Gerhard Winkler 

Publications:

Selected Papers

  1. G. Winkler. Über die Integraldarstellung in konvexen nicht kompakten Mengen straffer Maße. Thesis, Mathematisches Institut der LMU München (January 1977), 83 pages
  2. G. Winkler. On the Integral Representation in Convex Noncompact Sets of Tight Measures. Math. Z. 158 (1978), 62-65
  3. H. v. Weizsäcker, G. Winkler. Integral Representation in the Set of Solutions of a Generalized Moment Problem. Math. Ann. 246(1979), 23-32
  4. H.v. Weizsäcker, G. Winkler. Noncompact Extremal Integral Representations: Some Probabilistic Aspects. Functional Analysis: Surveys and Recent Results II. Proc. of the Conference on Functional Analysis, Paderborn, North Holland Publishing Company (1980), 115-147
  5. G. Winkler. A Choquet Ordering and Unique Decompositions in Convex Sets of Tight Measures.Bull. of the Greek Math. Soc. Vol. 21 (1980), 32-46
  6. G. Winkler. The Number of Phases of Inhomogeneous Markov Fields with Finite State Spaces on N and Z and their Behaviour at Infinity. Math. Nachr. 104 (1981), 101-117
  7. G. Winkler. Integral Representation and Upper Bounds for Stop-Loss Premiums under Constraints Given by Inequalities. Scand Actuarial J. (1982), 15-21
  8. G. Winkler. Inverse Limits of Simplices and Applications in Stochastics. Habilitationsschrift, Mathematisches Institut der LMU München (August 1983), 116 pages
  9. G. Winkler. A Note on the Extension of Weak Radon Measures on Locally Convex Spaces to Strong Measures. Supplemento ai Rendiconti del Circolo Matematico di Palermo Serie II - numero 3 (1984), 381-384
  10. G. Winkler. Inverse Limits Need Not Exist in the Category of Compact Sets and Feller Kernels: A Counterexample. Supplemento ai Rendiconti del Circolo Matematico di Palermo Serie II- numero 5 (1984), 155-159
  11. G. Winkler. Eine Anwendung des Zwischenwertsatzes auf das periodische Verhalten dynamischer Systeme: der Satz von Sarkovskii. Didaktik der Mathematik Band 4 (1986), 304-320
  12. G. Winkler. Extreme Points of Moment Sets. Mathematics of Operations Research, Vol.13, No. 4 (1988), 581-587
  13. G. Winkler. Simplexes of Measures with Closed Extreme Boundary and Presentability of Hausdorff Spaces. Math. Nachr. 146 (1990), 47-56
  14. G. Winkler. An Ergodic L^2-Theorem for Simulated Annealing in Bayesian Image Reconstruction. Journal of Applied Probability 28 (1990), 779-791
  15. K.-H. Fichtner, G. Winkler. Generalized Brownian Motion, Point Processes and a Generalization of Stochastic Calculus for Random Fields. Math. Nachr. 161 (1993), 291-307
  16. G. Winkler, V. Aurich, K. Hahn, A. Martin, K. Rodenacker.Noise Reduction in Images: Some Recent Edge-Preserving Methods. J. of Pattern Recognition and Image Analysis. Advances in Mathematical Theory and Applications, V.9, No.4  (1999), 749-766
  17. G. Winkler. Moment Sets of Bell-Shaped Distributions: Extreme Points, Extremal Decompositions and Chebysheff. Math. Nachr. 215-7 (2000), 161-184
  18. K. Rodenacker, A. Brühl, M. Hausner, M. Kühn, V. Liebscher, M. Wagner, G. Winkler, S. Wuertz. Quantification of Biofilms in Multi-Spectral Digital Volumes from Confocal Laser-Scanning . Image Anal Stereol 2000; 19 (2):151-156
  19. K. Rodenacker, K. Hahn,G. Winkler, D. Auer. Spatio-Temporal Data Analysis with Non-Linear Filters: Brain Mapping with fMRI Data. Image Anal Stereol (2000); 19(3):189-94
  20. G. Winkler. A Stochastic Algorithm for Maximum Likelihood Estimation in Imaging. Statistics & Decision (2001); 19:101-120
  21. G. Winkler, V. Liebscher. Smoothers for Discontinuous Signals.  J. Nonpar. Statist. (2002); 14(1-2):203-222
  22. O. Treiber, F. Wanninger, H. Führ , W. Panzer, D. Regulla, G. Winkler. An adaptive algorithm for the detection of microcalcifications in simulated low-dose mammography.  Physics in Medicine and Biology 48(3): 449-466 (2003)
