
ISTVAN PRAUSE
Senior Researcher
Contact info
Organization
Faculty of Science and Forestry, Department of Physics and Mathematics
istvan.prause@uef.fi
Phone
+358 50 570 2143
Teaching Activities
Kombinatoriikan alkeet [Basics of combinatorics] (Spring 2022, period 4)
Real analysis in Several Variables (Spring 2022, period 3-4)
LaTeX-kurssi (LaTeX course, Fall 2021 period 1)
Todennäköisyyslaskenta a, Todennäköisyyslaskenta b (Probability calculus a/b, Spring 2021 period 3-4)
Real analysis in Several Variables (Spring 2021 period 3-4)
Research groups and research projects
Conformal and geometric analysis, quasiconformal methods, complex analysis
Limit shape phenomena in statistical mechanics: dimer model, five- and six-vertex model, random Young tableaux etc.
Holomorphic motions and their applications to analysis and dynamics; holomorphic interpolation
Multifractal analysis and boundary behaviour of conformal maps
- 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
- 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
- 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
- Dimer models and conformal structures (with Kari Astala, Erik Duse and Xiao Zhong), arXiv:2004.02599, 2020
- The genus-zero five-vertex model (with Rick Kenyon), to appear in Probability and Mathematical Physics, arXiv:2101.04195, 2021
- Gradient variational problems in R2 (with Rick Kenyon), to appear in Duke Math. J., arXiv:2006.01219, 2020
- On mappings of finite distortion that are quasiconformal in the unit disk (with Olli Hirviniemi, Lauri Hitruhin and Eero Saksman), to appear in J. Anal. Math., arXiv:2104.10961, 2021
- 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
- Stretching and rotation of planar quasiconformal mappings on a line (with Olli Hirviniemi and Eero Saksman), Potential Anal., arXiv:2007.07735, 2021
- Quasidisks and twisting of the Riemann map, Int. Math. Res. Not. IMRN (7), 2019, 1936–1954, arXiv:1611.06734
- 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
- Asymptotic variance of the Beurling transform (with Kari Astala, Oleg Ivrii and Antti Perälä), GAFA 25 (6), 2015, 1647–1687, arXiv:1502.00459
- 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
- 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
- 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
- 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
- Hausdorff measure of quasicircles (with Xavier Tolsa and Ignacio Uriarte-Tuero), Adv. Math. 229 (2), 2012, 1313–1328, arXiv:0912.3365
- Quasisymmetric distortion spectrum (with Stas Smirnov), Bull. London Math. Soc. 43 (2), 2011, 267–277, arXiv:0910.4723
- Flatness properties of quasispheres, Comput. Methods Funct. Theory 7, 2007, 527–541.
- On distortion of Hausdorff measures under quasiconformal mappings, Conform. Geom. Dyn. 11, 2007, 219–223.
- A remark on quasiconformal dimension distortion on the line, Ann. Acad. Sci. Fenn. Math. 32, 2007 no. 2, 341–352.
Selected talks
Limit shapes
Holomorphic interpolation
Multifractal spectra
Publications and preprints
Submitted
Published papers (incl. accepted)
Research groups - UEF
Links
Publications
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Hirviniemi, Olli; Prause, István; Saksman, Eero. 2021. Stretching and Rotation of Planar Quasiconformal Mappings on a Line Potential analysis Published online: 13 December 2021: 1 - 11. 2021
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Hirviniemi, Olli; Prause, István; Saksmann, Eero. 2021. Localized regularity of planar maps of finite distortion Revista matematica iberoamericana 2022; 38 2: 615-634. 2021