Difference between revisions of "Christian Holm"
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==Research==  ==Research==  
−  My scientific interests are especially the study of complex charged soft matter by means of computer simulations, and the development of simple theoretical models to describe them. More precisely I am currently working on the solution properties and association behavior of flexible and semiflexible polyelectrolytes in various solvents and under various salt concentrations and salt types. In addition I am interested in the effective pair interactions of charged colloidal particles and their phase behavior. This includes simple DNA models, and DNA protein interactions, as well as developing coarse grained models for DNAHistone complexes. I also began investigations of ferrofluids, where special attention is given to the structure of the solution and the magnetic response functions. Another interest is the applicability of meanfield models for the description of models with long range interactions, and possible improvements beyond the meanfield approach. This  +  My scientific interests are especially the study of complex charged soft matter by means of computer simulations, and the development of simple theoretical models to describe them. More precisely I am currently working on the solution properties and association behavior of flexible and semiflexible polyelectrolytes in various solvents and under various salt concentrations and salt types. In addition I am interested in the effective pair interactions of charged colloidal particles and their phase behavior. This includes simple DNA models, and DNA protein interactions, as well as developing coarse grained models for DNAHistone complexes. I also began investigations of ferrofluids, where special attention is given to the structure of the solution and the magnetic response functions. Another interest is the applicability of meanfield models for the description of models with long range interactions, and possible improvements beyond the meanfield approach. This includes local density functional methods based on the PoissonBoltzmann functional, as well as strong coupling theories such as Wignercrystal methods. In addition I am interested in the development of fast methods for the computation of long range interactions. These include pure Coulomb as well as dipolar interactions in various geometries (3D1D), and under various boundary conditions. 
==Publications==  ==Publications== 
Revision as of 10:17, 6 October 2009
<setdata> name=Holm, Christian title=Prof. Dr. status=Director phone=63593 room=207 email=holm image=Christian_Holm.jpg </setdata>
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Research
My scientific interests are especially the study of complex charged soft matter by means of computer simulations, and the development of simple theoretical models to describe them. More precisely I am currently working on the solution properties and association behavior of flexible and semiflexible polyelectrolytes in various solvents and under various salt concentrations and salt types. In addition I am interested in the effective pair interactions of charged colloidal particles and their phase behavior. This includes simple DNA models, and DNA protein interactions, as well as developing coarse grained models for DNAHistone complexes. I also began investigations of ferrofluids, where special attention is given to the structure of the solution and the magnetic response functions. Another interest is the applicability of meanfield models for the description of models with long range interactions, and possible improvements beyond the meanfield approach. This includes local density functional methods based on the PoissonBoltzmann functional, as well as strong coupling theories such as Wignercrystal methods. In addition I am interested in the development of fast methods for the computation of long range interactions. These include pure Coulomb as well as dipolar interactions in various geometries (3D1D), and under various boundary conditions.
Publications
2009

Mehmet Süzen, Marcello Sega, Christian Holm.
Ensemble inequivalence in singlemoleculeexperiments.
Physical Review E 79(5):051118, 2009.
[PDF] (269 KB) [DOI] 
Taisia Prokopieva, Victor Danilov, Sofia Kantorovich, Christian Holm.
Ground state structures in ferrofluid monolayers.
Physical Review E 80(3):031404, 2009.
[PDF] (616 KB) [DOI]
2008
<pubentries year=2008 author="holm" pdflink="yes"> </pubentries>
2007
<pubentries year=2007 author="holm" pdflink="yes"> </pubentries>
2006
<pubentries year=2006 author="holm" pdflink="yes"> </pubentries>
2005
<pubentries year=2005 author="holm" pdflink="yes"> </pubentries>
2004

