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| The rate of convergence of the Walk on Spheres Algorithm | ||||
|   | Ilia Binder, Mark Braverman | |||
|     | Geometric and Functional Analysis, accepted | [pdf] | ||
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| Thurston equivalence to a rational map is decidable | ||||
|   | Sylvain Bonnot , Mark Braverman, Michael Yampolsky | |||
|     | Preprint | [arXiv] | ||
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| Computability of Brolin-Lyubich measure | ||||
|   | Ilia Binder, Mark Braverman, Cristobal Rojas, Michael Yampolsky | |||
|     | Submitted | [arXiv] | ||
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| The complexity of simulating Brownian Motion | ||||
|   | Ilia Binder, Mark Braverman | |||
|     | SODA 2009 | [pdf] [bib] | ||
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| Constructing Locally Connected Non-Computable Julia Sets | ||||
|   | Mark Braverman, Michael Yampolsky | |||
|     | Commun. Math. Physics, 291(2), 2009 | [pdf] [bib] | ||
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| Computability of Julia Sets | ||||
|   | Mark Braverman, Michael Yampolsky | |||
|     | Moscow Math. Journal 8(2), 2008 | [arXiv][bib] | ||
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| Derandomizing Euclidean random walks | ||||
|   | Ilia Binder, Mark Braverman | |||
|     | RANDOM 2007 | [pdf] [bib] | ||
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| Constructing Non-Computable Julia Sets | ||||
|   | Mark Braverman, Michael Yampolsky | |||
|     | STOC 2007 | [pdf] [bib] | ||
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| Filled Julia sets with empty interior are computable | ||||
|   | Ilia Binder, Mark Braverman, Michael Yampolsky | |||
|     | Journal of Found. of Comp. Math. 7(4), 2007 | [arXiv] [bib] | ||
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| On computational complexity of Riemann mapping | ||||
|   | Ilia Binder, Mark Braverman, Michael Yampolsky | |||
|     | Arkiv for Matematik, 45(2), 2007 | [arXiv][bib] | ||
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| Termination of Integer Linear Programs | ||||
|   | Mark Braverman | |||
|     | CAV (Computer-Aided Verification) 2006 | [pdf] [bib] | ||
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| Non-Computable Julia Sets | ||||
|   | Mark Braverman, Michael Yampolsky | |||
|     | Journ. Amer. Math. Soc. 19(3), 2006 | [arXiv][bib] | ||
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| Computing over the Reals: Foundations for Scientific Computing | ||||
|   | Mark Braverman, Stephen Cook | |||
|     | Notices of the AMS, 53(3), March 2006 | [arXiv] [bib] | ||
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| Parabolic Julia Sets are Polynomial Time Computable | ||||
|   | Mark Braverman | |||
|     | Nonlinearity 19, 2006 | [arXiv][bib] | ||
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| On computational complexity of Siegel Julia sets | ||||
|   | Ilia Binder, Mark Braverman, Michael Yampolsky | |||
|     | Commun. Math. Physics, 264(2), 2006 | [arXiv] [bib] | ||
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| On the Complexity of Real Functions | ||||
|   | Mark Braverman | |||
|     | FOCS 2005 | [pdf] [bib] | ||
|     | Full version | [arXiv] | ||
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| Hyperbolic Julia sets are poly-time computable | ||||
|   | Mark Braverman | |||
|     | CCA (Computability and Complexity in Analysis) 2004, ENTCS 120 | [pdf] [bib] | ||