  23. A. Martin, S.M. Prigarin, G. Winkler. Exact and fast numerical algorithms for the stochastic wave equation. Intern. J. Computer Math. (2003), 80(12): 1535-1541
  24. S. M. Prigarin, A. Martin, G. Winkler. Numerical models of binary random fields on the basis of thresholds of Gaussian functions.Siberian Journal of Numerical Mathematics (2004); 7 (2): 165-175
  25. G. Winkler. O. Wittich, V. Liebscher, A. Kempe. Don't Shed Tears over Breaks. Jahresbericht der Deutschen Mathematiker-Vereinigung (2005), 107, Nr. 2, 57-87
  26. H. G. Kellerer, submitted byG. Winkler.Random Dynamical Systems on Ordered Topological Spaces. Stochastics and Dynamics (2006), 6, Nr. 3, 255-300
  27. S. Zeiser, V. Liebscher, H. Tiedemann, I. Rubio-Aliaga, G.Przemeck, M. Hrabé de Angelis, G. Winkler.  Number of Active Transcription Factor Binding Sites is Essential for the HES7 Oscillator. Theoretical Biology & Medical Modelling(2006), Vol. 3:11 (DOI)
  28. O. Wittich, A. Kempe,G. Winkler, V. Liebscher. Complexity Penalized Least Squares Estimators: Analytical Results. Math. Nachrichten  (2008), 281, No 4, 582-595 (DOI)
  29. F. Friedrich, A. Kempe, V. Liebscher, G. Winkler. Complexity Penalized M-Estimation: Fast Computation. Journal of Computational & Graphical Statistics (2008), Volume 17, Number 1, 201-224  (DOI)
  30. S. Prigarin,  K. Hahn, G. Winkler. Comparative analysis of two numerical methods to measure the Hausdorff dimension of the fractional Brownian motion. Sibibirskii Zhurnal Vychislitelnoi Matematiki, V.11. No. 2, 202-218(2008)
  31. S. Prigarin, K. Hahn, G. Winkler. Comparative analysis of two numerical methods to measure the Hausdorff dimension of the fractional Brownian motion. Numerical Analysis and Applications , V.1. No. 2, 163-178 (2008) Pleiades Publishing, Ltd. (DOI)
  32. S. Prigarin,  A. Kempe, A. Martin, G. Winkler. Imitation of Binary Textures on the Basis of Gaussian Numerical Models. (submitted)(2008)
  33. S. Zeiser, O. Rivera, C. Kuttler, B. Hense, R. Lasser, G. Winkler. Oscillations of Hes7 caused by negative autoregulation and ubiquitination. Computational Biology and Chemistry (2008),32(1): 47-51(DOI)
  34. R. Schlicht, G. Winkler. A delay stochastic process with applications in molecular biology. J. Math. Biol. 57, 613–648, (2008) 
  35. S.M. Prigarin, K. Hahn, G. Winkler. Variational dimension of random sequences with stationary increments and its application(in Russian), Sibibirskii Zhurnal VychislitelnoiMatematiki (2009), Vol. 2(4), ?435-448
  36. S.M. Prigarin, K. Hahn, G. Winkler. Variational dimension of random sequences with stationary increments and its application, Numerical Analysis and Applications (2009), Vol. 2(4)): 352-363
  37. S.M. Prigarin, A. Kempe, G. Winkler. Numerical characteristics of randomness for binary samples, Bulletin of the Novosibirsk Computing Center (2009), Issue 14: 41-56
  38. S.M. Prigarin, A. Martin, G. Winkler. Simulation of binary random fields with Gaussian numerical models, Monte Carlo Methods Appl. (2010), 16: 129-142
  39. G. Winkler. Recent Changes in Statistics, International Journal of Biomathematics and Biometry (2010),  1(1) : 113-128
  40. S.M. Prigarin, K. Hahn, and G. Winkler. Estimation of fractal dimension of random fields on the basis of variance analysis of increments (in Russian), Siberian Journal of Numerical Mathematics, V.14 (2011), No.1, 91-102
  41. S.M. Prigarin, K. Hahn, and G. Winkler. Estimation of fractal dimension of random fields on the basis of variance analysis of increments, Numerical Analysis and Applications (2011), Vol. 4 (1): 71-80 (pdf)
  42. L. Demaret, F. Friedrich, V. Liebscher, and G. Winkler. Complexity $L^0$-penalized M-Estimation: Consistency in More Dimensions. Axioms 2013, 2(3), 311-344; doi:10.3390/axioms2030311, http://www.mdpi.com/2075-1680/2/3/311. Abstract in arXiv:1301.5492 (pdf)  Full version in: arXiv:1301.5492 [math.ST]  (pdf)    

