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Lorenzo Toniazzi

picPhD candidate.

Email: - Office: B0.13 - CV: link.

Supervisors: Prof V. Kolokoltsov and Dr R. Tribe.

Teaching responsibilities 2017-18: MA359 Measure Theory (TA).

Research interests: Fractional PDEs and stochastic jump processes. I have been focusing on time-fractional/nonlocal evolution equations, their wellposedness, regularity and stochastic representation for solutions.


[1] Hernández-Hernández, M.E., Kolokoltsov, V.N., Toniazzi, L.. Generalised fractional evolution equations of Caputo type. Chaos, Solitons & Fractals, 2017, 102 . pp. 184-196. arXiv.

[2] Toniazzi L.. Stochastic solutions for space-time fractional evolution equations on bounded domain. Submitted 2018. arXiv.

[3] Du Q., Toniazzi L., Zhou Z.. Stochastic solutions for time-nonlocal evolution equations. (To be submitted soon).

Conference talks in 2018:

Sep. 2018 - Bielefeld University, Germany. 9th International Conference on Stochastic Analysis and Its Applications.

Sep. 2018 - Swansea University, UK. Probability and NonLocal PDEs Interplay and Cross-Impact.

Sep. 2018 - BCAM, Spain. 6th Fractional Calculus, Probability and Nonlocal Operators Conference.

Tutoring: Applications from undergraduates in search of project ideas are welcome. Possible topics: fractional calculus, differential equations, stochastic jump processes, random walks in random environments.