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Self-replication with errors. A model for polynucleotide replication.
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 80Expand
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Stationary mutant distributions and evolutionary optimization.
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 neighboursExpand
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Stationary mutant distributions and evolutionary optimization
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 neighboursExpand
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Continuity and nodal properties near infinity for solutions of $2$-dimensional Schrödinger equations
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
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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 NExpand
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Pointwise bounds on the asymptotics of spherically averaged $L^2$-solutions of one-body Schrödinger equations
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 0Expand
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A symptotics and continuity properties near infinity of solutions of Schrödinger equations in exterior domains
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 shownExpand
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