Projects per year
Personal profile
Research interests
My main research interests lie in the fields of stochastic analysis and partial differential equations. Previously I have worked on analysis of mean field systems, the theory of regularisation by noise and ergodic theory for SPDEs. More recently I have been interested in stochastic quantisation of quatum field theories, regularisation by noise in interacting particle systems and singular McKean-Vlasov equations.
Willing to supervise doctoral students
If you are interested in developing an indepenent PhD and funding application then do also get in touch.
Teaching interests
- 2023/2024 Semester 1: Markov Processes and Applications
External positions
Postdoctoral Research Assistant, Technical University Berlin
31 Aug 2022 → 31 Aug 2023
INI-Simons Research Fellow, University of Cambridge
1 Aug 2021 → 30 Aug 2022
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Collaborations and top research areas from the last five years
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Projects
- 1 Active
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FBSDE Methods in Heterogeneous Agent Models
Mayorcas, A. (PI), Pryer, T. (CoI) & Chen, C. (Researcher)
Engineering and Physical Sciences Research Council
25/11/24 → 24/11/25
Project: Research council
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Distribution dependent SDEs driven by additive fractional Brownian motion
Galeati, L., Harang, F. A. & Mayorcas, A., 1 Feb 2023, In: Probability Theory and Related Fields. 185, 1-2, p. 251-309 59 p.Research output: Contribution to journal › Article › peer-review
Open Access7 Citations (SciVal) -
Blow-up for a stochastic model of chemotaxis driven by conservative noise on R2
Mayorcas, A. & Tomašević, M., 5 Aug 2023, In: Journal of Evolution Equations. 23, 3, 57.Research output: Contribution to journal › Article › peer-review
Open Access -
Introduction to SPDEs from Probability and PDE
Mayorcas, A., 25 Nov 2021, (Submitted) arXiv, 88 p.Research output: Working paper / Preprint › Preprint
File37 Downloads (Pure) -
An Additive-Noise Approximation to Keller-Segel-Dean-Kawasaki Dynamics: Small-Noise Results
Martini, A. & Mayorcas, A., 22 Oct 2024, arXiv.Research output: Working paper / Preprint › Preprint
File25 Downloads (Pure) -
Large Deviations of the $Φ^4_3$ Measure via Stochastic Quantisation
Klose, T. & Mayorcas, A., 1 Feb 2024, arXiv.Research output: Working paper / Preprint › Preprint
File36 Downloads (Pure)