Preprints

  • G. Cannizzaro, H. Giles, An invariance principle for the 2d self-repelling Brownian Polymer, Submitted. (arXiv)
In press and published Papers​
  1. ​G. Cannizzaro, P. Gonçalves, R. Misturini, A. Occelli, From ABC to KPZ, Probability Theory and Related Fields (2024). ​(arXiv, published)
  2. G. Cannizzaro, M. Gubinelli, F. Toninelli. Gaussian Fluctuations for the Stochastic Burgers equation in dimension d≥2, Communications in Mathematical Physics, 405, no. 89 (2024). (arXiv, published)
  3. G. Cannizzaro, D. Erhard, F. Toninelli, Weak coupling limit of the Anisotropic KPZ equation, Duke Mathematical Journal, 172, no. 16 (2023), 3013-3104. ​(arXiv, published)
  4. G. Cannizzaro, M. Hairer, The Brownian Web as a random R-tree, Electronic Journal of Probability, 28 (2023), 1-47. (arXiv, published)
  5. G. Cannizzaro, D. Erhard, F. Toninelli, The stationary AKPZ equation: logarithmic superdiffusivity, Communications in Pure and Applied Mathematics, 76, no. 11 (2023), 3044-3103. ​(arXiv, published)
  6. G. Cannizzaro, J. Kiedrowski, Stationary stochastic Navier-Stokes on the plane at and above criticality, Stochastics and Partial Differential Equations: Analysis and Computations, (2023). ​(arXiv, published)
  7. G. Cannizzaro, M. Hairer, The Brownian Castle, Communications in Pure and Applied Mathematics, 76, no. 10 (2022), 2693-2764. (arXiv, published)
  8. ​​​G. Cannizzaro, L. Haunschmid-Sibitz, F. Toninelli, √log t - superdiffusivity for a Brownian particle in the curl of the 2d GFF, Annals of Probability, 50, no. 6 (2022), 2475-2498. (arXiv, published)
  9. G. Cannizzaro, D. Erhard, P. Schönbauer, 2D Anisotropic KPZ at stationarity: scaling, tightness and non triviality, ​Annals of Probability, 49, no. 1 (2021), 122-156 (arXiv, published)
  10. ​D. Blömker, G. Cannizzaro, M. Romito, Random Initial Conditions for semi-linear PDEs, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 150, no. 3, (2020), 1533-1565. ​(arXiv, published) ​
  11. G. Cannizzaro, K. Chouk, Multidimensional SDEs with singular drift and universal construction of the polymer measure with white noise potential, Annals of Probability, 46, no. 3 (2018), 1710–1763. (arXiv, published)
  12. G. Cannizzaro, K. Matetski, Space-time discrete KPZ Equation, Communications in Mathematical Physics, 358, no. 2 (2018), 521–588. (arXiv, published)
  13. G. Cannizzaro, P.K. Friz, P. Gassiat, Malliavin Calculus for Regularity Structures: the case of gPAM, Journal of Functional Analysis, 272 no. 1 (2017), 363–419. (arXiv, published)​

Lecture notes and other works

  • G. Cannizzaro, F. Toninelli, Lecture notes on stationary critical and super-critical SPDEs. (arXiv)
  • ​G. Cannizzaro, D. Erhard, F. Toninelli, Logarithmic superdiffusivity of the 2-dimensional anisotropic KPZ equation, review. (pdf)
  • ​PhD Thesis, Singular SPDEs and Related Topics available at DepositOnce