A sandwich theorem for the spectrum of graph coverings, with Wenbo Li and Joe Thomas Preprint arXiv.2609.36341

Logarithmic regularity of spectral measures on infinite graphs, Preprint arXiv.2606.03006

Quadratic differentials and random walks on the dual graph of a pants decomposition, with X. Dong and D. Šarić Preprint arXiv.2604.11985

Quantum mixing on large Schreier graphs, with C. Letrouit and M. Sabri, Preprint arXiv.2601.14182.

Sparse graphs and their Benjamini-Schramm limits: a spectral tour, // Proceedings ICM 2026 (to appear) // arXiv:2510.10299.

Cutoff for geodesic paths on hyperbolic manifolds, with J. Mathien, // Communications in Mathematical Physics (to appear) // arXiv:2502.06325.

Outliers of perturbations of banded Toeplitz matrices, with M. Capitaine and F. Chapon, Preprint arXiv:2410.16439.

Large deviations for macroscopic observables of heavy-tailed matrices, with A. Guionnet and C. Male, Preprint arXiv:2409.14027.

Freeness for tensors, with R. Bonnin, Preprint arXiv:2407.18881.

Norm of matrix-valued polynomials in random unitaries and permutations, with B. Collins, Preprint arXiv:2304.05714.

Mobility Edge of Lévy Matrices, with A. Aggarwal and P. Lopatto, Preprint arXiv:2210.09458.

Noise sensitivity for the top eigenvector of a sparse random matrix, with J. Lee, // Electron. J. Probab. 27 (2022), Paper No. 49 // arXiv:2106.09570.

Existence of absolutely continuous spectrum for Galton-Watson random trees, with A. Arras, // Communications in Mathematical Physics 2023, 403 (1), pp.495-527 // arXiv:2105.10177.

Typicality and entropy of processes on infinite trees, A. Backhausz and B. Szegedy, // Ann. Inst. Henri Poincaré Probab. Stat. 58 (2022), no. 4, 1959–1980 // arXiv:2102.02653.

Strong asymptotic freeness for independent uniform variables on compact groups associated to non-trivial representations, with B. Collins, // Invent. Math. 2024, 237 (1), pp.221-273.// arXiv:2012.08759.

Convergence of the spectral radius of a random matrix through its characteristic polynomial with D. Chafai and D. Garcia-Zelada // Probab. Theory Related Fields 182 (2022), no. 3-4, 1163–1181. // arXiv:2012.05602.

Markovian linearization of random walks on groups with B. Dubail, // International Mathematics Research Notices 2023, 2023 (11), pp.9185-9220.// arXiv:2011.14127 .

Detection thresholds in very sparse matrix completion with S. Coste and R. R. Nadakuditi // Foundations of Computational Mathematics 2022, 23 (5), pp.1619-1743. // arXiv:2005.06062 .

Outlier eigenvalues for non-Hermitian polynomials in independent i.i.d. matrices and deterministic matrices with S. Belinschi, M. Capitaine and G. Cébron // Electron. J. Probab. 26 (2021): Paper No. 100, 37 pp. // arXiv:1906.10674.

Noise sensitivity of the top eigenvector of a Wigner matrix with G. Lugosi and N. Zhivotovskiy // Probab. Theory Related Fields, 177(3-4):1103–1135, 2020. // arxiv:1903.04869.

Cutoff at the entropic time for random walks on covered expander graphs with H. Lacoin // J. Inst. Math. Jussieu 21 (2022), no. 5, 1571–1616. // arxiv:1812.06769.

Spectral gap of sparse bistochastic matrices with exchangeable rows with application to shuffle-and-fold maps with Y. Qiu and Y. Zhang // Annales de l’Institut Henri Poincaré (B) 56(4):2971–2995, 2020. // arxiv:1805.06205.

Eigenvalues of random lifts and polynomial of random permutation matrices with B. Collins // Ann. of Math. (2), 190(3) : 811–875, 2019. // arxiv:1801.00876.

Graphs with prescribed local neighborhoods of their universal coverings with S. Coste // J. Combin. Theory Ser. B, 138:196–205, 2019. // arxiv:1712.03520.

Largest eigenvalues of sparse inhomogeneous Erd&oumls-Rényi graphs with F. Benaych-Georges and A. Knowles // Annals of Probability, 47(3):1653–1676, 2019. // arxiv:1704.02953.

