Milica Tomasevic

Chargée de Recherche CNRS
CMAP Ecole polytechnique
Equipe PEIPS

E-mail: milica'dot'tomasevic'at'polytechnique'dot'edu

How to pronounce my name? See here.

Short Bio

  1. 2021-... CNRS Researcher, CMAP Ecole polytechnique;
  2. 2022-... Part-time teacher, DMAP Ecole polytechnique;
  3. 2018-2021 Hadamard Lecturer (2y) and DIM MathInnov Postdoc (1y), CMAP Ecole polytechnique;
  4. 2015-2018 PhD student at TOSCA, Inria SAM: thesis; advisor D. Talay.

Research topics

  1. Interacting particle systems, singular and non-Markovian interaction;
  2. Non-linear SDEs in the sense of McKean-Vlasov;
  3. Fokker-Planck PDEs with singular interaction;
  4. Branching processes;
  5. Biological applications: collective cell motion, formation of biological networks, telomer shortening.

Preprints

  1. Curvature in chemotaxis: A model for ant trail pattern formation, with C. Bertucci and M. Rakotomalala.
    2. Preprint, 2024. HAL
  2. Long-time behaviour of a multidimensional age-dependent branching process with a singular jump kernel, with J. Olayé.
    3. Preprint, 2024. HAL
  3. Mean-field limit of particle systems with absorption, with G. Guo.
    4. Preprint, 2023. HAL
  4. Quantitative approximation of the Burgers and Keller-Segel equations by moderately interacting particles, with C. Olivera and A. Richard.
    5. Preprint, 2022. arXiv

Publications

  1. On a multi-dimensional McKean-Vlasov SDE with memorial and singular interaction associated to the parabolic-parabolic Keller-Segel model, with G. Woessner.
    2. Stochastic Analysis and Applications, 42(4), 767–796, 2024. DOI arXiv
  2. Propagation of chaos for stochastic particle systems with singular mean-field interaction of Lp - Lq type.
    3. Electron. Commun. Probab. 28 1 - 13, 2023. arXiv DOI
  3. Blow-up for a Stochastic Model of Chemotaxis Driven by Conservative Noise on R^2, with A. Mayorcas.
    4. J. Evol. Equ. 23, 57, 2023. DOI arXiv
  4. Particle approximation of the doubly parabolic Keller-Segel equation in the plane , with N. Fournier.
    5. J. Funct. Anal. Vol. 285, article 110064, 2023. DOI arXiv
  5. Quantitative particle approximation of nonlinear Fokker-Planck equations with singular kernel , with C. Olivera and A. Richard.
    6. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), Vol. XXIV: 691-749, 2023. DOI arXiv
  6. Reducing exit time of diffusions with repulsive interactions, with P.-E. Chaudru de Reynal, M. H. Duong, P. Monmarché and J. Tugaut.
    7. ESAIM: PS. 27:723-748, 2023. DOI arXiv
  7. Ergodic behaviour of a multi-type growth-fragmentation process modelling the mycelial network of a filamentous fungus, with V. Bansaye et A. Véber.
    8. ESAIM: PS, 26:397-435, 2022 . DOI
  8. A new McKean-Vlasov stochastic interpretation of the parabolic-parabolic Keller-Segel model : The two-dimensional case.
    9. Ann. Appl. Probab. 31(1):432-459, 2021). DOI arXiv
  9. A new McKean-Vlasov stochastic interpretation of the parabolic-parabolic Keller-Segel model : The one-dimensional case, with D. Talay.
    10. In , Bernoulli 26, no. 2:1323–1353, 2020. DOI arXiv
  10. Mean–field limit of a particle approximation of the one-dimensional parabolic–parabolic Keller- Segel model without smoothing, with J-F. Jabir et D. Talay.
    11. Elec. Communications Probab. 23, no. 84: 1–14, 2018. DOI arXiv

Member of Research grants

  1. International Emerging Actions CNRS project with Univerity of Bath, 2024-2025, coordinator: M.T. and A. Mayorcas.
  2. ANR-FAPESP project SDAIM, 2023-2027, coordinator: F. Russo
  3. SMAI-CIRM Research in residence, 2023, coordinator M.T.
  4. ANR NEMATIC: Analyse, Modelisation et Simulation Multi-échelle, coordinator E. Herbert (Univ de Paris Cité), 2021-2025.
  5. Projet SAKURA avec Univ. de Tohoku, Japon, with J. Tugaut et K. Fujie., 2021-2023.
  6. Projet PEPS JCJC intitulé “Blow-up dynamics and stochastic Keller–Segel models of chemotaxis”, coordiantor M.T. 2022.
  7. ANR JCJC METANOLIN: Metastabilité de processus non-linéaires , coordinator J. Tugaut, 2019-2023.
  8. Chaire MMB : Mathematical modelisation and biodiversity (Véolia Environnement, École Polytechnique and Muséum National d’Histoire Naturelle), coordinator S. Méléard.

Supervision

  1. Thesis of N. Cazacu, co-supervised with A. Richard, 2024-...
  2. Thesis of J. Olayé, co-supervised with M. Doumic, 2022-...
  3. Scientific co-referent of Hadamard Lecturer T. Cavalazzi , co-superviosn with A. Richard, 2023-...

Administration and animation

  1. Co-responsable of the thematic group MABIOME of SMAI, 2022-...
  2. Some seminars and conferences I co-organize(d):
    1. Seminar of Probability pole of CMAP (formerly PEIPS seminar as well, since 2021)
    2. Annual Research School of MMB Chaire in Aussois (since 2020).
    3. Research School Stochastic and Deterministic Analysis for Irregular Models CIRM Luminy, jan 2024
    4. Research School Collective behavior and Pattern formation CIRM Luminy, jul 2024
    5. Conference A Random Walk in the Land of Stochastic Analysis and Numerical Probability in honour of D. Talay, Luminy, sept 2023

Some recent Conferences

  1. Frontiers in Interacting Particle Systems, Aggregation-Diffusion Equations and Collective Behavior, CIRM july 2024
  2. PDE and Probability in interaction: functional inequalities, optimal transport and particle systems, CIRM janvier 2024
  3. Stochastic Flows, thematic program Order and Randomness in Partial Differential Equations, Institut Mittag-Leffler, nov 2023
  4. Second Berlin-Leipzig Workshop on Fluctuating Hydrodynamics, Freie University, Berlin September 19-20, 2023
  5. A random walk in the land of stochastic processes and numerical probability in honor of D. Talay, CIRM sept 2023 video
  6. Mean Field Models, Rennes, 12 juin - 16 juin 2023
  7. Franco-Japanese workshop on Chemotaxis modelsv- Macroscopic and Microscopic viewpoints, Tohoky University, Japon, 22 oct 2022
  8. Conference BSDE and Mean Field Systems, Annecy, 26 juin - 01 juill 2022
  9. Non-Local Models Arising from Biology Modèles, CIRM 11--15 oct 2021
  10. 10ième Biennale Française des Mathématiques Appliquées et Industrielles SMAI2021, 21 juin --25 juin 2021
  11. Bernoulli-IMS One World Symposium 2020, Session "Stochastic analysis", aout 2020
  12. Nonlinear Processes and their Applications, UJM St Etienne, 2--5 juillet 2019