Marcia C. Barbosa, Markus Deserno, Christian Holm, René Messina.
Screening of spherical colloids beyond mean field: A local density functional approach.
Physical Review E 69:051401, 2004.
[PDF] (121 KB) [DOI] 
Christian Holm.
Efficient methods for long range interactions in periodic geometries plus one application.
In Computational Soft Matter: From Synthetic Polymers to Proteins, pages 195–236. Edited by N. Attig, K. Binder, H. Grubmüller, K. Kremer. Part of NIC series, volume 23.
Research Centre Jülich, 2004. ISBN: 3000126414.
[PDF] (630 KB) 
Christian Holm, Matthias Rehahn, Wilhelm Oppermann, Matthias Ballauff.
StiffChain Polyelectrolytes.
In Polyelectrolytes with Defined Molecular Architecture II, pages 1–27. Edited by Manfred Schmidt. Part of Advances in Polymer Science, volume 166.
Springer Berlin Heidelberg, 2004.
[PDF] (530 KB) [DOI] 
Christian Holm, JeanFrançois Joanny, Kurt Kremer, Roland R. Netz, Peter Reineker, Christian Seidel, Thomas A. Vilgis, Roland G. Winkler.
Polyelectrolyte Theory.
In Polyelectrolytes with Defined Molecular Architecture II, pages 67–111. Edited by Manfred Schmidt. Part of Advances in Polymer Science, volume 166.
Springer Berlin Heidelberg, New York, 2004.
[PDF] (935 KB) [DOI] 
J. P. Huang, Christian Holm.
Magnetization of polydisperse colloidal ferrofluids: Effect of magnetostriction.
Physical Review E 70:061404, 2004.
[PDF] (101 KB) [DOI] 
Alexey O. Ivanov, Zuowei Wang, Christian Holm.
Applying the Chain Formation Model to magnetic properties of aggregated ferrofluids.
Physical Review E 69:031206, 2004.
[PDF] (102 KB) [DOI] 
Hans Jörg Limbach, Mehmet Sayar, Christian Holm.
Polyelectrolyte Bundles.
Journal of Physics: Condensed Matter 16(22):2135–2144, 2004.
[PDF] (262 KB) [Preprint] [DOI] 
Hans Jörg Limbach, Christian Holm.
Conformations and Solution Structure of Polyelectrolytes in Poor Solvent.
In Polyelectrolytes. Edited by U. Scheler. Part of Dresdener Polymer Discussions 2003, volume 9.
WileyVCH, Dresden, Germany, 2004.
[DOI] 
Vladimir Lobaskin, Burkhard Dünweg, Christian Holm.
Electrophoretic mobility of a charged colloidal particle: A computer simulation study.
Journal of Physics: Condensed Matter 16(38):S4063–S4073, 2004.
[PDF] (312 KB) [Preprint] [DOI] 
Bernward A. Mann, Ralf Everaers, Christian Holm, Kurt Kremer.
Scaling in polyelectrolyte networks.
Europhysics Letters 67(5):786–792, 2004.
[PDF] (261 KB) [DOI] 
R. Messina.
Effect of image forces on polyelectrolyte adsorption at a charged surface.
Physical Review E 70(5):051802, 2004.
[PDF] (620 KB) 
Ali Naji, Axel Arnold, Christian Holm, Roland R. Netz.
Attraction and unbinding of like–charged rods.
Europhysics Letters 67:130–136, 2004.
[PDF] (142 KB) [DOI]
2003

Christian Holm, Hans Jörg Limbach, Kurt Kremer.
Poorsolvent polyelectrolytes.
Journal of Physics: Condensed Matter 15(1):S205–S211, 2003.
[PDF] (262 KB) [DOI] 
Felipe JiménezÁngeles, René Messina, Christian Holm, Marcelo LozadaCassou.
Ion pairing in model electrolytes: A study via threeparticle correlation functions.
The Journal of Chemical Physics 119(9):48424856, 2003.
[PDF] (522 KB) [Preprint] [DOI] 
Hans Jörg Limbach, Christian Holm.
SingleChain Properties of Polyelectrolytes in Poor Solvent.
Journal of Physical Chemistry B 107(32):8041–8055, 2003.
[PDF] (403 KB) [DOI] 
René Messina, Christian Holm, Kurt Kremer.
Polyelectrolyte Multilayering in Spherical Geometry.
Langmuir 19:4473–4482, 2003.
[PDF] (963 KB) [Preprint] 
Zuowei Wang, Christian Holm, Hanns Walter Müller.
Boundary condition effects in the simulation study of equilibrium properties of magnetic dipolar fluids.
The Journal of Chemical Physics 119:379, 2003.
[PDF] (175 KB) [DOI] 
Zuowei Wang, Christian Holm, Hanns Walter Müller.
Computer simulation study of equilibrium properties of magnetic dipolar fluids.
Magnetohydrodynamics 39(1):59–64, 2003.