Some InProceedings

  1. O. Hellwich, H. Mayer, G. Winkler. Detection of Linear Structures in Synthetic Aperture Radar (SAR) Scenes. Proc. of Soc. for Photogrammetry and Remote Sensing, XVIII ISPRS Congress, Wien, 9.-19. July 1996, 9 pages
  2. K.Hahn, G. Winkler, D. Auer, K. Rodenacker. Application of edge preserving smoothers to fMRI brain mapping. Proc. 5th Int. Conf. on Functional Mapping of the Human Brain, Neuro Image (1999)
  3. G. Winkler, V. Liebscher, V. Aurich. Probabilistic image smoothing: Recent advances. Proceedings S4G International Conference on Stereology, Spatial Statistics and Stochastic Geometry, Prague June 21 to 24, 1999, eds. V. Benes, J. Janacek, I. Saxl, Publisher: Union of Czech Mathematicians and Physicists: Prague (1999), 273-278
  4. V. Liebscher, G. Winkler. A Potts Model for Segmentation and Jump-Detection. Proceedings S4G International Conference on Stereology, Spatial Statistics and Stochastic Geometry, Prague June 21 to 24, 1999, eds. V. Benes, J. Janacek, I. Saxl, Publisher: Union of Czech Mathematicians and Physicists: Prague (1999), 185-190
  5. G. Winkler, K. Hahn, V. Aurich. A Brief Survey of Recent Edge-Preserving Smoothers. Proceedings of the 5th German-Russian Workshop on Pattern Recognition and Image Understanding, September 21-25 1998, Herrsching Germany, eds.  B. Radig, H. Niemann, Y. Zhuravlev, I. Gourevitch, I. Laptev,  infix: Sankt Augustin (1999), 62-69
  6. A. Martin, S.M. Prigarin, G. Winkler. Numerical Simulation for the Linear Stochastic Wave Equation. Simulation 2001, Proceedings of the 4th St. Petersburg Workshop on Simulation. St. Petersburg, Russia, June 18 - 22, 2001, eds. S.M. Ermakov, Yu.N. Kashtanov, V.B.Melas, NII Chemistry St. Petersburg University Publishers (2001), 63-68
  7. A. Martin, S.M. Prigarin, G. Winkler. Exact numerical algorithms for linear stochastic wave equation and stochastic Klein-Gordon equation: (abstract,ps-file,pdf-file) International Conference on Computational Mathematics. Proceedings: Part I. G.A. Mikhailov, V.P. Il'in and Y.M. Laevsky (eds.). ICM&MG Publisher, Novosibirsk, Russia (2002), 232-237
  8. S.M. Prigarin and G. Winkler. Numerical solution of boundary value problems for stochastic differential equations on the basis of the Gibbs sampler: (abstract, ps-file, pdf-file) International Conference on Computational Mathematics. Proceedings: Part I. G.A. Mikhailov, V.P. Il'in and Y.M. Laevsky (eds.). ICM&MG Publisher, Novosibirsk, Russia (2002), 254-258
  9. F. Friedrich, G. Winkler, O. Wittich and V. Liebscher. An Elementary Rigorous Introduction to Exact Sampling. (pdf-file) To appear in Proceedings of the International Workshop in Applied Probability. Caracas, Venezuela, January 14-17, 2002, to appear, Kluwer Scientific Publishing 2003
  10. G. Winkler, A. Kempe, V. Liebscher and O. Wittich. Parsimonious Segmentation of Time Series' by Potts Models.Proceedings of the 27th Annual Conference of the GfKl. Special issue of  "Studies in Classification, Data Analysis, and Knowledge Organization", D. Baier and K.-D. Wernecke (editors),  Springer Verlag (2005), 295-302
  11. G. Winkler. Bildgebende Verfahren. In: Beiträge zur Biomedizinischen Bildgebung mit einem Seitenblick auf Molecular Imaging. GSF-Bericht 03/04 (2004), 87-108
  12. G. Winkler. Grundlagen der Radontransformation. In: Beiträge zur Biomedizinischen Bildgebung mit einem Seitenblick auf Molecular Imaging. GSF-Bericht 03/04 (2004), 109-192
  13. G. Winkler. Extraction of Primitive Features from Time-Series by Complexity Penalized M-Estimation. Workshop on Reassessing the Paradigms of Statistical Model-Building, October 21st-october 27th, 2007, eds. U. Gather, P. Hall, H.-R. Künsch, Oberwolfach Reports4: 4 (2008), 3002-3004

Technical Reports

  1. Stochastische Prozesse in der statistischen Modellierung. (PDF) (PS.gz) GSF-Bericht 14/00 (2000), 161 pages
  2. Beiträge zur kantenerhaltenden Glättung. (PDF)(PS.gz) GSF-Bericht  17/00 (2000),  167 pages
  3. Beiträge zur Biomedizinischen Bildgebung mit einem Seitenblick auf Molecular Imaging.  G. Winkler, Editor, GSF-Bericht 03/04 (2004), 285 pages
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
e-mail: Gerhard Winkler

Last modified: Tue Feb 19 19:12:36 CET 2013