@article{17027,
author = {Dellnitz, Michael and Junge, Oliver and Thiere, Bianca},
issn = {1531-3492},
journal = {Discrete & Continuous Dynamical Systems - B},
number = {1531-3492_2001_1_125},
pages = {125--135},
title = {{The numerical detection of connecting orbits}},
doi = {10.3934/dcdsb.2001.1.125},
volume = {1},
year = {2001},
}
@inbook{16598,
author = {Froyland, Gary},
booktitle = {Nonlinear Dynamics and Statistics},
isbn = {9781461266488},
title = {{Extracting Dynamical Behavior via Markov Models}},
doi = {10.1007/978-1-4612-0177-9_12},
year = {2001},
}
@article{16601,
author = {Froyland, Gary and Junge, Oliver and Ochs, Gunter},
issn = {0167-2789},
journal = {Physica D: Nonlinear Phenomena},
pages = {68--84},
title = {{Rigorous computation of topological entropy with respect to a finite partition}},
doi = {10.1016/s0167-2789(01)00216-0},
year = {2001},
}
@inbook{16555,
author = {Dellnitz, Michael and Froyland, Gary and Junge, Oliver},
booktitle = {Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems},
isbn = {9783642625244},
title = {{The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems}},
doi = {10.1007/978-3-642-56589-2_7},
year = {2001},
}
@inproceedings{18152,
abstract = {Computing the spectral decomposition of a normal matrix is among the most frequent tasks to numerical mathematics. A vast range of methods are employed to do so, but all of them suffer from instabilities when applied to degenerate matrices, i.e., those having multiple eigenvalues. We investigate the spectral representation's effectivity properties on the sound formal basis of computable analysis. It turns out that in general the eigenvectors cannot be computed from a given matrix. If however the size of the matrix' spectrum (=number of different eigenvalues) is known in advance, it can be diagonalized effectively. Thus, in principle the spectral decomposition can be computed under remarkably weak non-degeneracy conditions.},
author = {Ziegler, Martin and Brattka, Vasco},
booktitle = {Proceedings of the 4th Workshop on Computability and Complexity in Analysis (CCA'2000)},
isbn = {9783540421979},
issn = {0302-9743},
pages = {378--388},
title = {{A Computable Spectral Theorem}},
doi = {10.1007/3-540-45335-0_23},
volume = {2064},
year = {2001},
}
@inproceedings{16492,
abstract = {We present a new output-sensitive rendering algorithm, the randomized z-buffer algorithm. It renders an image of an arbitrary three-dimensional scene consisting of triangular primitives by reconstruction from a dynamically chosen set of random surface sample points. This approach is independent of mesh connectivity and topology. The resulting rendering time grows only logarithmically with the numbers of triangles in the scene. We were able to render walkthroughs of scenes of up to 10^14 triangles at interactive frame rates. Automatic identification of low detail scene components ensures that the rendering speed of the randomized z-buffer cannot drop below that of conventional z-buffer rendering. Experimental and analytical evidence is given that the image quality is comparable to that of common approaches like z-buffer rendering. The precomputed data structures employed by the randomized z-buffer allow for interactive dynamic updates of the scene. Their memory requirements grow only linearly with the number of triangles and allow for a scene graph based instantiation scheme to further reduce memory consumption.},
author = {Wand, Michael and Fischer, Matthias and Peter, Ingmar and Meyer auf der Heide, Friedhelm and Straßer, Wolfgang},
booktitle = {Proceedings of the 28th annual conference on Computer graphics and interactive techniques - SIGGRAPH '01},
isbn = {158113374X},
title = {{The randomized z-buffer algorithm}},
doi = {10.1145/383259.383299},
year = {2001},
}
@misc{18378,
author = {Peckhaus, Volker},
booktitle = {Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 952.03068]},
title = {{Wehmeier, Kai F., “Consistent Fragments of Grundgesetze and the Existence of Non-logical Objects”, Synthese 121 (1999), 309–328}},
year = {2001},
}
@misc{18392,
author = {Peckhaus, Volker},
booktitle = {Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 970.03002]},
title = {{Pelletier, Francis Jeffry, “Did Frege Believe Frege’s Principle?”, Journal of Logic, Language, and Information 10 (2001), 87–114}},
year = {2001},
}
@misc{18380,
author = {Peckhaus, Volker},
booktitle = {Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 953.03005]},
title = {{Schirn, Matthias (Hg.), Frege: Importance and Legacy, Walter de Gruyter: Berlin 1996 (Perspectives in Analytical Philosophy; 13)}},
year = {2001},
}
@misc{18385,
author = {Peckhaus, Volker},
booktitle = {Zentralblatt für Mathematik und ihre Grenzgebiete [Zbl. 961.01021]},
title = {{Casti, John L./DePauli, Werner, Gödel: A Life of Logic, Perseus Publishing: Cambridge, Mass. 2000}},
year = {2001},
}