Zuowei Wang, Christian Holm.
Structure and magnetization properties of polydispersed ferrofluids: A molecular dynamics study.
Physical Review E 68(4):041401, 2003.
[PDF] (419 KB) [DOI]
2002

Axel Arnold, Christian Holm.
MMM2D: A fast and accurate summation method for electrostatic interactions in 2D slab geometries.
Computer Physics Communications 148(3):327–348, 2002.
[PDF] (2.8 MB) [Preprint] [DOI] 
Axel Arnold, Christian Holm.
A novel method for calculating electrostatic interactions in 2D periodic slab geometries.
Chemical Physics Letters 354(3–4):324–330, 2002.
[PDF] (425 KB) [DOI] 
Axel Arnold, Jason de Joannis, Christian Holm.
Electrostatics in Periodic Slab Geometries. I.
The Journal of Chemical Physics 117:2496–2502, 2002.
[PDF] (217 KB) [Preprint] [DOI] 
Jason de Joannis, Axel Arnold, Christian Holm.
Electrostatics in Periodic Slab Geometries. II.
The Journal of Chemical Physics 117:2503–2512, 2002.
[PDF] (267 KB) [Preprint] [DOI] 
Markus Deserno, Christian Holm.
Theory and simulations of rigid polyelectrolytes.
Molecular Physics 100(18):2941–2956, 2002.
[Preprint] [DOI] 
Christian Holm, Kurt Kremer, Markus Deserno, Hans Jörg Limbach.
Computer Modeling of Charged Polymers.
In NIC Symposium 2001, pages 385–395. Edited by H. Rollnik, D. Wolf. Part of NIC Series, Vol. 9, volume 9.
John von Neumann Institute for Computing, Jülich, Germany, 2002. ISBN: 300009055X.
[PDF] (668 KB) 
Hans Jörg Limbach, Christian Holm.
Conformational properties of poor solvent polyelectrolytes.
Computer Physics Communications 147:321–324, 2002.
[Preprint] [DOI] 
Hans Jörg Limbach, Christian Holm, Kurt Kremer.
Structure of polyelectrolytes in poor solvent.
Europhysics Letters 60(4):566–572, 2002.
[PDF] (168 KB) [Preprint] [DOI] 
René Messina, Christian Holm, Kurt Kremer.
Conformation of a Polyelectrolyte Complexed to a LikeCharged Colloid.
Physical Review E 65:041805, 2002.
[PDF] (163 KB) [Preprint] [DOI] 
René Messina, Christian Holm, Kurt Kremer.
Likecharge colloidpolyelectrolyte complexation.
The Journal of Chemical Physics 117:2947, 2002.
[Preprint] [DOI] 
René Messina, Enrique González Tovar, Marcelo LozadaCassou, Christian Holm.
Overcharging: The Crucial Role of Excluded Volume.
Europhysics Letters 60:383–389, 2002.
[PDF] (148 KB) [Preprint] [DOI] 
René Messina, Christian Holm, Kurt Kremer.
Charge inversion in colloidal systems.
Computer Physics Communications 147:282–285, 2002.
[Preprint] [DOI] 
Zuowei Wang, Christian Holm, Hanns Walter Müller.
Molecular dynamics study on the equilibrium magnetization properties and structure of ferrofluids.
Physical Review E 66(2):021405, 2002.
[PDF] (849 KB) [Preprint] [DOI]
2001

Markus Deserno, Christian Holm, Kurt Kremer.
Molecular dynamics simulations of the cylindrical cell model.
In Physical Chemistry of Polyelectrolytes, chapter 2, pages 59–110. Edited by T. Radeva. Part of Surfactant science series, volume 99.
Marcel Decker, New York, 2001.

