| Publication | Date of Publication | Type |
|---|
| Renormalization of circle maps and smoothness of Arnold tongues | 2023-07-27 | Paper |
| Analytic linearization of conformal maps of the annulus | 2022-10-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5043651 | 2022-10-06 | Paper |
| Renormalization of analytic multicritical circle maps with bounded type rotation numbers | 2022-08-03 | Paper |
| Computability in harmonic analysis | 2022-06-03 | Paper |
| Computable Geometric Complex Analysis and Complex Dynamics | 2022-01-26 | Paper |
| Rigidity of analytic and smooth bi-cubic multicritical circle maps with bounded type rotation numbers | 2021-12-10 | Paper |
| Hyperbolicity of Renormalization for bi-cubic circle maps with bounded combinatorics | 2021-12-10 | Paper |
| Towards understanding the theoretical challenges of numerical modeling of dynamical systems | 2021-09-28 | Paper |
| Structural instability of semi-Siegel Hénon maps | 2021-08-23 | Paper |
| Renormalization and Siegel disks for complex Hénon maps | 2021-06-10 | Paper |
| KAM-renormalization and Herman rings for 2D maps | 2021-06-09 | Paper |
| Real quadratic Julia sets can have arbitrarily high complexity | 2021-03-23 | Paper |
| On computational complexity of Cremer Julia sets | 2021-01-25 | Paper |
| How to lose at Monte Carlo: a simple dynamical system whose typical statistical behavior is non-computable | 2021-01-19 | Paper |
| Computability in Harmonic Analysis | 2020-11-19 | Paper |
| Centralizers in mapping class groups and decidability of Thurston equivalence | 2020-11-04 | Paper |
| The Boundaries of Golden-Mean Siegel Disks in the Complex Quadratic Hénon Family Are Not Smooth | 2020-07-07 | Paper |
| Renormalization of almost commuting pairs | 2020-06-02 | Paper |
| Rigidity, universality, and hyperbolicity of renormalization for critical circle maps with non-integer exponents | 2020-04-28 | Paper |
| Carathéodory convergence and harmonic measure | 2019-11-27 | Paper |
| How to lose at Monte Carlo: a simple dynamical system whose typical statistical behavior is non computable | 2019-10-21 | Paper |
| Renormalization of bi-cubic circle maps | 2019-09-03 | Paper |
| Renormalization for unimodal maps with non-integer exponents | 2019-07-25 | Paper |
| Computational intractability of attractors in the real quadratic family | 2019-05-29 | Paper |
| Real quadratic Julia sets can have arbitrarily high complexity | 2019-04-11 | Paper |
| Non computable Mandelbrot-like sets for a one-parameter complex family | 2018-09-27 | Paper |
| Almost every real quadratic polynomial has a poly-time computable Julia set | 2018-09-27 | Paper |
| Renormalization of unicritical analytic circle maps | 2017-11-22 | Paper |
| Poly-time computability of the Feigenbaum Julia set | 2017-04-28 | Paper |
| Computable geometric complex analysis and complex dynamics | 2017-03-19 | Paper |
| Hyperbolicity of renormalization of circle maps with a break-type singularity | 2016-04-22 | Paper |
| Golden mean Siegel disk universality and renormalization | 2016-04-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2793548 | 2016-03-16 | Paper |
| Constructive geometrization of Thurston maps and decidability of Thurston equivalence | 2016-02-29 | Paper |
| Non-computable impressions of computable external rays of quadratic polynomials | 2015-03-31 | Paper |
| Fixed Point of the Parabolic Renormalization Operator | 2014-10-02 | Paper |
| Computable Carathéodory theory | 2014-09-08 | Paper |
| Thurston equivalence to a rational map is decidable | 2014-03-25 | Paper |
| Geometrization of postcritically finite branched coverings | 2012-12-08 | Paper |
| Computability of Brolin-Lyubich measure | 2011-12-13 | Paper |
| Geometrization of postcritically finite branched coverings (revised) | 2011-02-10 | Paper |
| On computational complexity of Siegel Julia sets | 2010-07-19 | Paper |
| Constructing locally connected non-computable Julia sets | 2010-01-11 | Paper |
| Mating non-renormalizable quadratic polynomials | 2009-09-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3600690 | 2009-02-05 | Paper |
| Constructing non-computable Julia sets | 2009-01-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3536047 | 2008-11-17 | Paper |
| On the computational complexity of the Riemann mapping | 2008-09-03 | Paper |
| Filled Julia sets with empty interior are computable | 2008-09-02 | Paper |
| Cylinder Renormalization of Siegel Disks | 2008-07-11 | Paper |
| Computability of Julia sets | 2008-07-10 | Paper |
| Non-computable Julia sets | 2006-05-17 | Paper |
| On computability of Julia sets: answers to questions of Milnor and Shub | 2006-04-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5702575 | 2005-11-02 | Paper |
| Complex a priori bounds revisited. | 2005-01-03 | Paper |
| On the eigenvalues of a renormalization operator | 2004-06-09 | Paper |
| Renormalization horseshoe for critical circle maps | 2003-12-16 | Paper |
| Hyperbolicity of renormalization of critical circle maps | 2003-09-26 | Paper |
| The attractor of renormalization and rigidity of towers of critical circle maps | 2001-08-09 | Paper |
| Geography of the cubic connectedness locus: Intertwining surgery | 2001-04-24 | Paper |
| Mating Siegel quadratic polynomials | 2000-11-21 | Paper |
| Complex bounds for renormalization of critical circle maps | 1999-08-19 | Paper |
| ON THE UPPER MAJORANT PROPERTY | 1998-12-09 | Paper |
| Dynamics of quadratic polynomials: complex bounds for real maps | 1997-10-20 | Paper |
