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Publications Influence

Self-replication with errors. A model for polynucleotide replication.

- J. Swetina, P. Schuster
- Chemistry, Medicine
- Biophysical chemistry
- 1 December 1982

A model for polynucleotide replication is presented and analyzed by means of perturbation theory. Two basic assumptions allow handling of sequences up to a chain length of v approximately 80… Expand

339 17

Stationary mutant distributions and evolutionary optimization.

- P. Schuster, J. Swetina
- Biology, Medicine
- Bulletin of mathematical biology
- 1988

Molecular evolution is modelled by erroneous replication of binary sequences. We show how the selection of two species of equal or almost equal selective value is influenced by its nearest neighbours… Expand

195 12

Stationary mutant distributions and evolutionary optimization

- P. Schuster, J. Swetina
- Biology
- 1988

Molecular evolution is modelled by erroneous replication of binary sequences. We show how the selection of two species of equal or almost equal selective value is influenced by its nearest neighbours… Expand

20 2

Continuity and nodal properties near infinity for solutions of $2$-dimensional Schrödinger equations

- M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof, J. Swetina
- Mathematics
- 1 March 1986

On considere des solutions W 2,2 a valeurs reelles Ψ(x) de (−Δ+V−E)Ψ=0 pour x∈Ω R , Ω R ={x∈R 2 :|x|=r>R}, R>0. On suppose que E 0

7 1

First and second moments and the mean hamming distance in a stochastic replication-mutation model for biological macromolecules

- J. Swetina
- Mathematics, Medicine
- Journal of mathematical biology
- 1989

In this work first and second moments for a many species Moran model are calculated. The model describes by means of a time-continuous birth- and death process the evolution of an ensemble of N… Expand

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Pointwise bounds on the asymptotics of spherically averaged $L^2$-solutions of one-body Schrödinger equations

- M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof, J. Swetina
- Mathematics
- 1985

Let (−Δ+V-E)ψ=0 in Ω R ={x∈R n :|x|>R}, ψ∈L 2 (Ω R ) where V=V 1 (|x|)+V 2 (x) and E 0. We shall suppose that V tends to zero in some sense as |x|→∞. We give conditions on V so that for r=|x| large 0… Expand

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A symptotics and continuity properties near infinity of solutions of Schrödinger equations in exterior domains

- M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof, J. Swetina
- Mathematics
- 1987

Let (−Δ+V−E)ψ=0 in Ω R ={x∈R/|x|>R}, ψ∈L 2 (Ω R ), where E R where v>0 and v→0 for |x|→∞. Previous results on the asymptotics on ψ/v for n=2 are here extended to the n-dimensional case: It is shown… Expand

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