Spectral radii of sparse random matrices with F. Benaych-Georges and A. Knowles // Ann. Inst. Henri Poincaré (B) 56(3), 2141–2161, 2020.// arxiv:1704.02945.

Cutoff at the “entropic time” for sparse Markov chains with P. Caputo and J. Salez // Probability Theory and Related Fields, 173(1-2):261–292, 2019. // arxiv:1611.01079.

Spectrum of large random Markov chains: heavy-tailed weights on the oriented complete graph with P. Caputo, D. Chafai and D. Piras // Random Matrices: Theory and Applications, 6 (2017), no. 2, 1750006, 33 pp. // arxiv:1610.01836.

On the spectral radius of a random matrix with P. Caputo, D. Chafai and K. Tikhomirov // Annals of Probability, 46(4):2268–2286, 2018. // arxiv:1607.05484.

Shotgun Assembly of Random Jigsaw Puzzles with U. Feige and E. Mossel // Random Structures Algorithms 56(4), 998–1015, 2020. // arxiv:1605.03086.

Delocalization at small energy for heavy-tailed random matrices with A. Guionnet // Communications in Mathematical Physics, 354(1):115–159, 2017. // arxiv:1603.08845.

Random walk on sparse random digraphs with P. Caputo and J. Salez // Probability Theory and Related Fields, 170(3-4):933–960, 2018. // arxiv:1508.06600.

A new proof of Friedman's second eigenvalue Theorem and its extension to random lifts // Ann. Sci. Éc. Norm. Supér. (4) 53 (2020), no. 6, 1393–1439. // arxiv:1502.04482.

Non-backtracking spectrum of random graphs: community detection and non-regular Ramanujan graphs with M. Lelarge and L. Massoulié // Annals of Probability, 46(1):1–71, 2018 and FOCS 2015 // arxiv:1501.06087.

On quantum percolation in finite regular graphs // Annales Henri Poincaré 16 (2015), no. 11, 2465-2497// arxiv:1409.2000.

Outlier eigenvalues for deformed i.i.d. random matrices with M. Capitaine // Communications in Pure and Applied Mathematics, Vol. 69 (11), 2131-2194 (2016) // arxiv:1403.6001.

An extension of the Derrida-Lebowitz-Speer-Spohn equation with P. Germain and T. Trogdon // Journal of Physics A, no. 48, 485205 (2015).// arxiv:1402.6620.

Large deviations of empirical neighborhood distribution in sparse random graphs with P. Caputo // Probability Theory and Related Fields, 163 no. 1-2, 149-222 (2015) // arxiv:1308.5725.

Mean quantum percolation with A. Sen and B. Virag // Journal of the European Mathematical Society, 19(12):3679–3707, 2017. // arxiv:1308.3755.

Extinction probability and total progeny of predator-prey dynamics on infinite trees // Electronic Journal in Probability, Vol. 19(20), 1-33 (2014) // arxiv:1210.2883.

On Euclidean random matrices in high dimension // Electronic Communications in Probability, Vol. 18, 1-8 (2013) // arxiv:1209.5888.

A large deviations principle for Wigner matrices without gaussian tails with P. Caputo // Annals of Probability 42 (2014), no. 6, 2454-2496. // arxiv:1207.5570.

Spectrum of Markov generators on sparse random graphs with P. Caputo and D. Chafai // Communications in Pure and Applied Mathematics, Vol.67(4) 621-669 (2014) // arxiv:1202.0644.

Localization and delocalization of eigenvectors for heavy-tailed random matrices with A. Guionnet // Probability Theory and Related Fields, Vol. 157(3-4), 885-953 (2013) // arxiv:1201.1862.

Around the circular law with D. Chafai // Probability Surveys, Vol. 9(0), 1-89 (2012) // arxiv:1109.3343.

Combinatorial optimization over two random point sets with F. Barthe // Séminaire de probabilités XLV Vol. 2046, 483-536 (2013) // arxiv:1103.2734.

Matchings on infinite graphs with M. Lelarge and J. Salez // Probability Theory and Related Fields, Vol. 157(1), 183-208 (2013) // arxiv:1102.0712.

On the spectrum of sum and product of non-hermitian random matrices // Electronic Communications in Probability, Vol. 16, 104-113 (2011) // arxiv:1010.3087.

