Dr. Ivan Yaroslavtsev
Wissenschaftlicher Mitarbeiter
Address
Office
Office hours
on appointment by mail
Contact
Employment
| Since October 2024 | Postdoc, Uni Hamburg |
| April-September 2024 | Professor Substitute, Uni Hamburg |
| September 2021-March 2024 | Postdoc, Uni Hamburg |
| June 2019-August 2021 | Postdoc, MPI MiS Leipzig |
| March 2015-March 2019 | PhD Candidate, TU Delft |
Education
| March 2019 | PhD in Mathematics (cum laude), TU Delft |
| June 2014 | Diploma in Mathematics, Lomonosov Moscow State University |
Stochastic analysis
Harmonic analysis
UMD Banach spaces
Random dynamical systems
Publications
17. Local characteristics and tangency of vector-valued martingales. Probab. Surv., 17, 545–676, 2020
16. On strongly orthogonal martingales in UMD Banach spaces. Probab. Math. Statist., 41 (2021), no. 1, 153–171.
15. The UMD property for Musielak–Orlicz spaces. Positivity and Noncommutative Analysis. Festschrift in honour of Ben de Pagter on the occasion of his 65th birthday, Trends in Mathematics, 2019 (with N. Lindemulder and M.C. Veraar)
14. Burkholder–Davis–Gundy inequalities in UMD Banach spaces. Comm. Math. Phys., 379, no. 2, 417–459, 2020
13. The Hilbert transform and orthogonal martingales in Banach spaces. Int. Math. Res. Not. IMRN 2021, no. 15, 11670–11730 (with A. Osekowski)
12. Pointwise properties of martingales with values in Banach function spaces. High dimensional probability VIII, The Oaxaca Volume. Progress in Probability 74, 321–340, 2019 (with M.C. Veraar)
11. On the martingale decompositions of Gundy, Meyer, and Yoeurp in infinite dimensions. Ann. Inst. Henri Poincaré Probab. Stat. 55, no. 4, 1988–2018, 2019
10. Even Fourier multipliers and martingale transforms in infinite dimensions. Indag. Math. (N.S.) 29, no. 5, 1290–1309, 2018
9. Lq -valued Burkholder-Rosenthal inequalities and sharp estimates for stochastic integrals. Proc. Lond. Math. Soc. (3), 119 (2019), no. 6, 1633–1693 (with S. Dirksen)
8. Martingale decompositions and weak differential subordination in UMD Banach spaces. Bernoulli, 25 (2019), no. 3, 1659–1689
7. Fourier multipliers and weak differential subordination in UMD Banach spaces. Studia Math. 243, no. 3, 269–301, 2018
6. Brownian representations of cylindrical continuous local martingales. Infin. Dimens. Anal. Quantum Probab. Relat.Top. 21, no. 2, 1850013, 25 pp., 201 8
5. Cylindrical continuous martingales and stochastic integration in infinite dimensions. Electron. J. Probab. 21:53 pp., 2016 (with M.C. Veraar)
4. On convex compact sets of positive measure in linear spaces. Math. Notes 96, no. 3-4, pp 448–450, 2014 (with L.M. Arutyunyan and E.D. Kosov)
3. On the asymmetry of the past and the future of the ergodic Z-action. Mat. Zametki 95, no. 3, 479–480 (in Russian); English transl.: Math. Notes 95, no. 3-4, 438–440, 2014
2. On some properties of polynomials measurable with respect to a Gaussian measure. Dokl. Ross. Akad. Nauk 457, no. 2, 131–135. (in Russian); English transl.: Dokl. Math. 90, no. 1, 419–423, 2014 (with L.M. Arutyunyan and E.D. Kosov)
1. On measurable polynomials on infinite-dimensional spaces. Dokl. Ross. Akad. Nauk 449, no. 6, 627–631 (in Russian); English transl.: Dokl. Math. 87, no. 2, 214–217, 2013 (with L.M. Arutyunyan)