Markus Deserno, Christian Holm, Jürgen Blaul, Matthias Ballauff, Matthias Rehahn.
The Osmotic Coefficient of Rodlike Polyelectrolytes: Computer Simulation, Analytical Theory, and Experiment.
European Physical Journal E 5:97–103, 2001.
[PDF] (147 KB) [DOI] 
Markus Deserno, Felipe JiménezÁngeles, Christian Holm, Marcelo LozadaCassou.
Overcharging of DNA in the presence of salt: Theory and Simulation.
The Journal of Physical Chemistry B 105(44):10983–10991, 2001.
[PDF] (143 KB) [Preprint] [DOI] 
Markus Deserno, Christian Holm.
Cellmodel and PoissonBoltzmanntheory: A brief introduction.
In Electrostatic Effects in Soft Matter and Biophysics, pages 27–50. Edited by C. Holm, P. Kékicheff, R. Podgornik. Part of NATO Science Series II  Mathematics, Physics and Chemistry, volume 46.
Kluwer Academic Publishers, Dordrecht, Nl, 2001.
[PDF] (262 KB) [DOI] 
Christian Holm, Kurt Kremer.
Computer Simulations of Charged Systems.
In Electrostatic Effects in Soft Matter and Biophysics. Edited by C. Holm, P. Kékicheff, R. Podgornik. Part of NATO Science Series II  Mathematics, Physics and Chemistry, volume 46.
Kluwer Academic Publishers, Dordrecht, Nl, 2001.
[DOI] 
Christian Holm.
What can Ising spins teach us about Quantum Gravity?
In Fluctuating Paths and Fields, pages 707–720. Edited by A. Pelster, M. Bachmann, W. Janke.
World Scientific, Singapore, 2001.
[DOI] 
Hans Jörg Limbach, Christian Holm.
Endeffects of strongly charged polyelectrolytes  a molecular dynamics study.
The Journal of Chemical Physics 114(21):9674–9682, 2001.
[DOI] 
René Messina, Christian Holm, Kurt Kremer.
Effect of colloidal charge discretization in the primitive model.
European Physical Journal E 4:363–370, 2001.
[PDF] (250 KB) [Preprint] [DOI] 
René Messina, Christian Holm, Kurt Kremer.
Strong electrostatic interactions in spherical collidal systems.
Physical Review E 64:021405, 2001.
[PDF] (1.0 MB) [Preprint] [DOI] 
Zuowei Wang, Christian Holm.
Estimate of the Cutoff Errors in the Ewald Summation for Dipolar Systems.
The Journal of Chemical Physics 115:6351–6359, 2001.
[PDF] (1.3 MB) [DOI]
2000

Marcia C. Barbosa, Markus Deserno, Christian Holm.
A stable local density functional approach to ionion correlations.
Europhysics Letters 52(1):80–86, 2000.
[PDF] (147 KB) [Preprint] [DOI] 
Markus Deserno, Christian Holm, Sylvio May.
Fraction of Condensed Counterions around a Charged Rod: Comparison of PoissonBoltzmann Theory and Computer Simulations.
Macromolecules 33:199–206, 2000.
[PDF] (98 KB) [Preprint] [DOI] 
René Messina, Christian Holm, Kurt Kremer.
Strong attraction between charged spheres due to metastable ionized states.
Physical Review Letters 85:872–875, 2000.
[PDF] (155 KB) [DOI] 
René Messina, Christian Holm, Kurt Kremer.
Ground state of two unlike charged colloids: An anology with ionic bonding.
Europhysics Letters 51:461–467, 2000.
[PDF] (246 KB) [DOI]
1999

Christian Holm, Kurt Kremer.
Polyelectrolytes in Solution  Recent Computer Simulations.
In Proceedings of Yamada Conference “Polyelectrolytes”, Inuyama, Japan, pages 27–36. Edited by I. Noda, E. Kokufuta.
Yamada Science Foundation, Osaka, Japan, 1999.
[PDF] (214 KB) [Preprint] 
Christian Holm, Wolfhard Janke.
Simplicial Quantum Gravity on a Randomly Triangulated Sphere.
International Journal of Modern Physics A 14(24):3885–3903, 1999.
[DOI] 
Elmar Bittner, A. Hauke, Harald Markum, J. Riedler, Christian Holm, Wolfhard Janke.
Lattice Models of 2DQuantum Gravity.
In Proceedings of the Eigth Marcel Grossmann Meeting, pages 769. Edited by Tsvi Piran, Remo Ruffini.
World Scientific Publishers, The Hebrew University, Jerusalem, Israel, June 22  27, 1997, 1999.

Elmar Bittner, A. Hauke, Christian Holm, Wolfhard Janke, Harald Markum, J. Riedler.
Z_{2}Regge versus Standard Regge Calculus in Two Dimensions.
Physical Review D 59(12):124018, 1999.
[PDF] (208 KB) [DOI] 
Uwe Micka, Christian Holm, Kurt Kremer.
Strongly Charged, Flexible Polyelectrolytes in Poor Solvents  A Molecular Dynamics Study.
Langmuir 15(12):40334044, 1999.
[PDF] (1.2 MB) [Preprint] [DOI]
1998 and before

Christian Holm.
Anwendung von FFT Ewald GitterMethoden in Simulationen von Polyelektrolyten.
In Höchstleistungsrechnen in der Chemie, pages 67–69. Edited by R. Esser, J. Grotendorst, M. Lewerenz.
Research Center Jülich, Jülich, 1998.

