Hillairet, Luc
- Wave propagation on Euclidean surfaces with conical singularities. I: Geometric diffraction
2015/05/05 by G. Austin Ford, Andrew Hassell, Ford, G. Austin +3 · 2 citations
Engineering · Physics and Astronomy · #35L05 #35S30 #58J50 #Analysis of PDEs (math.AP) #Elasticity and Wave Propagation #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics
- The eigenvalues of the Laplacian on domains with small slits
2008/02/19 by Hillairet, Luc, Judge, Chris · 1 citation
#35P99 #58J37 #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP)
- Eigenfunction concentration for polygonal billiards
2008/05/26 by Hassell, Andrew, Hillairet, Luc, Marzuola, Jeremy · 1 citation
#35Q40 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Ergodic billiards that are not quantum unique ergodic
2008/07/04 by Hassell, Andrew, Hillairet, Luc · 1 citation
#35P20 #58J50 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
- Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results
2020/04/14 by de Verdière, Yves Colin, Hillairet, Luc, Trélat, Emmanuel · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Nonconcentration in partially rectangular billiards
2010/11/25 by Hillairet, Luc, Marzuola, Jeremy L. · 2 citations
#35Q40 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Spectral asymptotics for sub-Riemannian Laplacians
2022/12/06 by Yves Colin de Verdìère, de Verdìère, Yves Colin, Luc Hillairet +3 · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Nonlinear Partial Differential Equations #Spectral Theory (math.SP)
- Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators
2016/11/21 by Abatangelo, Laura, Felli, Veronica, Hillairet, Luc +1 · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- On resonances generated by conic diffraction
2017/06/23 by Hillairet, Luc, Wunsch, Jared · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)