Vlad Mărgărint

Papers and preprints

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 [arXiv] - with Dmitry Beliaev and Atul Shekhar. (to appear in ALEA- Latin American Journal of Probability and Mathematical Statistics).
9. Quasi-Sure Stochastic Analysis through Aggregation and SLE Theory [arXiv].
10. [New] Law of the SLE tip [arXiv]- with Oleg Butkovsky and Yizheng Yuan.
11. [New] Convergence of Splitting and Linear Interpolation Schemes to Schramm-Loewner Evolutions [arXiv]- with Jiaming Chen.

Work in preparation

1. [New] Perturbations of the Multiple Schramm-Loewner Evolutions Simultaneous Growth Model [PDF]-with J. Chen.
2. [New] Remarks on Loewner chains driven by Semimartingales and Complex Bessel-type SDEs [PDF]-with A.Shekhar.
3. Random Matrices, Multiple SLEs and connections with Machine Learning [PDF]
4. Weak symmetries/Transversal Calculus [PDF]

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