Kari Astala

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All published works

Action	Title	Year	Authors
+	Global smoothness of quasiconformal mappings in the Triebel-Lizorkin scale	2024	Kari Astala Martí Prats Eero Saksman
+ PDF Chat	Lower semicontinuity, Stoilow factorization and principal maps	2024	Kari Astala Daniel Faraco André Guerra Aleksis Koski Jan Kristensen
+	Lower semicontinuity, Stoilow factorization and principal maps	2024	Kari Astala Daniel Faraco André Guerra Aleksis Koski Jan Kristensen
+	The local Burkholder functional, quasiconvexity and Geometric Function Theory	2023	Kari Astala Daniel Faraco André Guerra Aleksis Koski Jan Kristensen
+ PDF	Homogenization of iterated singular integrals with applications to random quasiconformal maps	2022	Kari Astala Steffen Rohde Eero Saksman Terence Tao
+	Improved Hölder regularity for strongly elliptic PDEs	2020	Kari Astala Albert Clop Daniel Faraco Jarmo Jääskeläinen Aleksis Koski
+	Dimer Models and Conformal Structures	2020	Kari Astala Erik Duse István Prause Xiao Zhong
+ PDF Chat	Manifolds of quasiconformal mappings and the nonlinear Beltrami equation	2019	Kari Astala Albert Clop Daniel Faraco Jarmo Jääskeläinen
+	Improved H\"older regularity for strongly elliptic PDEs	2019	Kari Astala Albert Clop Daniel Faraco Jarmo Jääskeläinen Aleksis Koski
+ PDF Chat	Improved H\"older regularity for strongly elliptic PDEs	2019	Kari Astala Albert Clop Daniel Faraco Jarmo Jääskeläinen Aleksis Koski
+	Global smoothness of quasiconformal mappings in the Triebel-Lizorkin scale	2019	Kari Astala Martí Prats Eero Saksman
+	Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian	2016	Jarmo Jääskeläinen Aleksis Koski Kari Astala Albert Clop Daniel Faraco
+ PDF Chat	The borderlines of invisibility and visibility in Calderón’s inverse problem	2016	Kari Astala Matti Lassas Lassi Païvärinta
+	Unbounded potential recovery in the plane	2016	Kari Astala Daniel Faraco Keith M. Rogers
+ PDF Chat	Asymptotic Variance of the Beurling Transform	2015	Kari Astala Oleg Ivrii Antti Perälä István Prause
+ PDF Chat	Chord-arc curves and the Beurling transform	2015	Kari Astala María José González
+ PDF Chat	On Plancherel's identity for a two-dimensional scattering transform	2015	Kari Astala Daniel Faraco Keith M. Rogers
+	On Pavlovic’s Theorem in Space	2015	Kari Astala Vesna Manojlović
+	On Plancherel's identity for a two-dimensional scattering transform	2015	Kari Astala Daniel Faraco Keith M. Rogers
+	Holonomic D-modules on abelian varieties . Finite basis for analytic multiple gaps . Partial regularity for optimal transport maps . Bilipschitz and quasiconformal rotation, stretching and multifractal spectra . Quadratic differentials as stability conditions . Knot state asymptotics I: AJ conjecture and abelian representations . Knot state asymptotics II: witten conjecture and irreducible representations . Rigidity of generic singularities of mean curvature flow	2015	Christian Schnell Antonio Avilés Stevo Todorčević Guido De Philippis Alessio Figalli Kari Astala Tom Bridgeland Ivan Smith Laurent Charles Julien Marché
