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Maxime Ingremeau
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Maitre de conférences (Assistant professor)
Contact
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Adress : Laboratoire J.A.Dieudonné UMR CNRS-UNS N°7351 Université de Nice Sophia-Antipolis Parc Valrose 06108 NICE Cedex 2 Office 713 (Third floor) |
Phone :
04 92 07 69 96 Fax : 04 93 51 79 74 Mail : maxime.ingremeau[at] unice [dot] fr |
Research
Research areas:
- Quantum chaos
- Semiclassical analysis
- Spectral theory
- Partial differential equations
- Quantum graphs
- Random waves
Teaching
Courses in English in 2019-2020 :- Spectral Theory and linear PDEs, a Master 2 Course during the 1rst trimester. Lecture notes, Exercices , Correction of the exercices, last year's exam, link to the videos of the courses.
Publications
- Distorted plane waves in chaotic scattering, Analysis and PDE, Vol. 10 (2017), No. 4, 765-816.
- Distorted plane waves on manifolds of nonpositive curvature, Communications in Mathematical Physics, Mars 2017, Volume 350, Issue 2, pp 845-891
- Sharp resolvent bounds and resonance-free regions, Communications in Partial Differential Equations, 2018, vol. 43, no 2, p. 286-291.
- Equidistribution of phase shifts in trapped scattering, Journal of Spectral Theory, Volume 8, Issue 4, 2018, pp. 1199–1220.
- The semi-classical scattering matrix from the point of view of Gaussian states, Methods and Applications of Analysis, Volume 25, 2018, Number 2, pp. 117-132.
- Equidistribution of phase shifts in obstacle scattering (joint work with Jesse Gell-Redman), Communications in Partial Differential Equations, 2019, vol. 44, no 1, p. 1-19.
- Lower bounds for the number of nodal domains for sums of two distorted plane waves in non-positive curvature, to appear in Asian Journal of Mathematics.
- A lower bound for the Bogomolny-Schmit constant for random monochromatic plane waves (joint work with Alejandro Rivera), Mathematical Research Letters, Volume 26 (2019), Number 4, pp 1179 – 1186
- Quantum ergodicity for large equilateral quantum graphs (joint work with Mostafa Sabri et Brian Winn), Journal of the London Mathematical Society, 2020, vol. 101, no 1, p. 82-109.
- Local Weak Limits of Laplace Eigenfunctions, to appear in Tunisian Journal of Mathematics.
- How Lagrangian states evolve into random waves , work in common with Alejandro Rivera .
- Semiclassical limits of distorted plane waves in chaotic scattering without a pressure condition, to appear in IMRN.
- Absolutely Continuous Spectrum for Quantum Trees (Work in common with Nalini Anantharaman, Mostafa Sabri et Brian Winn), to appear in Communications in Mathematical Physics.
Preprints
- Empirical spectral measures of quantum graphs in the Benjamini-Schramm limit (work in common with Nalini Anantharaman, Mostafa Sabri et Brian Winn).
- Scattering resonances of large weakly open quantum graphs .
- Quantum ergodicity for expanding quantum graphs in the regime of spectral delocalization (work in common with Nalini Anantharaman, Mostafa Sabri et Brian Winn).
Other documents
- A talk (in French) at the Bourbaki seminar, about Alexander Logunov's work on Yau's conjecture. The notes (also in French) can be found here.
- My PhD, in French.
- My Master's thesis, in French as well.
- A CV.