226 (1), p.48-89

Hillairet, Luc

2005

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Clustering of eigenvalues on translation surfaces

Annales Henri Poincaré, 2006-06, Vol.7 (4), p.689-710

HILLAIRET, Luc

2006

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Mean exit time for surface-mediated diffusion: spectral analysis and asymptotic behavior

Analysis and mathematical physics, 2015-12, Vol.5 (4), p.321-362

2015

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Determinants of pseudo-Laplacians

Mathematical research letters, 2012, Vol.19 (6), p.1297-1308

2012

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Isospectrality, comparison formulas for determinants of Laplacian and flat metrics with non-trivial holonomy

Moduli spaces of meromorphic functions and determinant of the Laplacian

Hyperbolic triangles without embedded eigenvalues

On resonances generated by conic diffraction

Generic spectral simplicity of polygons

Ergodic billiards that are not quantum unique ergodic

Lattice walks confined to an octant in dimension 3: (non-)rationality of the second critical exponent

Spectral Determinants on Mandelstam Diagrams

Eigenvalue spacing for 1D singular Schrödinger operators

Krein Formula and S-Matrix for Euclidean Surfaces with Conical Singularities

Spectral asymptotics for sub-Riemannian Laplacians, I: Quantum ergodicity and quantum limits in the 3-dimensional contact case

Geometric Spectral Theory

Spectral Simplicity and Asymptotic Separation of Variables

Wave propagation on Euclidean surfaces with conical singularities. I: Geometric diffraction

Erratum to: Spectral Simplicity and Asymptotic Separation of Variables

Spectral stability under removal of small capacity sets and applications to Aharonov–Bohm operators

THE EIGENVALUES OF THE LAPLACIAN ON DOMAINS WITH SMALL SLITS

Spectral asymptotics for sub-Riemannian Laplacians. I: Quantum ergodicity and quantum limits in the 3D contact case

Spectral decomposition of square-tiled surfaces

Wave propagation on Euclidean surfaces surfaces with conical singularities. I: Geometric diffraction

Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results

Contribution of periodic diffractive geodesics

Clustering of eigenvalues on translation surfaces

Mean exit time for surface-mediated diffusion: spectral analysis and asymptotic behavior

Determinants of pseudo-Laplacians

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