Publications of Volkmar Liebscher



  • Kasbohm E, Fischer S, Küntzel A, Oertel P, Bergmann A, Trefz P, Miekisch W, Schubert JK, Reinhold P, Ziller M, Fröhlich A, Liebscher V, Köhler H.Strategies for the identification of disease-related patterns of volatile organic compounds: prediction of paratuberculosis in an animal model using random forests. J Breath Res. 2017 Nov;11(4) 047105. doi:10.1088/1752-7163/aa83bb. PMID: 28768897.



  • Kloppot P, Selle M, Kohler C, Stentzel S, Fuchs S, Liebscher V, Müller E, Kale D, Ohlsen K, Bröker BM, Zipfel PF, Kahl BC, Ehricht R, Hecker M, Engelmann S.Microarray based identification of human antibodies against Staphylococcus aureus antigens.Proteomics Clin Appl. 2015 Feb 11. doi: 10.1002/prca.201400123. [Epub ahead of print]
  • V. Liebscher. The relation of spatial and tensor product of Arveson systems — the random set point of view. IDAQP. Vol. 18, No. 4, 2015
  • Ameling S, Kacprowski T, Chilukoti RK, Malsch C, Liebscher V, Suhre K, Pietzner M, Friedrich N, Homuth G, Hammer E, Völker U. Associations of circulating plasma microRNAs with age, body mass index and sex in a population-based study. BMC Med Genomics 8:61, 2015.
  • Ivanovska T, Laqua R, Wang L, Schenk A, Yoon JH, Hegenscheid K, Völzke H, Liebscher V. An efficient level set method for simultaneous intensity inhomogeneity correction and segmentation of MR images. Comput Med Imaging Graph 48:9-20, 2015.
  • K.-H. Fichtner, S. Klaere, and V. Liebscher
    Solving a Class of Linear Skorokhod Stochastic Differential Equations. Commun. Stoch. Anal. 9(4):457–466


  • Ivanovska T, Laqua R, Wang L, Liebscher V, Völzke H, Hegenscheid K. A level set based framework for quantitative evaluation of breast tissue density from MRI data PLoS One. 2014 Nov 25;9(11):e112709. doi: 10.1371/journal.pone.0112709. eCollection 2014.
  • Gloger, O, Tönnies, K, Liebscher, V, Völzke, H, Fully Automatic Renal Parenchyma Volumetry in LDA-based Probability Maps Using Variational Outer Cortex Edge Alignment Forces, Ortuno, F and Rojas, I (eds.) 2nd International Work-Conference on Bioinformatics and Biomedical Engineering (IWBBIO) Apr 07-09, 2014, Granada, SPAIN, , pp.1207-1218





  • Zeiser S, Franz U,Liebscher V. Autocatalytic genetic networks modeled by piecewise-deterministic Markov processes. J MATH BIOL 2010 Volume 60, Number 2, Pages 207-246
  • Bhat, B. V. Rajarama; Liebscher, Volkmar; Skeide, Michael Subsystems of Fock need not be Fock: spatial CP-semigroups. Proc. Amer. Math. Soc. 138 (2010), no. 7, 2443–2456




  • A.-L. Boulesteix, V.Hösel, V. Liebscher Stochastic modeling for the COMET-assayJournal of Concrete and Applicable Mathematics, 5(1):53-76 
  • S. Zeiser, J. Müller, V. Liebscher, Modelling the Hes1 Oscillator During Somitogenesis Journal of Computational Biology 14(7):984-1000   link to publisher
  • D. Dossing, V. Liebscher , H. Wagner, S. Walcher Evolution, Bäume und Algorithmen MNU 60(2):68-75
  • L. Boysen, V. Liebscher , A.Munk, O. Wittich, Scale space consistency of piecewise constant least squares estimators - another look at the regressogram. In:Asymptotics: Particles, Processes and Inverse Problems E. Cator, G. Jongbloed, C. Kraaikamp, R. Lopuhaä and J. Wellner, Editors IMS Lecture Notes - Monograph Series Vol. 55, 65-84, Institute of Mathematical Statistics, Baltimore, 2007
  • J. Wagenstaller, S. Spranger, B. Lorenz-Depiereux, B. Kazmierczak, M. Nathrath, D. Wahl, B. Heye, D. Gläser, V. Liebscher , T. Meitinger, T.M. Strom Copy number variations measured by SNP oligonucleotide arrays in patients with mental retardation Am J Hum Genet. 2007 Oct;81(4):768-79


  • S. Zeiser, H.V. Liebscher , H. Tiedemann , I. Rubio-Aliaga , G.K.H. Przemeck, M. Hrabe de Angelis, G. Winkler Number of active transcription factor binding sites is essential for the Hes7 oscillator Theoretical Biology and Medical Modelling 2006, 3:11   link to Open Access article


