Publications

Preprints

• M. Coti-Zelati, H. Dietert, D. Gérard-Varet, Nonlinear stability for active suspensions, arXiv
• F. Anceschi, H. Dietert, J. Guerand, A. Loher, C. Mouhot, A. Rebucci, Poincaré inequality and quantitative De Giorgi method for hypoelliptic operators, arXiv
• H. Dietert, L2-Hypocoercivity for non-equilibrium kinetic equations, arXiv
• H. Dietert, F. Hérau, H. Hutridurga, and C. Mouhot, Quantitative Geometric Control in Linear Kinetic Theory, arXiv
• H. Dietert and J. Hirsch Regularity for rough hypoelliptic equations, arXiv
• H. Dietert, Stability of partially locked states in the Kuramoto model through Landau damping with Sobolev regularity. arXiv

Published

• H. Dietert, A. Moussa, Persisting entropy structure for nonlocal cross-diffusion systems, Ann. Fac. Sci. Toulouse, Math. (6) 33, No. 1, 69-104, 2024. DOI HAL arXiv
• C. Collot, H. Dietert, and P. Germain, Stability and cascades for the Kolmogorov-Zakharov spectrum of wave turbulence, Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 7, 31 p., 2024. DOI arXiv
• M. Coti-Zelati, H. Dietert, D. Gérard-Varet, Orientation mixing in active suspensions, Ann. PDE 9, No. 2, Paper No. 20, 53 p., 2023. DOI HAL arXiv
• H. Dietert; F. Hérau; H. Hutridurga and C. Mouhot, Trajectorial hypocoercivity and application to control theory, Sémin. Laurent Schwartz, EDP Appl., Talk no. 8, 2022. DOI HAL arXiv
• H. Dietert and D. Gérard-Varet, On the ill-posedness of the triple deck model, SIAM J. Math. Anal. 54, No. 2, 2611-2633, 2022. DOI HAL arXiv
• H. Dietert and J. Evans, Finding the jump rate for fastest decay in the Goldstein-Taylor model, J. Stat. Phys. 188, No. 1, 2022. DOI HAL arXiv
• E. Brocchieri, L. Corrias, H. Dietert and Yong-Jung Kim, Evolution of dietary diversity and a starvation driven cross-diffusion system as its singular limit, Journal of Mathematical Biology, vol. 83, 2021. DOI HAL arXiv
• H. Dietert and R. Shvydkoy, On Cucker-Smale dynamical systems with degenerate communication, Analysis and Applications (Singapore), vol. 19, no. 4, pp. 551-573, 2021. DOI arXiv
• F. Coppini, H. Dietert, and G. Giacomin, A law of large numbers and large deviations for interacting diffusions on Erdős–Rényi graphs, Stochastics and Dynamics, vol. 20, no. 2, id. 2050010, 2020. DOI arXiv
• H. Dietert and D. Gérard-Varet, Well-Posedness of the Prandtl Equations Without Any Structural Assumption, Annals of PDE, vol. 5, no. 1, Mar. 2019. DOI arXiv
• E. S. Daus, L. Desvillettes, and H. Dietert, About the entropic structure of detailed balanced multi-species cross-diffusion equations, Journal of Differential Equations, vol. 266, no. 7, pp. 3861–3882, Mar. 2019. DOI arXiv
• H. Dietert and B. Fernandez, The mathematics of asymptotic stability in the Kuramoto model, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 474, no. 2220, p. 20180467, Dec. 2018. DOI arXiv
• H. Dietert, B. Fernandez, and D. Gérard-Varet, Landau Damping to Partially Locked States in the Kuramoto Model, Communications on Pure and Applied Mathematics, vol. 71, no. 5, pp. 953–993, Jan. 2018. DOI arXiv
• A.-L. Dalibard, H. Dietert, D. Gérard-Varet, and F. Marbach, High Frequency Analysis of the Unsteady Interactive Boundary Layer Model, SIAM Journal on Mathematical Analysis, vol. 50, no. 4, pp. 4203–4245, Jan. 2018. DOI arXiv
• H. Dietert, J. Evans, and T. Holding, Contraction in the Wasserstein metric for the kinetic Fokker-Planck equation on the torus, Kinetic & Related Models, vol. 11, no. 6, pp. 1427–1441, 2018. DOI arXiv
• A. B. Kashlak, E. Devane, H. Dietert, and H. Jackson, Markov models for ocular fixation locations in the presence and absence of colour, Journal of the Royal Statistical Society: Series C (Applied Statistics), vol. 67, no. 1, pp. 201–215, Mar. 2017. DOI arXiv
• H. Dietert, J. Keller, and S. Troppmann, An invariant class of wave packets for the Wigner transform, Journal of Mathematical Analysis and Applications, vol. 450, no. 2, pp. 1317–1332, Jun. 2017. DOI arXiv MR
• H. Dietert, Stability and bifurcation for the Kuramoto model, Journal de Mathématiques Pures et Appliquées, vol. 105, no. 4, pp. 451–489, Apr. 2016. DOI arXiv MR
• H. Dietert, Characterisation of gradient flows on finite state Markov chains, Electronic Communications in Probability, vol. 20, no. 0, 2015. DOI arXiv MR
• A. Alexandrov, H. Dietert, G. Nikolov, and V. Pillwein, Proof of a conjecture of M. Patrick concerning Jacobi polynomials, Journal of Mathematical Analysis and Applications, vol. 428, no. 2, pp. 750–761, Aug. 2015. DOI MR