Mitia Duerinckx
Personal Homepage
Preprints
[34]     The Clausius-Mossotti formula
with Antoine Gloria, submitted (2022, 15 pp.)
[33]     On Einstein's effective viscosity formula
with Antoine Gloria, submitted (2022, 148 pp.)
[32]     Cherenkov radiation with massive bosons and quantum friction
with Christopher Shirley, submitted (2022, 45 pp.)
[31]     Continuum percolation in stochastic homogenization and the effective viscosity problem
with Antoine Gloria, submitted (2021, 29 pp.)
[30]     Non-perturbative approach to the Bourgain-Spencer conjecture in stochastic homogenization
submitted (2021, 39 pp.)

Publications in peer-reviewed journals
[29]     Well-posedness of the Lenard-Balescu equation with smooth interactions
with Raphael Winter, Arch. Ration. Mech. Anal., to appear (2022, 46 pp.)
[28]     Quantitative homogenization theory for random suspensions in steady Stokes flow
with Antoine Gloria,
J. Ec. Polytech. - Math., to appear (2022, 57 pp.)
[27]     Effective viscosity of random suspensions without uniform separation
Ann. Inst. H. Poincaré Anal. Non Linéaire, to appear (2022, 37 pp.)
[26]     A short proof of Gevrey regularity for homogenized coefficients of the Poisson point process
with Antoine Gloria,
C. R. Math., to appear (2022, 11 pp.)
[25]     Eigenvalue fluctuations for random elliptic operators in homogenization regime
J. Stat. Phys. 187, Art. 32, 20pp. (2022)
[24]     Scaling limit of the homogenization commutator for correlated coefficient fields
with Julian Fischer and Antoine Gloria,
Ann. Appl. Probab. 32(2):1179-1209 (2022)
[23]     Sedimentation of random suspensions and the effect of hyperuniformity
with Antoine Gloria,
Ann. PDE 8, Art.2, 66pp. (2022)
[22]     On nonlinear Schrödinger equations with random initial data
Math. Eng. 4(4):1-14 (2022)
[21]     A new spectral analysis of stationary random Schrödinger operators
with Christopher Shirley,
J. Math. Phys. 62:072106 (2021)
[20]     Approximate normal forms via Floquet-Bloch theory: Nehorošev stability for linear waves in quasiperiodic media
with Antoine Gloria and Christopher Shirley,
Commun. Math. Phys. 383:633-683 (2021)
[19]     On the size of chaos via Glauber calculus in the classical mean-field dynamics
Commun. Math. Phys. 382:613-653 (2021)
[18]     Lenard-Balescu correction to mean-field theory
with Laure Saint-Raymond,
Probab. Math. Phys. 2(1):27-69 (2021)
[17]     Corrector equations in fluid mechanics: Effective viscosity of colloidal suspensions
with Antoine Gloria,
Arch. Ration. Mech. Anal. 239:1025-1060 (2021)
[16]     Higher-order pathwise theory of fluctuations in stochastic homogenization
with Felix Otto,
Stoch. Partial Differ. Equ. Anal. Comput. 8:625-692 (2020)
[15]     Robustness of the pathwise structure of fluctuations in stochastic homogenization
with Antoine Gloria and Felix Otto,
Probab. Theory Related Fields 178:531-566 (2020)
[14]     The structure of fluctuations in stochastic homogenization
with Antoine Gloria and Felix Otto,
Commun. Math. Phys. 377:259-306 (2020)
[X]     Appendix to Mean-field limit for Coulomb-type flows by Sylvia Serfaty
Duke Math. J. 169(15):2887-2935 (2020)
[13]     Multiscale functional inequalities in probability: concentration properties
with Antoine Gloria,
ALEA, Lat. Am. J. Probab. Math. Stat. 17:133-157 (2020)
[12]     Multiscale functional inequalities in probability: constructive approach
with Antoine Gloria,
Ann. Henri Lebesgue 3:825-872 (2020)
[11]     A remark on a surprising result by Bourgain in homogenization
with Antoine Gloria and Marius Lemm,
Commun. Part. Diff. Eq. 44(12):1345-1357 (2019)
[10]     Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing
with Sylvia Serfaty,
Ann. PDE 4(2), Art.19, 172 pp. (2018)
[9]     Well-posedness for mean-field evolutions arising in superconductivity
with an appendix jointly written with Julian Fischer,
Ann. Inst. H. Poincaré Anal. Non Linéaire 35(5):1267-1319 (2017)
[8]     Mean-field limits for some Riesz interaction gradient flows
SIAM J. Math. Anal. 48(3):2269-2300 (2016)
[7]     Stochastic homogenization of nonconvex unbounded integral functionals with convex growth
with Antoine Gloria,
Arch. Ration. Mech. Anal. 221(3):1511-1584 (2016)
[6]     Analyticity of homogenized coefficients under Bernoulli perturbations and the Clausius-Mossotti formulas
with Antoine Gloria,
Arch. Ration. Mech. Anal. 220(1):297-361 (2015)
[5]     Resource dependent branching processes and the envelope of societies
with Thomas Bruss,
Ann. Appl. Probab. 25(1):324-372 (2015)
[4]     Stochastic noise reduction upon complexification: positively correlated birth-death type systems
with Marianne Rooman and Jaroslav Albert,
J. Theor. Biol. 324:113-123 (2014)
[3]     Maximum likelihood characterization of distributions
with Christophe Ley and Yvik Swan,
Bernoulli 20(2):775-802 (2014)
[2]     Maximum likelihood characterization of rotationally symmetric distributions on the sphere
with Christophe Ley,
Sankhya, Series A 74:249-262 (2013)
[1]     Functions with constant mean on similar countable subsets of R2
with Cédric De Groote,
Amer. Math. Monthly 119:603-605 (2011)

Conference proceedings
[P6]      Bourgain's surprising result in stochastic homogenization
with Tobias Ried,
Oberwolfach Reports (2022)
[P5]      Effective viscosity of semi-dilute suspensions
with Antoine Gloria,
Séminaire Laurent Schwartz - EDP et applications (2022)
[P4]      Propagation of chaos and corrections to mean-field for interacting particles
Oberwolfach Reports (2020)
[P3]      Characterizing fluctuations in stochastic homogenization
with Felix Otto,
Oberwolfach Reports (2018)
[P2]      Approximate spectral theory and wave propagation in quasi-periodic media
with Antoine Benoit, Antoine Gloria, and Chistopher Shirley,
J. É. D. P., Talk n°V (2017)
[P1]      Promenade ergodique au pays des fractions continues (in French)
in: Notes de la quatrième Brussels Summer School of Mathematics (C. Bartolmé, Y. Dominicy, C. Ley, N. Richard, Y. Swan, G. Van Bever Editors, 2011)

Theses
[T1]      Topics in the mathematics of disordered media
PhD thesis, co-supervised by Antoine Gloria and Sylvia Serfaty (December 2017)
[X]      Promenades en homogénéisation stochastique (in French)
Master thesis, supervised by Antoine Gloria (June 2014)