Assistant Professor

American University of Beirut, Department of Mathematics, Faculty of Arts and Sciences

e-mail: ra279@aub.edu.lb

### Prints/Preprints

**Stationary****probability measures on projective spaces for block-Lyapunov dominated systems**, with C. Sert, preprint, arXiv:2202.08014**Random walks on hyperbolic spaces: second order expansion of the rate function at the drift**, with P. Mathieu, C. Sert, preprint, arXiv:2112.14724**Concentration inequalities for random walks on hyperbolic spaces**, with C.Sert, to appear in Probab. Theory Related Fields, arXiv:2101.08222**Law of large numbers for the spectral radius of random matrix products**, with C. Sert,*Amer. J. Math.*Vol. 143, No 3, (2021), 995–1010.**The central limit for eigenvalues**,*Proc. Amer. Math. Soc.*149 (2021), no. 2, 859–873.**Matrix Poincaré inequalities and concentration**, with M. Banna, P. Youssef,*Adv. Math.*371 (2020), 107251, 33 pp.**Random matrix products when the top Lyapunov exponent is simple**, with Y. Guivarc’h,*J. Eur. Math. Soc.*, 22(7):2135–2182, 2020.**Transience of algebraic varieties in linear groups and application to generic Zariski density**,*Ann. Inst. Fourier (Grenoble)*. 63 (2013). no. 5. 2049-2080.**Comptage probabiliste sur la frontière de Furstenberg**,*Enseign. Math.*, 43, 171-198, 2013 (arXiv).**Random subgroups of linear groups are free**,*Duke Math. J*. 160(1):117–173, 2011.