+ PDF	A hunt for sharp Lp-estimates and rank-one convex variational integrals	2015	Kari Astala Tadeusz Iwaniec István Prause Eero Saksman
+	On Plancherel's identity for a two-dimensional scattering transform	2015	Kari Astala Daniel Faraco Keith D. Rogers
+ PDF Chat	Bilipschitz and quasiconformal rotation, stretching and multifractal spectra	2014	Kari Astala Tadeusz Iwaniec István Prause Eero Saksman
+ PDF Chat	Nonlinear Fourier analysis for discontinuous conductivities: Computational results	2014	Kari Astala Lassi Païvärinta Juan Manuel Reyes Samuli Siltanen
+	Recovery of the Dirichlet-to-Neumann map from scattering data in the plane (Harmonic Analysis and Nonlinear Partial Differential Equations)	2014	Kari Astala Daniel Faraco Keith M. Rogers
+	Pavlovic's theorem in space	2014	Kari Astala Vesna Manojlović
+	Rough Potential Recovery in the Plane	2013	Kari Astala Daniel Faraco Keith M. Rogers
+ PDF	Quasiconformal distortion of Riesz capacities and Hausdorff measures in the plane	2013	Kari Astala Albert Clop Xavier Tolsa Ignacio Uriarte-Tuero Joan Verdera
+	Burkholder integrals, Morrey’s problem and quasiconformal mappings	2011	Kari Astala Tadeusz Iwaniec István Prause Eero Saksman
+ PDF Chat	Uniqueness of Normalized Homeomorphic Solutions to Nonlinear Beltrami Equations	2011	Kari Astala Albert Clop Daniel Faraco Jarmo Jääskeläinen László Székelyhidi
+ PDF	Random conformal weldings	2011	Kari Astala A. Kupiainen Eero Saksman Peter W. Jones
+	Direct electrical impedance tomography for nonsmooth conductivities	2011	Kari Astala Jennifer L. Mueller Lassi Païvärinta Allan Perämäki Samuli Siltanen
+ PDF	H<sup>p</sup>-theory for Quasiconformal Mappings	2011	Kari Astala Pekka Koskela
+	Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations	2010	Kari Astala Albert Clop Daniel Faraco Jarmo Jääskeläinen László Székelyhidi
+ PDF	Random curves by conformal welding	2010	Kari Astala Peter W. Jones A. Kupiainen Eero Saksman
+	Quasiconformal distortion of Riesz capacities and Hausdorff measures in the plane	2010	Kari Astala Albert Clop Xavier Tolsa Ignacio Uriarte-Tuero Joan Verdera
+	Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations	2010	Kari Astala Albert Clop Daniel Faraco Jarmo Jääskeläinen László Székelyhidi
+	Numerical computation of complex geometrical optics solutions to the conductivity equation	2009	Kari Astala Jennifer L. Mueller Lassi Païvärinta Samuli Siltanen
+ PDF	Convex integration and the Lp theory of elliptic equations	2009	Kari Astala Daniel Faraco László Székelyhidi
+	Deformations of Annuli with Smallest Mean Distortion	2009	Kari Astala Tadeusz Iwaniec Gaven Martin
+ PDF	Optimal regularity for planar mappings of finite distortion	2009	Kari Astala James T. Gill Steffen Rohde Eero Saksman
+	Random Curves by Conformal Welding	2009	Kari Astala Peter W. Jones A. Kupiainen Eero Saksman
+	Random Conformal Weldings	2009	Kari Astala Peter W. Jones A. Kupiainen Eero Saksman
+	Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48)	2008	Kari Astala Tadeusz Iwaniec Gaven Martin
+ PDF	Distortion of Hausdorff measures and improved Painlevé removability for quasiregular mappings	2008	Kari Astala Albert Clop Jaume Mateu Joan Orobitg Ignacio Uriarte-Tuero
