Siegfried Graf

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All published works

Action	Title	Year	Authors
+	The local quantization behavior of absolutely continuous probabilities	2012	Siegfried Graf Harald Luschgy Gilles Pagès
+	Quantization for Probability Measures in the Prokhorov Metric	2009	Siegfried Graf Harald Luschgy
+ PDF Chat	Distortion mismatch in the quantization of probability measures	2008	Siegfried Graf Harald Luschgy Gilles Pagès
+	Optimal quantizers for Radon random vectors in a Banach space	2006	Siegfried Graf Harald Luschgy Gilles Pagès
+	Quantization of probability distributions under norm-based distortion measures II: Self-similar distributions	2005	Sylvain Delattre Siegfried Graf Harald Luschgy Gilles Pagès
+	The point density measure in the quantization of self-similar probabilities	2005	Siegfried Graf Harald Luschgy
+	Sharp asymptotics of the metric entropy for ellipsoids	2004	Siegfried Graf Harald Luschgy
+	Quantization for probability measures with respect to the geometric mean error	2004	Siegfried Graf Harald Luschgy
+	Functional Quantization and Small Ball Probabilities for Gaussian Processes	2003	Siegfried Graf Harald Luschgy Gilles Pagès
+ PDF Chat	Rates of convergence for the empirical quantization error	2002	Siegfried Graf Harald Luschgy
+	The Quantization of the Cantor Distribution	1997	Siegfried Graf Harald Luschgy
+	On Bandt's tangential distribution for self-similar measures	1995	Siegfried Graf
+	Self-similar sets and measures	1994	Siegfried Graf
+	Self-Similar Sets 7. A Characterization of Self-Similar Fractals with Positive Hausdorff Measure	1992	Christoph Bandt Siegfried Graf
+	Barnsley's scheme for the fractal encoding of images	1992	Siegfried Graf
+ PDF Chat	Self-similar sets. VII. A characterization of self-similar fractals with positive Hausdorff measure	1992	Christoph Bandt Siegfried Graf
+ PDF Chat	The average error of quadrature formulas for functions of bounded variation	1990	Siegfried Graf Erich Novak
+	Bisection is not optimal on the average	1989	Siegfried Graf Erich Novak Anargyros Papageorgiou
+	The exact Hausdorff dimension in random recursive constructions	1988	Siegfried Graf R. Daniel Mauldin Stanley C. Williams
+ PDF Chat	Statistically self-similar fractals	1987	Siegfried Graf
+	Exact Hausdorff dimension in random recursive constructions	1987	R. Daniel Mauldin Siegfried Graf Stanley C. Williams
+	Random homeomorphisms	1986	Siegfried Graf R. Daniel Mauldin S. C. Williams
+	Measurable One-to-One Selections and Transition Kernels	1985	Siegfried Graf R. Daniel Mauldin
+	Isometries of measure algebras	1984	Siegfried Graf G. Mägerl
+	Random homeomorphisms	1984	Siegfried Graf R. Daniel Mauldin S. C. Williams
+ PDF Chat	Homomorphism-Compact Spaces	1983	Abdel G. Babiker Siegfried Graf
+ PDF Chat	Realizing automorphisms of quotients of product<i>σ</i>-fields	1982	Siegfried Graf
+	Disintegration of a measure with respect to a correspondence	1982	Siegfried Graf G. Mägerl
+ PDF Chat	Baire sections for group homomorphisms	1982	Siegfried Graf G. Mägerl
+	Selected results on measurable selections	1982	Siegfried Graf
+	A note on realizing homomorphisms of category algebras	1981	Siegfried Graf
+	Induced ?-homomorphisms and a parametrization of measurable sections via extremal preimage measures	1980	Siegfried Graf
+	Measurable weak selections	1980	Siegfried Graf
+	A measurable selection theorem for compact-valued maps	1979	Siegfried Graf
+	On the existence of lower densities in noncomplete measure spaces	1976	Siegfried Graf Heinrich von Weizsäcker
+ PDF Chat	On the existence of strong liftings in second countable topological spaces	1975	Siegfried Graf

