Me at Saint-Michel Abbey, photo credit Tristan Haugomat.

Carlo Bellingeri

Welcome to my personal webpage.

I am Post-Doc at the TU Berlin, working in the group of Peter Friz.

From October 2015 to July 2019 I did my PhD at the LPSM laboratory, under the supervision of Lorenzo Zambotti.

Here you can find my CV and my PhD Thesis.

Research interests

Stochastic analysis

Stochastic and deterministic partial differential equations

Rough analysis (Regularity Structures and Rough Paths)

Algebraic structures in probability

Preprints

C. Bellingeri, N. Gilliers The non-commutative signature of a path Arxiv Preprint arXiv:2102.11816 (2021).

Publications

C. Bellingeri, An Itô type formula for the additive stochastic heat equation Electron. J. Probab. Vol. 25, paper no. 2, 1-52 (2020).

C. Bellingeri, A. Djurdjevac, P. K. Friz, N. Tapia. Transport and continuity equations with (very) rough noise Partial Differ. Equ. Appl. 2 (2021), no. 49.

C. Bellingeri, P. K. Friz, M. Gerencsér Singular paths spaces and applications Stochastic Analysis and Applications, DOI: 10.1080/07362994.2021.1988641 (2021)

C. Bellingeri, P. K. Friz, S. Paycha, R. Preiß Smooth rough paths, their geometry and algebraic renormalization Vietnam J. Math. 50, 719–761 (2022)

C. Bellingeri Quasi-geometric rough paths and rough change of variable formula Accepted at Annales de l’Institut Henri Poincaré B (2022)