+	Homeomorphic Solutions to Reduced Beltrami Equations	2008	Kari Astala Jarmo Jääskeläinen
+	Optimal regularity for planar mappings of finite distortion	2008	Kari Astala James T. Gill Steffen Rohde Eero Saksman
+ PDF	Monotone Maps of Rn are Quasiconformal	2008	Kari Astala Tadeusz Iwaniec Gaven Martin
+	Improved Painlevé removability for bounded planar quasiregular mappings	2007	Kari Astala Albert Clop Joan Mateu Joan Orobitg Ignacio Uriarte-Tuero
+	Pucci's conjecture and the Alexandrov inequality for elliptic PDEs in the plane	2006	Kari Astala Tadeusz Iwaniec Gaven Martin
+	A boundary integral equation for Calderón's inverse conductivity problem	2006	Kari Astala Lassi Païvärinta
+ PDF	Calderón’s inverse conductivity problem in the plane	2006	Kari Astala Lassi Païvärinta
+	Distortion of Hausdorff measures and improved Painlevé removability for quasiregular mappings	2006	Kari Astala Albert Clop Joan Mateu Joan Orobitg Ignacio Uriarte-Tuero
+ PDF	Extremal mappings of finite distortion	2005	Kari Astala Tadeusz Iwaniec Gaven Martin Jani Onninen
+ PDF Chat	Calderóns' Inverse Problem for Anisotropic Conductivity in the Plane	2005	Kari Astala Lassi Païvärinta Matti Lassas
+	Calderon's inverse problem for anisotropic conductivity in the plane	2004	Kari Astala Matti Lassas Lassi Païvärinta
+	Composites and quasiconformal mappings: new optimal bounds in two dimensions	2003	Kari Astala Vincenzo Nesi
+	Quasiregular mappings and Young measures	2002	Kari Astala Daniel Faraco
+	Quasiregular mappings and Young measures	2002	Kari Astala Daniel Faraco
+	Quasiconformal mappings with Sobolev boundary values	2002	Kari Astala Mario Bonk Juha Heinonen
+	Beltrami operators in the plane	2001	Kari Astala Tadeusz Iwaniec Eero Saksman
+	Mappings of BMO–bounded distortion	2000	Kari Astala Tadeusz Iwaniec Pekka Koskela Gaven Martin
+	On Quasiconformal Mappings and 2‐Dimensional GClosure Problems	1998	Kari Astala Markku Miettinen
+	Recent Connections and Applications of Planar Quasiconformal Mappings	1998	Kari Astala
+	Analytic aspects of quasiconformality	1998	Kari Astala
+	Planar Quasiconformal Mappings; Deformations and Interactions	1998	Kari Astala
+	The finite Hilbert transform in weighted spaces	1996	Kari Astala Lassi Païvärinta Eero Saksman
+ PDF	Rectifiability in Teichmüller theory	1995	Kari Astala Michel Zinsmeister
+	Holomorphic families of quasi-Fuchsian groups	1994	Kari Astala Michel Zinsmeister
+ PDF	Area distortion of quasiconformal mappings	1994	Kari Astala
+	Lipschitz classes and the Hardy-Littlewood property	1993	Kari Astala Kari Hag Per Hag Vesa Lappalainen
+	Injectivity, the BMO norm and the universal Teichmüller space	1993	Kari Astala F. W. Gehring
+	Quasiconformal mappings and global integrability of the derivative	1991	Kari Astala Pekka Koskela
+	Teichm�ller spaces and BMOA	1991	Kari Astala Michel Zinsmeister
+	Seminorms related to weak compactness and to Tauberian operators	1990	Kari Astala Hans-Olav Tylli
+ PDF	Crickets, zippers and the Bers universal Teichmüller space	1990	Kari Astala F. W. Gehring
+ PDF	Calderón's Problem for Lipschitz Classes and the Dimension of Quasicircles	1988	Kari Astala