Common Coauthors

Coauthor	Papers Together
Harald Luschgy	10
Gilles Pagès	5
R. Daniel Mauldin	5
G. Mägerl	3
Stanley C. Williams	2
Erich Novak	2
Christoph Bandt	2
S. C. Williams	2
Heinrich von Weizsäcker	1
Sylvain Delattre	1
Abdel G. Babiker	1
Harald Luschgy	1
Anargyros Papageorgiou	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Topics in the Theory of Lifting	1969	A. Ionescu Tulcea C. Ionescu Tulcea	8
+	Asymptotic quantization error of continuous signals and the quantization dimension	1982	P. Zádor	5
+	<scp>A. I. Tulcea</scp> and<scp> C. I. Tulcea, Topics</scp> in the Theory of Lifting. (Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 48). X + 188 S. Berlin/Heidelberg/New York 1969. Springer‐Verlag. Preis geb. DM 36,‐ .	1970	Albrecht Pietsch	5
+	Multidimensional asymptotic quantization theory with&lt;tex&gt;r&lt;/tex&gt;th power distortion measures	1982	J.A. Bucklew G.L. Wise	5
+ PDF Chat	On the existence of strong liftings in second countable topological spaces	1975	Siegfried Graf	4
+ PDF Chat	Sharp asymptotics of the functional quantization problem for Gaussian processes	2004	Harald Luschgy Gilles Pagès	4
+	Functional quantization of Gaussian processes	2002	Harald Luschgy Gilles Pagès	4
+	A continuous selection theorem for extremally disconnected spaces	1969	Morisuke Hasumi	3
+ PDF Chat	Probability Measures on Metric Spaces.	1968	Б. Л. С. Пракаса Рао K. R. Parthasarathy	3
+	Random homeomorphisms	1986	Siegfried Graf R. Daniel Mauldin S. C. Williams	3
+	A space quantization method for numerical integration	1998	Gilles Pagès	3
+ PDF Chat	On a theorem of von Neumann	1958	Dorothy Maharam	3
+	The theory of analytic spaces	1970	J. Hoffmann-Jørgensen	3
+ PDF Chat	Rates of convergence for the empirical quantization error	2002	Siegfried Graf Harald Luschgy	3
+ PDF Chat	Measure, topology, and fractal geometry	1991	Jillian L. Ewing F. W. Gehring Paul R. Halmos	2
+ PDF Chat	On the uniqueness of pre-image measures	1977	J�rgen Lehn Gerhard M�gerl	2
+	The Choquet theorem and stochastic equations	1975	М. П. Ершов	2
+	Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous functions	1968	A. Pełczyński	2
+	Sharp asymptotics of the Kolmogorov entropy for Gaussian measures	2003	Harald Luschgy Gilles Pagès	2
+	Optimal Quantization Methods and Applications to Numerical Problems in Finance	2004	Gilles Pagès Huyên Pham Jacques Printems	2
+	On Bandt's tangential distribution for self-similar measures	1995	Siegfried Graf	2
+	Measure-Preserving Homeomorphisms and Metrical Transitivity	1941	John C. Oxtoby Stanislaw M. Ulam	2
+ PDF Chat	Measure, Topology, and Fractal Geometry	1990	Gerald A. Edgar	2
+	Additive functions of intervals and Hausdorff measure	1946	P. A. P. Morán	2
+ PDF Chat	Automorphisms of baire measures on generalized cubes. II	1972	J. R. Choksi	2
+	The geometry of fractal sets	1985	K. J. Falconer	2
+	Survey of Measurable Selection Theorems	1977	Daniel H. Wagner	2
+	On the existence of a lifting commuting with the left translations of an arbitrary locally compact group	1967	A. Ionescu Tulcea C. Ionescu Tulcea	2
+ PDF Chat	The dimension of the support of a random distribution function	1964	John R. Kinney T. S. Pitcher	2
+	A measurable selection theorem for compact-valued maps	1979	Siegfried Graf	2
+ PDF Chat	Random distribution functions	1963	Lester E. Dubins David A. Freedman	2
+ PDF Chat	An elementary proof of the lifting theorem	1974	Tim Traynor	2
+	None	2003	Steffen Dereich Franz Fehringer Anis Matoussi Michael Scheutzow	2
+ PDF Chat	Automorphisms of products of measure spaces	1958	Dorothy Maharam	2
+	A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations	1952	Herman Chernoff	2
+ PDF Chat	Extension of continuous functions on topological semigroups	1975	Paul Milnes	1
+ PDF Chat	Whitney continua in the hyperspace<i>C</i>(<i>X</i>)	1975	James L. Rogers	1
+	Banach Lattices and Positive Operators	1974	Helmut Schaefer	1
+ PDF Chat	Realizing isomorphisms of category algebras	1978	Dorothy Maharam A. H. Stone	1
+	Probability in Banach Spaces: Isoperimetry and Processes	1991	Michel Ledoux Michel Talagrand	1
+ PDF Chat	Semimodularity in the completion of a poset	1975	Barbara Jeffcott William Spears	1
+	Steinhaus's geometric location problem for random samples in the plane	1982	Dorit S. Hochbaum John Steele	1
+	Introduction to Topological Groups	1975	Paul Higgins	1
+	Entropy, Compactness and the Approximation of Operators	1990	Bernd Carl Irmtraud Stephani	1
+	Bisection is optimal	1982	K. Sikorski	1
+ PDF Chat	Continous measure-preserving maps onto Peano spaces	1975	Alan H. Schoenfeld	1
+	DISINTEGRATION OF MEASURES AND LIFTING	1973	S. D. Chatterji	1
+	Introduction to Banach Spaces And Their Geometry	1982	Bernard Beauzamy	1
+ PDF Chat	Approximation, Metric Entropy and Small Ball Estimates for Gaussian Measures	1999	Wenbo V. Li Werner Linde	1
+	Measurable weak selections	1980	Siegfried Graf	1