Representative Publications

Mathematics of Simulations

C.L. Barrett and C.M. Reidys, "Elements of a Theory of Simulation I: Sequential CA Over Random Graphs," Appl. Math. and Comput., 98:241-259, 1999.

C.L Barrett, H.S. Mortveit, and C.M. Reidys, "Elements of a Theory of Simulation II: Sequential Dynamical Systems," Appl. Math. and Comput., 107(2-3):121--136, 2000.

C.L Barrett, H.S. Mortveit, and C.M. Reidys, "Elements of a Theory of Simulation III: Equivalence of SDS," Appl. Math. and Comput., 122:325-340, 2001.

C.L Barrett, H.S. Mortveit, and C.M. Reidys, "Elements of a Theory of Simulation IV: Fixed Points, Invertibility and Equivalence," Appl. Math. And Comput., 2001. In press (2001).

C.L Barrett, H.S. Mortveit, and C.M. Reidys, "Elements of a Theory of Simulation V: Phase Space Properties of Sequential Dynamical Systems," Appl. Math. and Comput., 2002. Submitted.

C.M. Reidys, "Acyclic Orientations of Random Graphs," Advances in Applied Mathematics, 21:181-192, 1998.

H.S. Mortveit and C.M. Reidys, "Discrete, Sequential Dynamical Systems," Discrete Mathematics, 226:281-295, 2000.

C.M. Reidys, "On Acyclic Orientations and Sequential Dynamical Systems,"Advances in Applied Mathematics, 27:790-804, 2001.

C.M. Reidys, "Sequential Dynamical Systems: Phase Space Properties," Advances in Applied Mathematics, 2002. In preparation.

H.S. Mortveit and C. M. Reidys, "Towards a Calculus of Biological Networks," Z. Phys. Chem., 216:1--13, 2001.

S. Kopp and C.M. Reidys, "Neutral Networks: A Combinatorial Perspective," Adv. Comples Systems, 2:283 -- 301, 2000.

C.M. Reidys and P.F. Stadler, "Combinatorial Landscapes," SIAM Reviews, 44(1):3-54, 2002.

C.M. Reidys, "Random Induced Subgraphs of Generalized n-Cubes," Advances in Applied Mathematics, 19:360-377, 1997.

C.M. Reidys, "Random Subgraphs of Cayley Graphs Over p-Groups," Europ. J. of Comb., 21:1057-1066, 2000.

C.L Barrett, H.S. Mortveit, and C.M. Reidys, "On Theoretical Issues of Computer Simulations - Sequential Dynamical Systems," In World Multiconference on SYSTEMICS, CYBERNETICS and INFORMATICS -- SCI 98", July 12-16, 1998, Orlando, Florida, Proceedings, volume4, pages 141--147, July 1998.

S.Kopp, H.S. Mortveit, and C.M. Reidys, "Sequential Dynamical Systems and Simulation," In Proceedings to the Genetic and Evolutionary Computation Conference, July 13-17, 1999, Orlando, Florida, (GECCO 99), volume 2, page 1445, July 1999.

C.L. Barrett, B.W. Bush, S.Kopp, H.S. Mortveit, and C.M. Reidys, "Sequential Dynamical Systems and Applications to Simulations,"in 33rd Annual Simulation Symposium [Proceedings to be printed by IEEE Computer Society Press in cooperation with ACM (Association for Computing Machinery)], April 2000.

C.L. Barrett, H.S. Mortveit, and C.M. Reidys, "Factorization of Simulations," in Applied Simulation and Modeling (Proceedings of the IASTED International Conference), pages 388--392, September 2001.

C.M. Reidys and C.L. Barrett, "Mutation and Molecules: Towards Mutation Based Computation," in Proceedings of the 1st World Congress on Systems Simulation, Singapore, 1997.

Back to Top

Mathematics and Computational Biology

C.M. Reidys and P.F. Stadler,
"Neutrality in Fitness Landscapes", Appl. Math. Comp.(1999).

C.M. Reidys, P.F. Stadler, and P.K. Schuster,
 "Generic Properties of Combinatory Maps and Neutral Networks of RNA Secondary Structures", Bull. Math. Biol., 1997, vol. 59, num. 2, pages 339 - 397.

C.M. Reidys and P.F. Stadler,
 "Bio-Molecular Shapes and Algebraic Structures", Computers and Chemistry, 1996, vol.20, num.1, pages 85 - 94.

C.M. Reidys
 "Random Graphs and Sequence to Structure Maps", Combinatorics Probability and Computing (1997).

C.M. Reidys, C.V. Forst, and P.K. Schuster,
"Replication and Mutation on Neutral Networks of RNA Secondary Structures", Bull. Math. Biol. (1998).

S. Kopp, C.M. Reidys, and P.K. Schuster,
"Self-Organization of Complex Structures: From Individual to Collective Dynamics",
 Exploration of artificial landscapes based on random graphs, Gordon and Breach (1996), ISBN: 90-5699-027-6, editor F.Schweitzer, London, UK, pages 179 - 187.

P.K. Schuster, J. Weber, W. Gruener, and C.M. Reidys,
"Physics of Biological Systems: From Molecules to Species",
Molecular Evolutionary Biology: From Concepts to Technology, Springer 1996, editor H. Flyvbjerg, J. Hertz, M.H. Jensen, O.G. Mouritsen, and K. Sneppen, Berlin, Heidelberg, New York.

Walter Gr"uner, Robert Giegerich, Dirk Strothmann, Christian Reidys, Jaqueline Weber, Ivo L. Hofacker, Peter F. Stadler, and Peter Schuster,
"Analysis of RNA Sequence Structure Maps by Exhaustive Enumeration {I.} Neutral Networks", Chemical Monthly, year 1996, vol.127, pages 355-374.

Walter Gr"uner, Robert Giegerich, Dirk Strothmann, Christian Reidys, Jaqueline Weber, Ivo L. Hofacker, Peter F. Stadler, and Peter Schuster,
"Analysis of RNA Sequence Structure Maps by Exhaustive Enumeration {II.} Structures of Neutral Networks and Shape Space Covering", Chemical Monthly (1996), vol.127, pages 375-389.

Back to Top