+	On quasiconformal rigidity in space and plane	1988	Kari Astala Juha Heinonen
+	Selfsimilar zippers	1988	Kari Astala
+ PDF	(<i>s</i>)-nuclear sets and operators	1987	Kari Astala M. S. Ramanujan
+	On the bounded compact approximation property and measures of noncompactness	1987	Kari Astala Hans-Olav Tylli
+	On Semifredholm Operators and the Calkin Algebra	1986	Kari Astala Hans-Olav Tylli
+	Injectivity, the BMO norm and the universal Teichmüller space	1986	Kari Astala F. W. Gehring
+ PDF	Quasiconformal analogues of theorems of Koebe and Hardy-Littlewood.	1985	Kari Astala F. W. Gehring
+	Injectivity criteria and the quasidisk	1984	Kari Astala F. W. Gehring
+ PDF	A remark on quasiconformal mappings and BMO-functions.	1983	Kari Astala
+ PDF	On Peano's theorem in locally convex spaces	1982	Kari Astala

Common Coauthors

Coauthor	Papers Together
Daniel Faraco	20
Eero Saksman	14
Albert Clop	13
Tadeusz Iwaniec	10
Lassi Païvärinta	9
Jarmo Jääskeläinen	9
Aleksis Koski	7
Gaven Martin	6
Keith M. Rogers	5
István Prause	5
F. W. Gehring	5
Ignacio Uriarte-Tuero	5
Peter W. Jones	4
A. Kupiainen	4
André Guerra	3
Steffen Rohde	3
Jan Kristensen	3
László Székelyhidi	3
Joan Orobitg	3
Hans-Olav Tylli	3
Pekka Koskela	3
Samuli Siltanen	3
Michel Zinsmeister	3
Matti Lassas	3
James T. Gill	2
Jennifer L. Mueller	2
Martí Prats	2
Xavier Tolsa	2
Juha Heinonen	2
Joan Mateu	2
Vesna Manojlović	2
Joan Verdera	2
Juan Manuel Reyes	1
Per Hag	1
Allan Perämäki	1
Mario Bonk	1
Erik Duse	1
Alessio Figalli	1
Tom Bridgeland	1
Xiao Zhong	1
Antti Perälä	1
Jani Onninen	1
M. S. Ramanujan	1
Terence Tao	1
William P. Minicozzi	1
Keith D. Rogers	1
László Székelyhidi	1
Julien Marché	1
Vesa Lappalainen	1
Stevo Todorčević	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Area distortion of quasiconformal mappings	1994	Kari Astala	23
+	Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48)	2008	Kari Astala Tadeusz Iwaniec Gaven Martin	21
+	Geometric Function Theory and Non-linear Analysis	2001	Tadeusz Iwaniec Gaven Martin	12
+	Quasiconformal Mappings in the Plane	1973	Olli Lehto K. I. Virtanen	12
+	Beltrami operators in the plane	2001	Kari Astala Tadeusz Iwaniec Eero Saksman	10
+	Quasiconformal Mappings in the Plane:	1983	Olli Lehto K. I. Virtanen	10
+	Global Uniqueness for a Two-Dimensional Inverse Boundary Value Problem	1996	Adrian Nachman	9
+ PDF	Lectures on Quasiconformal Mappings	2006	Lars V. Ahlfors	9
+	Reconstructions From Boundary Measurements	1988	Adrian Nachman	8
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	8
+	Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions	1997	R. M. Brown R. M. Brown Günther Uhlmann Günther Uhlmann	8
+ PDF	Quasiregular mappings in even dimensions	1993	Tadeusz Iwaniec Gaven Martin	8
+ PDF	On the area distortion by quasiconformal mappings	1995	Alexandre Erëmenko David Hamilton	8
+	On the dynamics of rational maps	1983	Ricardo Mañé Paulo Sad Dennis Sullivan	8
+ PDF	Quasiconformal analogues of theorems of Koebe and Hardy-Littlewood.	1985	Kari Astala F. W. Gehring	7
+	Riemann's Mapping Theorem for Variable Metrics	1960	Lars V. Ahlfors Lipman Bers	7
+	Generalized solutions of a system of differential equations of the first order and elliptic type with discontinuous coefficients	2009	Bogdan Bojarski	7