Christian Holm, Kurt Kremer, Thomas A. Vilgis.
Polyelektrolyte: Grundlegende Probleme bei der Beschreibung weitverbreiteter Substanzen.
Physikalische Blätter 54(11):1013–1016, 1998.
[PDF] (1.7 MB) [DOI] 
Elmar Bittner, A. Hauke, Christian Holm, Wolfhard Janke, Harald Markum, J. Riedler.
Standard and Z_{2}Regge Theory in two Dimensions.
Nuclear Physics B: Proceedings Supplements 63(1):769771, 1998.
[PDF] (221 KB) [DOI] 
Elmar Bittner, A. Hauke, Christian Holm, Wolfhard Janke, Harald Markum, J. Riedler.
Lattice Models of Quantum Gravity.
In Frontiers in Quantum Physics, pages 303. Edited by S. C. Lim, R. AbdShukor, K. H. Kwek.
Springer, Berlin, 1998.
[PDF] (117 KB) 
Markus Deserno, Christian Holm.
How to mesh up Ewald sums. I. A theoretical and numerical comparison of various particle mesh routines.
The Journal of Chemical Physics 109:7678, 1998.
[PDF] (307 KB) [DOI] 
Markus Deserno, Christian Holm.
How to mesh up Ewald sums. II. An accurate error estimate for the Particle–Particle–ParticleMesh algorithm.
The Journal of Chemical Physics 109:7694, 1998.
[PDF] (200 KB) [DOI] 
Christian Holm, Wolfhard Janke.
Critical Exponents of the Classical Heisenberg Ferromagnet.
Physical Review Letters 78(11):2265, 1997.
FUBHEP968
[PDF] (53 KB) [DOI] 
Christian Holm, Wolfhard Janke.
Fixed Versus Random Triangulations in 2D Regge Calculus.
Physics Letters B 390(1):59–63, 1997.
FUBHEP9610
[PDF] (394 KB) [DOI] 
Christian Holm.
Influence of the Path Integral Measure in Quantum Gravity.
In Functional Integration: Basics and Applications, pages 417. Edited by C. DeWittMorette, P. Cartier, A. Folacci. Part of NATO ASI Series B: Physics Vol. 361.
Plenum, New York, 1997. ISBN: 9781489903211.
[DOI] 
Christian Holm, Wolfhard Janke, Tetsuo Matsui, Kazuhiko Sakakibara.
Monte Carlo Study of Asymmetric 2D XY Model.
Physica A: Statistical Mechanics and its Applications 246(3):633–645, 1997.
[PDF] (598 KB) [DOI] 
Christian Holm, Wolfhard Janke.
Measuring the String Susceptibility in 2D Simplicial Quantum Gravity Using the Regge Approach.
Nuclear Physics B 477(2):465–488, 1996.
FUBHEP 17/95
[PDF] (1.2 MB) [DOI] 
Christian Holm, Wolfhard Janke.
Ising Spins on a Gravitating Sphere.
Physics Letters B 375(1):69–74, 1996.
FUBHEP 18/95
[PDF] (508 KB) [DOI] 
Christian Holm.
2D NonPerturbative Euclidean Quantum Gravity via Regge Calculus.
1996.
unpublished

