Julie TOURNIAIRE
About me.
I am an Assistant Professor (Maîtresse de conférences) at the Université de Franche-Comté, where I am part of the Probability and Statistics group – Laboratoire de Mathématiques de Besançon. I am also a member of the Stochastic Modelling in Ecology & Evolution group.
Before that, I was a Postdoctoral Researcher at the University of Vienna, under the FWF Project Waves in Population Genetics led by Emmanuel Schertzer. I also spent two years as a Marie Skłodowska-Curie fellow, at ISTA in the Evolutionary genetics group (Barton group).
I completed my Ph.D. at the École Polytechnique, CMAP, under the supervision of Pascal Maillard and Gaël Raoul. The manuscript of my thesis, entitled Spatial dynamic of interfaces in ecology: deterministic and stochastic models can be found here.
My research is in probability theory, focusing on microscopic models for front propagation (in particular branching systems) and their applications to ecology and population genetics. More generally, I am interested in the impact of structure on the genetic diversity of populations.
Contact.
Laboratoire de Mathématiques, Université de Franche-Comté
16 route de Gray, 25030 Besançon CEDEX
Email: julie.tourniaire 'at' univ-fcomte.fr
Publications.
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Spectral analysis and \(k\)-spine decomposition of inhomogeneous branching Brownian motions.
Genealogies in fully pushed fronts
with E. Schertzer
42 pages, The Annals of Probability 53(4), pp 1382–1433, 2025
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A branching particle system as a model of semipushed fronts
69 pages, The Annals of Probability 52(6), pp 2106–2172, 2024
Preprints.
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Stochastic neutral fractions and the effective population size
with R. Forien, E. Schertzer and Z. Talyigas.
2025, 24 pages, preprint – arXiv version
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Genealogies under purifying selection
with F. Boenkost and K. A. Khudiakova
2024, 21 pages, preprint – bioRxiv version
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Reduction of the effective population size in a branching particle system in the moderate mutation-selection regime
with F. Boenkost and K. A. Khudiakova
2024, 38 pages, preprint – arXiv version
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Convergence of spatial branching processes to \(\alpha\)-stable CSBPs: Genealogy of semipushed fronts
with F. Foutel-Rodier and E. Schertzer
2024, 64 pages, preprint – arXiv version
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Spreading speed of locally regulated population models in macroscopically heterogeneous environments
with P. Maillard and G. Raoul.
2021, 41 pages, preprint – arXiv version
Short CV.
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Postdoctoral researcher at UniWien
FWF project Waves in Population Genetics (Austrian Science Fund)
Principal Investigator Emmanuel Schertzer.
March 2024 – September 2024
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Postdoctoral researcher at IST Austria
Marie Skłodowska-Curie fellow, IST Bridge Program, ISTA
Evolutionary genetics group (Barton group)
March 2022 – March 2024
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Ph.D in mathematics, École Polytechnique
Centre de Mathématiques Appliquées
Spatial dynamic of interfaces in ecology: deterministic and stochastic models
Under the supervision of P. Maillard and G. Raoul.
September 2018 – September 2021
Talks.
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Dynamics of interacting populations and beyond. Travemünde, Sept. 2025 – slides
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Workshop Extremal Statistics in Biology – Erwin Schrödinger International Institute. Vienna, Jun. 2025
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Conférence annuelle du GDR branchement. Orsay, Jan. 2025 – slides
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Sixième journée de la Fédération Bourgogne Franche-Comté Mathématiques. Besançon, Nov. 2024
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Evolution in structured populations: recent progress and new challenges. Oxford, Mar. 2024 – slides
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Workshop: Ancestral lines for (multitype) genetic models. Bielefeld, Sep. 2023
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43rd Conference on Stochastic Processes and their Applications. Lisbon, Jul. 2023
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21st Informs Applied Probability Society Conference. Nancy, Jun. 2023
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Workshop: Spatial models in population genetics. Vienna, Nov. 2022
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Junior female researchers in probability. Berlin, Oct. 2022
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Austrian stochastic days. Vienna, Sep. 2022
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Bath-Beijing-Paris branching stuctures meeting. online, Sep. 2021
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Modern stochastics: theory and applications. online, Jun. 2021
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Workshop: ANR Integro-Differential Equations from Evolutionary biology. online, Mar. 2021
Seminars.
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Probability seminar, Université Louis et Marie Pasteur. Sept. 2025
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Probability seminar, I2M Marseille. Jun. 2025
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Probability seminar, IRMA Strasbourg. May. 2025
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Probability seminar, ENS Lyon. May. 2025 – notes
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Biomath seminar, Université de Franche-Comté. May. 2025
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Probability seminar, Université Grenoble Alpes. Dec. 2024
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Probability seminar, Université de Franche-Comté. Jan. 2024
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Probability seminar, Université d'Angers. Nov. 2023
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Probability seminar, University of Oxford. Nov. 2023
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BioMath seminar, University of Vienna. Nov. 2022
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BioMath seminar, University of Vienna. Apr. 2022
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Vienna Probability seminar, TU Wien. Apr. 2022
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Probability seminar, Institut Mathématique de Toulouse. Mar. 2021
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Journée de rentrée du CMAP, École Polytechnique. Oct. 2020