  • G.Winkler, O.Wittich, V. Liebscher, A.Kempe Don't shed Tears over BreaksJahresbericht der DMV 107(2):57-87
  • T. Mijalski, A. Harder, T. Halder, M. Kersten, M. Horsch, T.M. Strom, H.V. Liebscher, F. Lottspeich, M. Hrabe de Angelis, J. Beckers Identification of coexpressed gene clusters in a comparative analysis of transcriptome and proteome in mouse tissues PNAS 102(24):8621-6. link to article
  • G. Winkler, A. Kempe, V. Liebscher and O. Wittich Parsimonious Segmentation of Time Series' by Potts Models In 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, 295-302
  • K.H. Fichtner, V. Liebscher , M.Ohya A Limit Theorem for Conditionally Independent Beam Splittings In Quantum Probability and Infinite Dimensional Analysis. From Foundations to Applications, Krupp-Kolleg Greifswald, Germany 22 - 28 June 2003, volume 18 of QP-PQ Quantum Probability and White Noise Analysis, M. Schürmann, U. Franz (editors), World Scientific Singapore, 227-236


  • S.D. Barreto, B.V.R. Bhat, V. Liebscher, M. Skeide, Type I Product Systems of Hilbert Modules Journal of Functional Analysis 212 (2004) 121-181  link to article
  • W.B. Wahl, R. Caldwell, A.M. Kierzek, H.Arakawa, N. Hubner, C. Jung, M. Soeldenwagner, M. Cervelli, Y.-D. Wang, V. Liebscher, J.-M.Buerstedde Evaluation of the chicken transcriptome by SAGE of B cells and the DT40 cell line BMC Genomics 2004, 5:98 (21 Dec 2004) link to article
  • F. Friedrich, G. Winkler, O. Wittich, and V. Liebscher An elementary rigorous introduction to exact sampling In Recent Advances in Applied Probability R. Baeza-Yates (Editor), J. Glaz (Editor), Henryk Gzyl (Editor), Jürgen Hüsler (Editor), José Luis Palacios (Editor), pp. 143 -162, Springer
  • K.-H. Fichtner, W. Freudenberg, and V. Liebscher On Exchange Mechanisms for Bosons Random Oper. and Stoch. Equ. 12 (4):331-348 2004


  • A.L. Drobyshev, Ch. Machka, M. Horsch, M. Seltmann, V. Liebscher , M. Hrabé de Angelis, and J. Beckers Specificity assessment from fractionation experiments (SAFE): a novel method to evaluate microarray probe specificity based on hybridisation stringencies Nucleic Acids Res. 31(2):1-10 2003  link
  • V. Liebscher Markovianity of quantum random fields in the B(H) case in W. Freudenberg, editor Proceedings of the Conference "Quantum Probability and Infinite-Dimensional Analysis" Burg, Germany 15 - 20 March 2001, volume 15 ofQP-PQ Quantum Probability and White Noise Analysis Singapore 2003 World Scientific pages 151--159
  • V. Liebscher Isometric cocycles related to beam splittings in W. Freudenberg, editor Proceedings of the Conference "Quantum Probability and Infinite-Dimensional Analysis" Burg, Germany 15 - 20 March 2001, volume 15 ofQP-PQ Quantum Probability and White Noise Analysis Singapore 2003 World Scientific pages 161--180
  • V. Hösel and V. Liebscher Towards new Mathematical Models for Biofilms inS. Wuertz, P.A.Wilderer, P.L.Bishop, eds., Biofilms in Wastewater Treatment: An Interdisciplinary Approach IWA Publishing, London, 2003 pages 49-59


  • G. Winkler and V. Liebscher Smoothers for discontinuous signalsJ.Nonpar.Stat. 14(1-2):203--222 2002


  • V. Liebscher and M. Skeide Units for the Time Ordered Fock Module IDAQP 4(4):545-551 2001 
  • V. Liebscher and S. Walcher On the mean value of probability measures on circular graphs Res. Math.39: 58-90 2001 
  • V. Liebscher A Limit Theorem for Quantum Markov Chains associated to Beam Splittings Open Systems and Information Dynamics 8:1-29 2001
  • V. Liebscher How to generate Markovian Cocycles on Boson Fock space IDAQP 4(2):215-219 2001 