Christian Holm, Wolfhard Janke.
Measure Dependence of 2D Simplicial Quantum Gravity.
Nuclear Physics B: Proceedings Supplements 42(1):722–724, 1995.
FUBHEP 20/94
[PDF] (215 KB) [DOI] 
Christian Holm, Wolfhard Janke.
The Ising Transition in 2D Simplicial Quantum Gravity – Can Regge Calculus be Right?
Nuclear Physics B: Proceedings Supplements 42(1):725–727, 1995.
FUBHEP 19/94
[PDF] (236 KB) [DOI] 
Christian Holm, Wolfhard Janke.
Monte Carlo study of topological defects in the 3D Heisenberg model.
Journal of Physics A: Mathematical and General 27(7):2553–2563, 1994.
FUBHEP 10/93
[PDF] (504 KB) [DOI] 
Christian Holm, Wolfhard Janke.
The critical behaviour of Ising spins on 2D Regge lattices.
Physics Letters B 335(2):143–150, 1994.
[PDF] (450 KB) [DOI] 
Christian Holm, Wolfhard Janke.
High Pecision Monte Carlo Determination of $\alpha/\nu$ in the 3D Classical Heisenberg Model.
International Journal of Modern Physics C 5(2):267–270, 1994.
[DOI] 
Christian Holm, Wolfhard Janke.
High Precision SingleCluster MC Measurement of the Critical Exponents of the Classical 3D Heisenberg Model.
Nuclear Physics B: Proceedings Supplements 30:846–849, 1993.
[PDF] (321 KB) [DOI] 
Christian Holm, Wolfhard Janke.
Finitesize scaling study of the threedimensional classical Heisenberg model.
Physics Letters A 173(1):8–12, 1993.
[PDF] (354 KB) [DOI] 
Christian Holm, Wolfhard Janke.
Critical exponents of the classical threedimensional Heisenberg model: A singlecluster Monte Carlo study.
Physical Review B 48(2):936–950, 1993.
[PDF] (2.4 MB) [DOI] 
Joan Adler, Christian Holm, Wolfhard Janke.
HighTemperature Series Analysis of the Classical Heisenberg and XY Model.
Physica A 201(4):581–592, 1993.
[PDF] (969 KB) [DOI] 
Christian Holm, Jörg D. Hennig.
A Poincaré Gauge Theory on Regge Simplexes.
In Classical and Quantum Systems Foundations and Symmetries, Proceedings of the II. International Wigner Symposium, pages 723–726. Edited by H. D. Doebner, W. Scherer, F. Schroeck Jr..
World Scientific, 1991.
[PDF] (31 MB) 
Christian Holm, Jörg D. Hennig.
Regge Calculus with Torsion.
In Group Theoretical Methods in Physics, pages 556–560. Edited by V. V. Dodonov, V. I. Man'ko. Part of Lecture Notes in Physics, volume 382.
Springer, Berlin, Germany, 1991. ISBN: 9783540473633.
[PDF] (587 KB) [DOI] 
Christian Holm.
Differential Geometry, Gauge Theories, and Gravity.
1990.
book review

Christian Holm.
Connections in Bergmann Manifolds.
International Journal of Theoretical Physics 29(1):23–36, 1990.
[PDF] (726 KB) [DOI] 
David Finkelstein, Christian Holm.
NeutrinoNeutrino Scattering in Quantum Network Dynamics.
Bulletin of the American Physical Society 34:114, 1989.

Christian Holm.
The Hyperspin Structure of Unitary Groups.
Journal of Mathematical Physics 29(4):978–986, 1988.
[PDF] (1.2 MB) [DOI] 
Christian Holm.
Neutrino Spectrum of Einstein Universes.
Journal of Mathematical Physics 29(10):2273–2279, 1988.
[PDF] (1015 KB) [DOI] 
Christian Holm.
The Hyperspin Structure of Einstein Universes and Their Neutrino Spectrum.
PhD thesis, Georgia Institute of Technology, 1987.

David Finkelstein, Shlomit Ritz Finkelstein, Christian Holm.
Hypergravitational Field Equations.
Physical Review Letters 59(12):1265–1266, 1987.
[PDF] (95 KB) [DOI] 
Christian Holm.
Christoffel Formula and Geodesic Motion in Hyperspin Manifolds.
International Journal of Theoretical Physics 25(11):1209–1213, 1986.
[PDF] (574 KB) [DOI] 
John Eidson, Sarah Flynn, Christian Holm, D. Weeks, Ronald F. Fox.
Elementary Explanation of Boundary Shading in ChaoticAttractor Plots for the Feigenbaum Map and the Circle Map.
Physical Review A 33(4):2809–2812, 1986.
[PDF] (2.0 MB) [DOI] 
David Finkelstein, Shlomit Ritz Finkelstein, Christian Holm.
Hyperspin Manifolds.
International Journal of Theoretical Physics 25(4):441–463, 1986.
[PDF] (3.2 MB) [DOI] 
Christian Holm.
Spinors in Discrete SpaceTime.
Master's thesis, Georgia Institute of Technology, feb, 1985.