Rigorous computer-assisted bounds on the period doubling renormalisation fixed point and eigenfunctions in maps with critical point of degree 4

Mathematics

• Bounds 100%
• Critical Point 40%
• Fixed Points 40%
• Renormalisation 40%
• Operators 40%
• Space of Analytic Functions 20%
• Contraction Mapping 20%
• Power Series 20%
• Constant 20%
• Linearization 20%
• Significant Figure 20%

INIS

• maps 40%
• renormalization 40%
• eigenfunctions 40%
• operation 20%
• space 20%
• precision 20%
• mapping 20%
• gain 20%
• computers 20%
• noise 20%
• contraction 20%
• eigenvalues 20%
• scaling 20%
• power series 20%
• analytic functions 20%

Computer Science

• Eigenvector 60%
• Critical Point 40%
• Computer 20%
• Argument 20%
• Contraction Mapping 20%
• Precision Arithmetic 20%