Main research topics

  • Point processes / Hawkes processes: links with partial differential equations.
  • Age structured models (point processes, PDE).
  • Mean field limits: propagation of chaos, fluctuations, spatial dependence.
  • Independence tests.

PhD thesis

Modelling large neural networks
via Hawkes processes
logo_these

Curiculum vitae

Français logo_PDFEnglish logo_PDF

Contact

Email: julien.chevallier1[at]univ-grenoble-alpes.fr
Phone: +33 (0)4 57 42 18 04

Address

Office 136
LJK (UMR CNRS 5224)
Université Grenoble Alpes
Bâtiment IMAG
700 Avenue Centrale
38401 Saint-Martin-d'Hères
FRANCE

Julien Chevallier

Links

Research

Area of research

  • Temporal point processes : Hawkes processes, Poisson processes.
  • Interacting particle systems : propagation of chaos, law of large numbers, central limite theorem.
  • Transport equations : age structured equations, measure valued solutions.
  • Mean field systems.
  • Tests : independence test, multiple testing.
  • Modelling : Large neural networks, oscillating systems.
  • Data analysis : Detection of synchronous activity, coïncidence pattern, Unitary Events method.

Publications --   CV HAL logo_HAL  

Preprints/Thesis

Popularization articles

Short talks (incomplete list)

Teaching

2017 - 2018

  • First half: tutorial classes of Statistics and practical work with R software.
  • Second half: tutorial classes on stochastic processes.

2016 - 2017

  • Second half: tutorial classes of Advanced Probabilities (stochastic processes/calculus).

2015 - 2016

  • First half: practical work with R software for data analysis.
  • Second half: tutorial classes of Statistics.

2014 - 2015

  • First half: oral exams of Analysis.
  • Second half: tutorial classes of Statistics.

2013 - 2014

Curiculum vitae

PDF version : Français logo_PDF / English logo_PDF

Academic experience

• Since 2017 Assistant professor of Université Grenoble Alpes (UFR IM2AG) in Jean Kuntzmann laboratory (LJK).
• 2016 to 2017 Postdoc in the laboratory Analyse-Géométrie-Modélisation (AGM) of Cergy-Pontoise university (UCP).
Supervisor : Eva Löcherbach.
Supported by labex MME-DII.
• 2013 to 2016 PhD thesis in the laboratory J.A. Dieudonné (LJAD) of Nice Sophia Antipolis university (UNS)
Title : Modelling large neural networks via Hawkes processes.
Supervisors : Patricia Reynaud-Bouret and François Delarue. Defense: September 9th 2016.
• 2012 to 2013 Postgraduated degree in Mathematics in ENS de Lyon. Speciality : Probabilities.

Teachings

• 2017/18 Tutorial classes of Statistics for biologist students and stochastic processes for mathematics students.
• 2017 Tutorial classes of Advanced Probabilities for postgraduated students.
• 2013 to 2016 Teaching assistant (64 heures per year) in Nice Sophia Antipolis university.
Probabilities and Statistics for second year students / Tutorial classes on computer for third year students (introduction to the software R for data analysis).

Involvement in the scientific life

• Since 2016 Refereeing research articles :
  • Annals of Applied Probability, 1 review.
  • Stochastic Processes and their Applications, 1 review.
  • Journal of Theoretical Probability, 1 review.
• 2013 to 2016 Organisation of the seminar between the PhD students in Probability and Statistics of the LJAD.
• 2015 to 2016 Elected member of the Research committee (UNS).

Photos

Here are showed some pictures I have taken during several personal and professional trips (conferences, workshops,...) I made since the beginning of my PhD.
Mouse over for informations and click to obtain a larger format.

Cargèse

Cargèse, France

Download

Copenhague

Copenhaguen, Danemark

Download

Entrevaux

Entrevaux, France

Download


 
Entrevaux

Entrevaux, France

Download

Entrevaux

Entrevaux, France

Download

Lacs Bessons

Lakes Bessons, France

Download


 
Florence

Florence, Italy

Download

Fiesole

Fiesole, Italy

Download

San Gimignano

San Gimignano, Italy

Download


 
Mont-Saint-Michel

Mont-Saint-Michel, France

Download

Dent du chat

Chambéry, France

Download

Braux

Braux, France

Download


 
Amsterdam

Amsterdam, Holland

Download

Amsterdam

Amsterdam, Holland

Download

Amsterdam

Amsterdam, Holland

Download


 
Coulomp

Source of the Coulomp, France

Download

Saint-Martin du Var

Saint-Martin du Var, France

Download

Saint-Martin du Var

Saint-Martin du Var, France

Download


 
Les Diablerets

Les Diablerets, Switzerland

Download

Les Diablerets

Les Diablerets, Switzerland

Download

Les Diablerets

Les Diablerets, Switzerland

Download


 
Les Diablerets

Les Diablerets, Switzerland

Download

Les Diablerets

Les Diablerets, Switzerland

Download

Nice

Nice, France

Download


 
Nice

Nice, France

Download

Turin

Turin, Italy

Download

Grenoble

Grenoble, France

Download


 
Avignon

Avignon, France

Download

Avignon

Avignon, France

Download

Avignon

Avignon, France

Download


 
Crozet

Lake of the Crozet, France

Download

Crozet

Lake of the Crozet, France

Download

Crozet

Lake of the Crozet, France

Download


 
La Clusaz

La Clusaz, France

Download

La Clusaz

La Clusaz, France

Download

Grenoble

Grenoble, France

Download


 
Paris

Paris, France

Download

Paris

Paris, France

Download

Paris

Paris, France

Download


 
Biarritz

Biarritz, France

Download

Biarritz

Biarritz, France

Download

Biarritz

Biarritz, France

Download


 
San Sebastian

San Sebastian, Spain

Download

San Sebastian

San Sebastian, Spain

Download

San Sebastian

San Sebastian, Spain

Download


 
San Sebastian

San Sebastian, Spain

Download

San Sebastian

San Sebastian, Spain

Download

San Sebastian

San Sebastian, Spain

Download


 
Pontoise

Pontoise, France

Download

Pontoise

Pontoise, France

Download

Pontoise

Pontoise, France

Download


 
Paris

Paris, France

Download

Luceram

Luceram, France

Download

Luceram

Luceram, France

Download


 
Pic du Midi

Pic du Midi, France

Download

La Mongie

La Mongie, France

Download

La Mongie

La Mongie, France

Download


 
Paris

Paris, France

Download

Paris

Paris, France

Download

Paris

Paris, France

Download


 
Mont Saint-Michel

Mont Saint-Michel, France

Download

Cancale

Cancale, France

Download

Saint-Malo

Saint-Malo, France

Download


 
Calanques

Luminy, France

Download

Luminy

Luminy, France

Download

Luminy

Luminy, France

Download


 
Pau

Pau, France

Download

Pau

Pau, France

Download

Pau

Pau, France

Download