Sara Mazzonetto

Since September 2020 I am maîtresse de conférences at the Institut de mathématiques Élie Cartan Lorraine, Université de Lorraine (site de Nancy). Since December 2021 I am member of the Inria PASTA team.

My research interests in keywords

I mainly work in Stochastic Analysis and my research interests are considered sometimes borderline into statistics for stochastic processes and Numerical Analysis but I focus on the theoretical probabilistic point of view.

Among processes I consider: SDEs with singular coefficients such as Skew Brownian motion, sticky Brownian motion, oscillating Brownian motion, and Brownian diffusions with discontinuous coefficients; local time, S(P)DEs with non-globally monotone coefficients.

I considered exact simulation, convergence for (space-time discrete) approximation methods, perturbation theory, stochastic calculus, Gronwall-type inequalities, estimation MLE and gave CLT results, existence and uniqueness questions, existence and moments of derivative processes.

Publications and other documents

Publications

• Parameters estimation of a Threshold CKLS process from continuous and discrete observations (with Benoit Nieto). To appear in Scandinavian Journal of Statistics, accepted on june 2025. Hal-04524431v2 published online at link.

• Rates of convergence to the local time of Oscillating and Skew Brownian Motions. To appear in Bernoulli, accepted on March 2025 Arxiv: 1912.04858

• Maximum likelihood estimator for skew Brownian motion: the convergence rate. Scandinavian Journal of Statistics Vol. 51, Issue 2, 612-642, 2024 (with Antoine Lejay). Journal page, Arxiv: 2302.02954

• Drift estimation of the threshold Ornstein-Uhlenbeck process from continuous and discrete observations --alias Estimating the drift of the threshold Vasicek model. Statistica Sinica 34 , No. 1, 313-336, 2024 (with Paolo Pigato). Journal page (main document and supplementary material)

• On the Itô-Alekseev-Gröbner formula for stochastic differential equations.  Ann. Inst. H. Poincaré Probab. Statist. Vol. 60, No.2, 904-922, 2024  (with Anselm Hudde, Martin Hutzenthaler, and Arnulf Jentzen).  Arxiv: 1812.09857

• A stochastic Gronwall inequality and applications to moments, strong completeness, strong local Lipschitz continuity, perturbations. Ann. Inst. H. Poincaré Probab. Statist. Vol. 57, No. 2, 603–626, 2021  (with Anselm Hudde and Martin Hutzenthaler). Arxiv: 1903.08727, journal page.

• On an approximation of 2-D stochastic Navier-Stokes equations, Proceedings of the XI international conference Stochastic and Analytic Methods in Mathematical Physics, Lectures in Pure and Applied Mathematics (6), Potsdam University Press, 87-96, 2020. Article.

• Existence, uniqueness, and numerical approximations for stochastic Burgers equations, Stochastic Analysis and Applications, 38:4, 623-646, 2020 (with Diyora Salimova). Journal and arxiv version.

• Exact simulation of Brownian diffusions with drift admitting jumps, SIAM Journal on Scientific Computing, Vol. 39, No.3, A711-A740, 2017 (with David Dereudre and Sylvie Roelly). Journal and arxiv version.

• An explicit representation of the transition densities of the skew brownian motion with drift and two semipermeable barriers, Monte Carlo Methods Appl., Vol.22, No.1, 1-23, 2016 (with David Dereudre and Sylvie Roelly). Journal and arxiv version.

Arxiv preprints

• Beyond the delta method  (with Antoine Lejay). Arxiv: 2207.13954

• Estimation of parameters and local times in a discretely observed  threshold diffusion model (with Paolo Pigato). Arxiv:2403.06858 

• On the number of crossings and bouncings of a diffusion at a sticky threshold (with Alexis Anagnostakis). Arxiv:2411.08846

• Sticky-threshold diffusions, local time approximation and parameter estimation (with Alexis Anagnostakis). Arxiv:2403.08754

Other works 

• Existence and uniqueness properties for solutions of a class of Banach space valued evolution equations  (with Arnulf Jentzen and Diyora Salimova). Arxiv: 1812.06859

• On moments and strong local Hölder regularity of solutions of stochastic differential equations and of their spatial derivative processes (with Anselm Hudde and Martin Hutzenthaler). Arxiv: 1903.09707

• Strong convergence for explicit space-time discrete numerical approximation for two-dimensional stochastic Navier-Stokes equations. Arxiv: 1809.01937

Ph.D. thesis

On the Exact Simulation of (Skew) Brownian Diffusions with Discontinuous Drift (Link to the thesis and to the beamer presentation used for the defence). The thesis was defended in November 2016 in Potsdam. My supervisors are Prof. Dr. Sylvie Roelly at the Universität Potsdam and Prof. Dr. David Dereudre at Universitè de Lille 1 (in cotutelle).

Some other documents

• Poster presented in Bogotà, december 2016

• Local volatility (Beamer) for the talk at the Berlin-Paris Workshop, November 2016

• Project ``Il cielo come laboratorio": Fotometria e diagramma H-R di Leo I e II, due galassie nane del Gruppo Locale. Il cielo come laboratorio Ed. VII, 2008. (with A. Baggio, G. Baso, D. De Pazzi, S. Mazzonetto, N. Pasini, L. Scotton).