Florent Dewez

Florent Dewez

Ph.D in Applied Mathematics

About

11
Publications
579
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18
Citations
Introduction
Florent Dewez currently works at DiagRAMS Technologies as a Senior Data Scientist. Florent is interested in the field of anomaly detection for industrial systems, machine learning and optimisation with real-world applications, in the field of dispersive equations to describe the propagation of quantum particles, in the field of numerical analysis with applications to acoustic problems and in the field of cryptography with a strong focus on the Hill cipher.
Additional affiliations
February 2021 - present
February 2019 - January 2021
National Institute for Research in Computer Science and Control
Position
  • PostDoc Position
September 2017 - January 2019
Université Grenoble Alpes
Position
  • PostDoc Position
Education
October 2013 - September 2016
Université de Lille
Field of study
  • Applied Mathematics

Publications

Publications (11)
Article
Full-text available
Many real-world problems require to optimize trajectories under constraints. Classical approaches are often based on optimal control methods but require an exact knowledge of the underlying dynamics and constraints, which could be challenging or even out of reach. In view of this, we leverage data-driven approaches to design a new end-to-end framew...
Article
Full-text available
Aircraft performance models play a key role in airline operations, especially in planning a fuel-efficient flight. In practice, manufacturers provide guidelines which are slightly modified throughout the aircraft life cycle via the tuning of a single factor, enabling better fuel predictions. However this has limitations, in particular they do not r...
Article
Full-text available
We consider solutions of dispersive equations on the line defined by Fourier multipliers with initial data having compactly supported Fourier transforms. In this paper, a refinement of an existing method permitting to expand time-asymptotically the solution formulas is proposed. Here the first term of the expansion is supported in a space-time cone...
Conference Paper
Full-text available
Developed by L. S. Hill in 1929, the Hill cipher is a polygraphic substitution cipher based on matrix multiplication. This cipher has been proved vulnerable to many attacks, especially the known-plaintext attack, while only few ciphertext-only attacks have been developed. The aim of our work is to study a new kind of ciphertext-only attack for the...
Preprint
Full-text available
In this paper, we consider the Schr\"odinger equation in one space-dimension with potential. We start by proving that this equation is well-posed in $H^1(\mathbb{R})$ if the potential belongs to $W^{1,\infty}(\mathbb{R})$, and we provide a representation of the solution as a series, called Dyson-Phillips series, by using semigroup theory. We focus...
Article
Full-text available
In this paper, we study time-asymptotic propagation phenomena for a class of dispersive equations on the line by exploiting precise estimates of oscillatory integrals. We propose first an extension of the van der Corput Lemma to the case of phases which may have a stationary point of real order and amplitudes allowed to have an integrable singular...
Article
Cet article présente en détails un atelier de popularisation des mathématiques que nous avons réalisé. Destiné à des élèves de lycée, l'atelier a pour objectif la modélisation mathématique du jeu Lights Out afin d'en déduire sa résolution. L'article commence naturellement par une description du jeu. Le déroulement de l’atelier est ensuite détaillé;...
Article
Full-text available
We consider a version of the stationary phase method in one dimension of A. Erdélyi, allowing the phase to have stationary points of non-integer order and the amplitude to have integrable singularities. After having completed the original proof and improved the error estimate in the case of regular amplitude, we consider a modification of the metho...
Preprint
Full-text available
In this paper, we furnish van der Corput types estimates for oscillatory integrals with respect to a large parameter, where the phase is allowed to have a stationary point of real order and the amplitude to have an integrable singularity. The resulting estimates show explicitly the influence of these two particular points on the decay. These result...
Preprint
Full-text available
We consider a version of the stationary phase method in one dimension of A. Erdélyi, allowing the phase to have stationary points of non-integer order and the amplitude to have integrable singularities. We provide a complete proof and we improve the remainder estimates in the case of regular amplitude. Then we are interested in the time-asymptotic...
Preprint
Full-text available
In this paper, we improve slightly Erdélyi's version of the stationary phase method by replacing the employed smooth cut-off function by a characteristic function, leading to more precise remainder estimates. We exploit this refinement to study the time-asymptotic behaviour of the solution of the free Schrödinger equation on the line, where the Fou...

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Projects (2)