+	Functions of bounded mean oscillation and quasiconformal mappings	1974	Hans Martin Reimann	7
+	A Global Uniqueness Theorem for an Inverse Boundary Value Problem	1987	John Sylvester Günther Uhlmann	7
+ PDF	Calderón’s inverse conductivity problem in the plane	2006	Kari Astala Lassi Païvärinta	7
+	GEOMETRIC FUNCTION THEORY AND NON-LINEAR ANALYSIS (Oxford Mathematical Monographs)	2002	Pekka Koskela	7
+ PDF	The Lp-integrability of the partial derivatives of A quasiconformal mapping	1973	F. W. Gehring	6
+	Composites and quasiconformal mappings: new optimal bounds in two dimensions	2003	Kari Astala Vincenzo Nesi	6
+	An implementation of the reconstruction algorithm of A Nachman for the 2D inverse conductivity problem	2000	Samuli Siltanen Jennifer L. Mueller David Isaacson	6
+	On the Area Distortion by Quasiconformal Mappings	1995	A. Eremenko D. H. Hamilton	6
+ PDF	Spirals and the universal Teichmüller space	1978	F. W. Gehring	6
+ PDF	Bounded Analytic Functions.	1982	Peter W. Jones John B. Garnett	6
+	Homeomorphisms with a given dilatation	1969	Olli Lehto	6
+ PDF	Repellers for real analytic maps	1982	David Ruelle	6
+ PDF	On an inverse boundary value problem	2006	Alberto P. Calderón	6
+ PDF	Tartar’s conjecture and localization of the quasiconvex hull in $ \mathbb{R}^{{2 \times 2}} $	2008	Daniel Faraco László Székelyhidi	6
+ PDF	An implementation of the reconstruction algorithm of A Nachman for the 2D inverse conductivity problem	2001	Samuli Siltanen Jennifer J. Mueller David Isaacson	6
+	Univalent Functions and Teichmüller Spaces	1987	Olli Lehto	6
+ PDF	Holomorphic motions and polynomial hulls	1991	Zbigniew Słodkowski	6
+	Electrical Impedance Tomography	1999	Margaret Cheney David Isaacson J.C. Newell	5
+ PDF	On mappings with integrable dilatation	1993	Tadeusz Iwaniec Vladimír Šverák	5
+ PDF	Analytic Capacity and Measure	1972	John B. Garnett	5
+	Lipschitz classes and quasiconformla mappings	1985	F. W. Gehring Олли Мартио	5
+ PDF Chat	Scaling limits of loop-erased random walks and uniform spanning trees	2000	Oded Schramm	5
+	Univalent functions and the Schwarzian derivative	1977	F. W. Gehring	5
+ PDF	The Calderón problem with partial data	2007	Carlos E. Kenig Johannes Sjöstrand Günther Uhlmann	5
+	Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms	1995	Rodrigo Bañuelos Gang Wang	5
+	Quasiconformally homogeneous domains	1976	F. W. Gehring Bruce Palka	5
+ PDF	On an absolute constant in the theory of quasi-conformal mappings.	1956	Akira Mori	5
+ PDF	Complex geometrical optics solutions for Lipschitz conductivities	2003	Lassi Païvärinta Alexander Panchenko Günther Uhlmann	5
+ PDF	Conformal Geometry and Quasiregular Mappings	1988	Матти Вуоринен	5
+	Quasiconformal solutions to certain first order systems and the proof of a conjecture of G. W. Milton	1997	Francesco Leonetti Vincenzo Nesi	5
+ PDF	The boundary correspondence under quasiconformal mappings	1956	Arne Beurling Lars V. Ahlfors	5
+ PDF	On the solutions of quasi-linear elliptic partial differential equations	1938	Charles B. Morrey	5
+	Area distortion under quasiconformal mappings	1966	F. W. Gehring Edgar Reich	5