Francesco Cellarosi, Ph.D.

2011

Yakov Sinai	grad student	2011	Princeton
(Limit Theorems for Theta Sums via Renormalization and Homogeneous Dynamics.)

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Avdeeva M, Cellarosi F, Sinai YG. (2017) Ergodic and Statistical Properties of $\B$-Free Numbers Theory of Probability and Its Applications. 61: 569-589
Cellarosi F, Marklof J. (2016) Quadratic Weyl sums, automorphic functions and invariance principles Proceedings of the London Mathematical Society. 113: 775-828
Bufetov AI, Gurevich BM, Khanin KM, et al. (2014) The Abel Prize award to Ya.G. Sinai Russian Mathematical Surveys. 69: 931-956
Cellarosi F, Sinai YG. (2013) Ergodic properties of square-free numbers Journal of the European Mathematical Society. 15: 1343-1374
Cellarosi F, Vinogradov I. (2013) Ergodic properties of k-free integers in number fields Journal of Modern Dynamics. 7: 461-488
Cellarosi F, Sinai YG. (2013) Non-standard limit theorems in number theory Springer Proceedings in Mathematics and Statistics. 33: 197-213
Cellarosi F. (2011) Limiting curlicue measures for theta sums Annales De L'Institut Henri Poincare (B) Probability and Statistics. 47: 466-497
Cellarosi F, Sinai YG. (2011) The Möbius function and statistical mechanics Bulletin of Mathematical Sciences. 1: 245-275
Cellarosi F. (2009) Renewal-type limit theorem for continued fractions with even partial quotients Ergodic Theory and Dynamical Systems. 29: 1451-1478