Vlad Mărgărint

Papers, preprints and work in preparation

• 1. Convergence in High Probability of the Quantum Diffusion in a Random Band Matrix Model. Journal of Statistical Physics (2018). [Springer] (under the supervision of Antti Knowles).
• 2. Proof of the Weak Local Law for Wigner Matrices using Resolvent Expansions. [arXiv] (under the supervision of Antti Knowles).
• 3. Convergence to closed-form distribution for the backward SLE at some random times and the phase transition at κ=8 [arXiv] - with Terry Lyons and Sina Nejad.
• 4. An asymptotic radius of convergence for the Loewner equation and simulation of SLE traces via splitting [arXiv] - with James Foster and Terry Lyons.
• 5. A new approach to SLE phase transition [arXiv] [ Update PDF ]- with Dmitry Belyaev and Terry Lyons.
• 6. Complex Solutions to Bessel SDEs and SLEs [arXiv] -with Atul Shekhar.
• 7. Continuity in κ in SLE theory using a constructive method and Rough Path Theory - with Dmitry Beliaev and Terry Lyons [arXiv]. (to appear in Annales de l’Institut Henri Poincaré)
• 8. Continuity of Zero-Hitting Times of Bessel Processes and Welding Homeomorphisms of SLE - with Dmitry Beliaev and Atul Shekhar [arXiv].
• 9. Quasi-Sure Stochastic Analysis through Aggregation and SLE Theory [arXiv]

Links on my activity

• Scientific Travel
• Outreach
• Proposed Olympiad subjects
• Life in Mathematics