Istvan Prause

Limit shapes

• Random Young tableaux and the tangent plane method, Galileo Galilei Institute, Firenze, Italy, May 2022 (video) & Probability and Mathematical Physics, ICM Satellite conference, June 2022 (video)
• Integrability of limit shapes, Solvable lattice models seminar, November 2021 (video)
• Probabilistic limit shapes and harmonic functions, CAvid seminar, October 2021 (video)
• Arctic curves beyond the arctic circle, 6th Workshop on Fourier Analysis and Related Fields, Pécs, Hungary, August 2017

Holomorphic interpolation

• Schwarz lemma and quasiconformal mappings, Analysis aspects of dynamics, Imperial College, London, UK, May 2018
• Holomorphic interpolation: from dynamics to analysis, Topics in Analysis and Holomorphic Dynamics, Simons Semester in Banach Center, Warsaw, Poland, September 2015
• Burkholder integrals, Morrey’s problem and quasiconformal mappings, Ahlfors-Bers Colloquium, Houston, USA, March 2011

Multifractal spectra

• Quasidisks and twisting of the Riemann map, Analysis and Dynamics, BIRS-CMO Workshop, Oaxaca, Mexico, September 2016 (video)
• Asymptotic variance of the Beurling transform, Workshop on Conformal Methods in Analysis, Random Structures and Dynamics, Chales, France, April 2015
• Area distortion, quasicircles and harmonic measure, Quasiconformal Geometry and Elliptic PDEs, IPAM, Los Angeles, USA, May 2013 (video)
• Bilipschitz rotation versus quasiconformal stretching, Harmonic and Complex Analysis and its Applications (HCAA), Puerto de la Cruz, Tenerife, Spain, March 2012

Submitted

• Dimer models and conformal structures (with Kari Astala, Erik Duse and Xiao Zhong), arXiv:2004.02599, preprint 2023
• Asymptotics of Bounded Lecture-Hall Tableaux (with David Keating and Zhongyang Li), arXiv:2309.15235, preprint 2023
• Limit shapes from harmonicity: dominos and the five vertex model (with Rick Kenyon), arXiv:2310.06429, preprint 2023

Published papers (incl. accepted)

1. The genus-zero five-vertex model (with Rick Kenyon), Probability and Mathematical Physics, Vol. 3 (2022), No. 4, 707–729, arXiv:2101.04195
2. Gradient variational problems in R² (with Rick Kenyon), Duke Math. J. 171 (14), 2022, 3003 – 3022, arXiv:2006.01219
3. On mappings of finite distortion that are quasiconformal in the unit disk (with Olli Hirviniemi, Lauri Hitruhin and Eero Saksman), J. Anal. Math., 2022,  arXiv:2104.10961
4. Localized regularity of planar maps of finite distortion (with Olli Hirviniemi and Eero Saksman), Rev. Mat. Iberoam. 38 (2), 2022, 615–634, arXiv:2001.04173
5. Stretching and rotation of planar quasiconformal mappings on a line (with Olli Hirviniemi and Eero Saksman), Potential Anal., arXiv:2007.07735, 2021
6. Quasidisks and twisting of the Riemann map, Int. Math. Res. Not. IMRN (7), 2019, 1936–1954, arXiv:1611.06734
7. Quasiconformal extensions, Loewner chains, and the lambda-Lemma (with Pavel Gumenyuk), Anal. Math. Phys. (8), 2018, 621–635, A. Vasiliev Memorial Volume, arXiv:1712.08632
8. Asymptotic variance of the Beurling transform (with Kari Astala, Oleg Ivrii and Antti Perälä), GAFA 25 (6), 2015, 1647–1687, arXiv:1502.00459
9. A hunt for sharp L^p-estimates and rank-one convex variational integrals (with Kari Astala, Tadeusz Iwaniec and Eero Saksman), Filomat 29 (2), 2015, 245–261, arXiv:1403.1095
10. On a Hölder constant in the theory of quasiconformal mappings, Comput. Methods. Funct. Theory 14, 2014, 483–486, F.W. Gehring Memorial Volume, arXiv:1309.6748
11. Bilipschitz and quasiconformal rotation, stretching and multifractal spectra (with Kari Astala, Tadeusz Iwaniec and Eero Saksman), Publ. Math. Inst. Hautes Études Sci. 121 (1), 2015, 113–154, arXiv:1303.2325
12. Burkholder integrals, Morrey’s problem and quasiconformal mappings (with Kari Astala, Tadeusz Iwaniec and Eero Saksman), J. Amer. Math. Soc. 25 (2), 2012, 507–531, arXiv:1012.0504
13. Hausdorff measure of quasicircles (with Xavier Tolsa and Ignacio Uriarte-Tuero), Adv. Math. 229 (2), 2012, 1313–1328, arXiv:0912.3365
14. Quasisymmetric distortion spectrum (with Stas Smirnov), Bull. London Math. Soc. 43 (2), 2011, 267–277, arXiv:0910.4723
15. Flatness properties of quasispheres, Comput. Methods Funct. Theory 7, 2007, 527–541.
16. On distortion of Hausdorff measures under quasiconformal mappings, Conform. Geom. Dyn. 11, 2007, 219–223.
17. A remark on quasiconformal dimension distortion on the line, Ann. Acad. Sci. Fenn. Math. 32, 2007 no. 2, 341–352.