Dr. Leonardo Tolomeo

Postdoctoral researcher
Mathematical Institute, Hausdorff Center for Mathematics, University of Bonn 		Mailing address:
Mathematisches Institut
der Universität Bonn,
Endenicher Allee 60, Room 2.005
D-53115 Bonn, Nordrhein-Westfalen,
Germany
Office: Room 2.005
E-mail: tolomeo ατ math.uni-bonn.de
Home Curriculum Vitae Publications Talks Teaching

Publications:

  1. Ergodicity for the hyperbolic P(Φ)2-model, in preparation.
  2. (with A. Hocquet, M. Romito) About Some Notions of irregularity of paths, in preparation.
  3. (with H. Weber) Phase transition for invariant measures of the focusing Schrödinger equation, in preparation.
  4. (with M. Romito) Yet another notion of irregularity through small ball estimates, arXiv:2207.02716.
  5. (with J. Forlano) Quasi-invariance of Gaussian measures of negative regularity for fractional nonlinear Schrödinger equations, arXiv:2205.11453.
  6. (with T. Oh, M. Okamoto) Stochastic quantization of the Φ33-model, arXiv:2108.06777
  7. (with J. Forlano) On the unique ergodicity for a class of 2 dimensional stochastic wave equations, arXiv:2102.09075.
  8. (with T. Oh, K. Seong) A remark on Gibbs measures with log-correlated Gaussian fields, arXiv:2012.06729.
  9. (with T. Oh, M. Okamoto) Focusing Φ34-model with a Hartree-type nonlinearity (arXiv link), to appear in Mem. Amer. Math. Soc. .
  10. (with T. Oh, P. Sosoe) Optimal integrability threshold for gibbs measures associated with focusing NLS on the torus, (arXiv link) Invent. Math. 227 (2022), no. 3, 1323–1429.
  11. (with V. Cavina, P.A. Erdman, P. Abiuso, V. Giovannetti) Maximum power heat engines and refrigerators in the fast-driving regime (arXiv link), Phys. Rev. A 104, 032226 – September 2021.
  12. (with M. Gubinelli, H. Koch, T. Oh) Global dynamics for the two-dimensional stochastic nonlinear wave equations (arXiv link), Int. Math. Res. Not. (2021), rnab084.
  13. Global well-posedness of the two-dimensional stochastic nonlinear wave equation on an unbounded domain (arXiv link), Ann. Probab. 49(3): 1402-1426 (May 2021).
  14. Unique ergodicity for a class of stochastic hyperbolic equations with additive space-time white noise (arXiv link), Comm. Math. Phys. 377, 1311–1347 (2020)
  15. (with A. Amenta) A dichotomy concerning uniform boundedness of Riesz transforms on Riemannian manifolds (arXiv link), Proc. Amer. Math. Soc. 147 (2019), no. 11, 4797–4803.
  16. (with A. Martini, F. Ricci) Convolution kernels versus spectral multipliers for sub-Laplacians on groups of polynomial growth (arXiv link), J. Funct. Anal. 277 (2019), no. 6, 1603–1638.