Publications - Computability and complexity in analysis and dynamics

Book: Computability of Julia Sets
Mark Braverman, Michael Yampolsky
  Springer, 2008
  [Amazon]   [Springer]

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

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