Spectrum of non-Hermitian heavy tailed random matrices with P. Caputo and D. Chafai // Communications in Mathematical Physics, Vol. 307(2), 513-560 (2011) // arxiv:1006.1713.

Circular Law Theorem for Random Markov Matrices with P. Caputo and D. Chafai // Probability Theory and Related Fields, Vol. 152(3-4), 751-779 (2012) // arxiv:0808.1502.

The rank of diluted random graphs with M. Lelarge and J. Salez // Annals of Probability, Vol. 39(3), 1097-1121 (2011) // arxiv:0907.4244.

Spectrum of large random reversible Markov chains - heavy-tailed weights on the complete graph with P. Caputo and D. Chafai // Annals of Probability, Vol. 39(4), 1544-1590 (2011). // arxiv:0903.3528.

Load optimization in a planar network with G.L. Torrisi // Annals of Applied Probability, Vol. 20(6), 2040-2085 (2010) // arxiv:0902.4304.

Optimal control of interacting particle systems with V. Anantharaman hal-00397327.

Spectrum of large random reversible Markov chains : two examples with P. Caputo and D. Chafai // Latin American Journal of Probability and Mathematical Statistics, Vol. 7, 41-64 (2010) // arxiv:0811.1097.

Asymptotic stability region of slotted-Aloha with D. McDonald and A. Proutière // IEEE Transactions on Information Theory, Vol. 58(9), 5841-5855 (2012) // arxiv:0809.5023.

Performance of random medium access control, an asymptotic approach with D. McDonald and A. Proutière // Proc. ACM Sigmetrics 2008, 1-12, (2008)// hal-inria-00849006.

On the birth-and-assassination process, with an application to scotching a rumor in a network // Electronic Journal of Probability, 2014-2030, (2008) // arxiv:0801.4499.

Resolvent of Large Random Graphs with M. Lelarge // Random Structures & Algorithms, Vol. 37(3), 332-352, (2010) // arxiv:0801.0155.

Dynamic Programming Optimization over Random Data: the Scaling Exponent for Near-optimal Solutions with D. Aldous and M. Lelarge // SIAM Journal of Computing, Vol.38, No.6 (2009) // arxiv: math.PR/0710.0857.

A particle system in interaction with a rapidly varying environment: Mean field limits and applications with D. McDonald and A. Proutiè;re // Networks and Heterogeneous Media, Vol 5, No.1 (2010) // arxiv: math.PR/0701363.

Near-Minimal Spanning Trees: a Scaling Exponent in Probability Models with D. Aldous and M. Lelarge // Annales de l'Institut Henri Poincaré (B) Vol. 44, No. 5 (2008) // arxiv: math.PR/0609547.

Navigation on a Poisson point process // Annals of Applied Probability , Vol. 18, No. 2, 708-746 (2008) // arxiv: math.PR/0601122 .

The radial spanning tree of a Poisson point process with F. Baccelli // Annals of Applied Probability, Vol. 17, No. 1, 305-359 (2007) //arxiv: math/0703024.

Eigenvalues of Euclidean random matrices // Random Structures & Algorithms, Vol. 33, No. 4, 515-532 (2008) // arxiv: math.PR/0606624.

A random multiple access protocol with spatial interactions with S. Foss and V. Shneer // Journal of Applied Probability, Vol. 46, 844-865 (2009) // arxiv: math.PR/0612583.

Large deviations of Poisson cluster processes with G.L. Torrisi // Stochastic Models, Vol 23, 593-625 (2007) //.

Monte Carlo methods for sensitivity analysis of Poisson-driven stochastic systems with G.L. Torrisi // Advances in Applied Probability, vol. 40(2):293-320 (2008). //

Random multi-access algorithms, a mean field analysis with D. Mc Donald and A. Proutiè;re Proc. 43th Allerton conference (2005) hal-inria-00070375.

Stability of spatial networks // Advances in Applied Probability, vol. 38-8 (2006)//.

Spatial capacity of multiple access wireless networks // IEEE Transactions on Information Theory, vol. 52-11 (2006)//.

The dead leaves model: a general tessellation modelling occlusion with Y. Gousseau and F. Roueff // Advances in Applied Probability, vol. 38-1 (2006).//