Istvan  Prause

Istvan Prause

Senior Researcher

Department of Physics and Mathematics, Faculty of Science, Forestry and Technology

istvan.prause@uef.fi | +358 50 570 2143

0505702143
050 5702143
050 570 2143
+358 50 570 2143
+35850 570 2143
050 5702 143
+358 50 5702 143
+35850 5702 143
+358 50 5702143
+35850 5702143
+358505702143

Selected talks

Limit shapes

 

Holomorphic interpolation

 

Multifractal spectra

Publications and preprints

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.

Publications

5 items