Spectral properties of Eigen evolution matrices

✍ Scribed by David S. Rumschitzki

• Publisher: Springer
• Year: 1987
• Tongue: English
• Weight: 744 KB
• Volume: 24
• Category: Article
• ISSN: 0303-6812
• DOI: 10.1007/bf00275509

✦ Synopsis

Eigen has employed deterministic kinetic-like equations to describe macromolecular replication and mutation leading to selection. The solutions to these equations and their physically interesting properties depend upon the spectrum of a type of matrix appearing in those equations. Below we explicitly solve for the spectrum of a fairly general class of such matrices. These solutions are obtained recursively for equations describing macromolecules of any length v.