  • K.-H. Fichtner, W. Freudenberg, and V. Liebscher Characterization of Classical and Quantum Poisson Systems by Thinnings and Splittings Math.Nachr. 218:25 - 47 2000
  • F.Frühauf and V. Liebscher Quantitative Analyse eines von Protozoen erzeugten Strömungsfeldes In Proceedings of the DAGM 2000 
  • K. Rodenacker, A. Brühl, M. Hausner, M. Kühn, V. Liebscher , M. Wagner, G. Winkler, and S. Wuertz Quantification of biofilms in multi-spectral digital volumes from confocal laser-scanning microscopes Image Anal. Stereol.19:151--156 2000
  • V. Liebscher Integration by parts formulae for point processes In Stochastic Processes, Physics and Geometry: New Interplays. II: A Volume in Honor of Sergio Albeverio. CMS Conference Proceedings Series Amer.Math.Soc. 2000 pages 447--454  
  • V. Liebscher Two Notes on Adapted Processes In Trends in Contemporary Infinite Dimensional Analysis and Quantum Probability. Essays in Honour of Professor Takeyuki Hida for his 70th Birthday volume 3 of Natural and Mathematical Sciences Series 3 Italian School of East Asian Studies Kyoto 2000 pages 251--255  


  • V. Liebscher On a Central Limit Theorem for Monotone Noise Infinite Dimensional Analysis, Quantum Probability and Related Topics 2(1):155-167 1999  
  • G. Winkler and V. Liebscher A Potts model for segmentation and jump detection In Proceedings of the SSSSG Conference Prag 1999  
  • G. Winkler, V. Liebscher, and V. Aurich Probabilistic image smoothing: Recent advances In Proceedings of the SSSSG Conference Prag 1999 
  • V. Liebscher Note on Entangled Ergodic Theorems Infinite Dimensional Analysis, Quantum Probability and Related Topics 2(2):301-304 1999 
  • L. Accardi and V. Liebscher Markovian KMS-States for Onedimensional Spin Chains Infinite Dimensional Analysis, Quantum Probability and Related Topics 2(4): 645-661 1999
  • A.M.Chebotarev and V. Liebscher On Relative Boundedness in Operator Spaces Rep.Math.Phys. 44 (3):339-344 1999  
  • U. Bhattacharya, V. Liebscher, A. Datta, S.K. Parui, K. Rodenacker, and B.B. Chaudhuri Vector Quantization of Volumetric Images of Filamentous Bacteria Using Topology Preserving Feature Maps Proceedings of ICPR 2000, Barcelona, Sep. 3-8, 2000


  • K.-H. Fichtner, W. Freudenberg, and V. Liebscher Splittings and Gibbs StatesMath.Zam. 64(4):598-605 1998
  • K.-H. Fichtner, W. Freudenberg, and V. Liebscher Time Evolution and Invariance of Boson Systems Given by Beam Splittings Infinite Dimensional Analysis, Quantum Probability and Related Topics 1(4):511-531 1998
  • V. Liebscher A Gibbs Theory for States of Boson Systems In T. Matsui, editor, Recent trends in Infinite Dimensional Non-Commutative Analysis volume 1035 of RIMS Kokyuroku Kyoto 1998
  • V. Liebscher Beam Splittings, Coherent States and Quantum Stochastic Differential Equations Habilitation thesis FSU Jena 1998
  • V. Liebscher Diagonal Versions and Quantum Stochastic Integrals on the Symmetric Fock Space with Nonadapted Integrands Prob.Th.Rel.Fields112:255-295 1998
  • V. Liebscher A Generalization of the Conservation Integral Banach Center Publications 43:273-284 1998
  • V. Liebscher Multiple Integrals and the isomorphism between a general white noise space and a Symmetric Fock Space Quantum Probability Communications X:245-259 1998


  • L. Accardi and V. Liebscher Generalized Beam Splittings and Related Quantum Flows preprint


  • K.-H. Fichtner, W. Freudenberg, and V. Liebscher Beam Splittings and Time Evolutions of Boson Systems Forschungsergebnisse der Fakultät für Mathematik und Informatik Jena Math/Inf/96/39 1996
  • V. Liebscher On the Characterization of Pure Locally Normal States In C. Cecchini, editor, Contributions in Probability. In memory of Alberto Frigerio Forum Udine 1996 pages 141 - 154
  • V. Liebscher Characterization of Coherent and Mixed Coherent States by Beam Splittings Forschungsergebnisse der Fakultät für Mathematik und Informatik Jena Math/Inf/96/16 1996
  • V. Liebscher Diagonal Integration and Diagonalized Versions Forschungsergebnisse der Fakultät für Mathematik und Informatik Jena Math/Inf/96/38 1996


  • V. Liebscher On the Isomorphism of Poisson Space and Symmetric Fock SpaceIn L. Accardi, editor, Quantum Probability & Related Topics IX World Scientific Singapore 1994 pages 295 - 300


  • V. Liebscher Conditional Local States and Decomposition of Locally Normal States Math. Nachr. 164:103-117 1993
  • V. Liebscher Bedingte lokale Zustände und Charakterisierung lokalnormaler Zustände unendlicher Bosonensysteme Dissertation FSU Jena 1993


  • V. Liebscher Reinheitsgrade und Reinheit normaler und lokalnormaler Zustände Diplomarbeit FSU Jena 1991