Wiki source code of Istvan+Prause's+papers
Last modified by iprause@helsinki_fi on 2024/02/13 07:33
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| author | version | line-number | content |
|---|---|---|---|
| 1 | === Research topics === | ||
| 2 | |||
| 3 | Conformal and geometric analysis, quasiconformal methods, complex analysis | ||
| 4 | Holomorphic motions and their applications to analysis and dynamics; holomorphic interpolation | ||
| 5 | Multifractal analysis and boundary behaviour of conformal maps | ||
| 6 | Limit shape phenomena in statistical mechanics: dimer model, five- and six-vertex model, random Young tableaux etc. | ||
| 7 | |||
| 8 | === Publications and preprints === | ||
| 9 | |||
| 10 | * 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>>url:https://arxiv.org/abs/2104.10961||shape="rect"]], 2021 | ||
| 11 | * The genus-zero five-vertex model (with Rick Kenyon), [[arXiv:2101.04195>>url:https://arxiv.org/abs/2101.04195||shape="rect"]], 2021 | ||
| 12 | * Gradient variational problems in R^^2^^ (with Rick Kenyon), to appear in Duke Math. J., [[arXiv:2006.01219>>url:https://arxiv.org/abs/2006.01219||style="text-decoration: none;" shape="rect"]], 2020 | ||
| 13 | * Dimer models and conformal structures (with Kari Astala, Erik Duse and Xiao Zhong), [[arXiv:2004.02599>>url:https://arxiv.org/abs/2004.02599||shape="rect"]], 2020 | ||
| 14 | * Stretching and rotation of planar quasiconformal mappings on a line (with Olli Hirviniemi and Eero Saksman), to appear in Potential Anal., [[arXiv:2007.07735>>url:https://arxiv.org/abs/2007.07735||shape="rect"]], 2020 | ||
| 15 | * Localized regularity of planar maps of finite distortion (with Olli Hirviniemi and Eero Saksman), [[Rev. Mat. Iberoam. (online first)>>url:https://doi.org/10.4171/RMI/1297||shape="rect"]], [[arXiv:2001.04173>>url:https://arxiv.org/abs/2001.04173||shape="rect"]], 2020 | ||
| 16 | * Quasidisks and twisting of the Riemann map, [[Int. Math. Res. Not. IMRN (7)>>url:https://doi.org/10.1093/imrn/rnx173||shape="rect"]], 2019, (% style="color: rgb(0,0,0);" %)1936~-~-1954,(%%) [[arXiv:1611.06734>>url:https://arxiv.org/abs/1611.06734||shape="rect"]] | ||
| 17 | * Quasiconformal extensions, Loewner chains, and the lambda-Lemma (with Pavel Gumenyuk), [[Anal. Math. Phys. (8)>>url:https://doi.org/10.1007/s13324-018-0247-3||shape="rect"]], 2018, (% style="color: rgb(0,0,0);" %)621~-~-635(%%), A. Vasiliev Memorial Volume, [[arXiv:1712.08632>>url:https://arxiv.org/abs/1712.08632||shape="rect"]] | ||
| 18 | * Asymptotic variance of the Beurling transform (with Kari Astala, Oleg Ivrii and Antti Perälä), [[GAFA 25 (6)>>url:http://dx.doi.org/10.1007/s00039-015-0347-2||shape="rect"]], 2015, 1647~-~-1687, [[arXiv:1502.00459>>url:http://arxiv.org/abs/1502.00459||shape="rect"]] | ||
| 19 | * A hunt for sharp L^p-estimates and rank-one convex variational integrals (with Kari Astala, Tadeusz Iwaniec and Eero Saksman), [[Filomat 29 (2)>>url:http://dx.doi.org/10.2298/FIL1502245A||shape="rect"]], 2015, 245~-~-261, [[arXiv:1403.1095>>url:http://arxiv.org/abs/1403.1095||shape="rect"]] | ||
| 20 | * On a Hölder constant in the theory of quasiconformal mappings, [[Comput. Methods. Funct. Theory>>url:http://dx.doi.org/10.1007/s40315-014-0060-4||shape="rect"]] 14, 2014, 483~-~-486, F.W. Gehring Memorial Volume, [[arXiv:1309.6748>>url:http://arxiv.org/abs/1309.6748||shape="rect"]] | ||
| 21 | * Bilipschitz and quasiconformal rotation, stretching and multifractal spectra (with Kari Astala, Tadeusz Iwaniec and Eero Saksman), [[Publ. Math. Inst. Hautes Études Sci. 121 (1), >>url:http://dx.doi.org/10.1007/s10240-014-0065-6||shape="rect"]]2015, 113~-~-154, [[arXiv:1303.2325>>url:http://arxiv.org/abs/1303.2325||shape="rect"]] | ||
| 22 | * Burkholder integrals, Morrey's problem and quasiconformal mappings (with Kari Astala, Tadeusz Iwaniec and Eero Saksman), | ||
| 23 | [[J. Amer. Math. Soc. 25 (2)>>url:http://dx.doi.org/10.1090/S0894-0347-2011-00718-2||shape="rect"]], 2012, 507~-~-531, [[arXiv:1012.0504>>url:http://arxiv.org/abs/1012.0504||shape="rect"]] | ||
| 24 | * Hausdorff measure of quasicircles (with Xavier Tolsa and Ignacio Uriarte-Tuero), [[Adv. Math. 229 (2)>>url:http://dx.doi.org/10.1016/j.aim.2011.11.001||shape="rect"]], 2012, 1313~-~-1328, [[arXiv:0912.3365>>url:http://arxiv.org/abs/0912.3365||shape="rect"]] | ||
| 25 | * Quasisymmetric distortion spectrum (with Stas Smirnov), [[Bull. London Math. Soc. 43 (2)>>url:https://doi.org/10.1112/blms/bdq098||shape="rect"]], 2011, 267~-~-277, [[arXiv:0910.4723>>url:http://arxiv.org/abs/0910.4723||shape="rect"]] | ||
| 26 | * Flatness properties of quasispheres, [[Comput. Methods Funct. Theory 7>>url:https://doi.org/10.1007/BF03321661||shape="rect"]], 2007, 527–541. | ||
| 27 | * On distortion of Hausdorff measures under quasiconformal mappings, [[Conform. Geom. Dyn. 11>>url:https://doi.org/10.1090/S1088-4173-07-00171-3||shape="rect"]], 2007, 219~-~-223. | ||
| 28 | * A remark on quasiconformal dimension distortion on the line, [[Ann. Acad. Sci. Fenn. Math. 32>>url:http://www.acadsci.fi/mathematica/Vol32/Prause.html||shape="rect"]], 2007 no. 2, 341~-~-352. | ||
| 29 | |||
| 30 | === Slides from selected talks === | ||
| 31 | |||
| 32 | * [[Integrability of limit shapes>>url:https://stanford.edu/~~nap/files/11-03-2021-istvan.pdf||shape="rect"]], Solvable lattice models seminar, November 2021 ([[video>>url:https://youtu.be/PNP6Dl0hsG0||shape="rect"]]) | ||
| 33 | \\ | ||
| 34 | * [[Probabilistic limit shapes and harmonic functions>>attach:prause - CAvid.pdf]], CAvid seminar, October 2021 ([[video>>url:https://mediacentral.ucl.ac.uk/Play/71057/#!||shape="rect"]]) | ||
| 35 | \\ | ||
| 36 | * [[Random tilings, arctic curves and a Beltrami equation>>attach:oulu-web.pdf]], Finnish Mathematical Days, Oulu, January 2020 | ||
| 37 | \\ | ||
| 38 | * [[Schwarz lemma and quasiconformal mappings>>attach:london-web.pdf]], Analysis aspects of dynamics, Imperial College, London, UK, May 2018 | ||
| 39 | \\ | ||
| 40 | * [[Arctic curves beyond the arctic circle>>url:http://www.fourier2017.ttk.pte.hu/files/slides/Prause.pdf||style="letter-spacing: 0.0px;" shape="rect"]], 6th Workshop on Fourier Analysis and Related Fields, Pécs, Hungary, August 2017 | ||
| 41 | \\ | ||
| 42 | * [[Quasidisks and twisting of the Riemann map>>attach:oaxaca-web.pdf]], Analysis and Dynamics, BIRS-CMO Workshop, Oaxaca, Mexico, September 2016 ([[video>>url:http://www.birs.ca/events/2016/5-day-workshops/16w5129/videos/watch/201609201500-Prause.html||shape="rect"]]) | ||
| 43 | \\ | ||
| 44 | * [[Holomorphic interpolation: from dynamics to analysis>>url:http://bcc.impan.pl/15Simons-I/uploads/Prause.pdf||shape="rect"]], Topics in Analysis and Holomorphic Dynamics, Simons Semester in Banach Center, Warsaw, Poland, September 2015 | ||
| 45 | \\ | ||
| 46 | * [[Asymptotic variance of the Beurling transform>>attach:chales-web.pdf]], Workshop on Conformal Methods in Analysis, Random Structures and Dynamics, | ||
| 47 | Chales, France, April 2015 | ||
| 48 | \\ | ||
| 49 | * [[Area distortion, quasicircles and harmonic measure>>url:http://helper.ipam.ucla.edu/publications/iagws4/iagws4_10664.pdf||shape="rect"]], Quasiconformal Geometry and Elliptic PDEs, | ||
| 50 | IPAM, Los Angeles, USA, May 2013 ([[video>>url:http://www.ipam.ucla.edu/abstract/?tid=10664&pcode=IAGWS4||shape="rect"]]) | ||
| 51 | \\ | ||
| 52 | * [[Bilipschitz rotation versus quasiconformal stretching>>url:http://webpages.ull.es/users/hcaa2012/media/ficheros/prause.pdf||shape="rect"]], Harmonic and Complex Analysis and its Applications (HCAA), | ||
| 53 | Puerto de la Cruz, Tenerife, Spain, March 2012 | ||
| 54 | |||
| 55 | * [[Burkholder integrals, Morrey's problem and quasiconformal mappings>>attach:houston.pdf]], | ||
| 56 | Ahlfors-Bers Colloquium, Houston, USA, March 2011 | ||
| 57 | |||
| 58 | * [[Quasisymmetric distortion spectrum>>attach:seillac.pdf]], Conformal Methods in Analysis and Dynamics (CODY), Seillac, France, May 2010 | ||
| 59 | \\ |