Documents Lecture 3. A Proof of Ihara’s Theorem, Edge & Path Zetas, Connections with Quantum Chaos Audrey...

Lecture 3. A Proof of Ihara’s Theorem, Edge & Path Zetas, Connections with Quantum Chaos Audrey Terras Correction to lecture 1 The 4-regular tree T4 can be identified…

Documents Lecture 4. Proof of Ihara’s Theorem, Edge Zetas, Quantum Chaos

Lecture 4. Proof of Ihara’s Theorem, Edge Zetas, Quantum Chaos Ihara’s Theorem. A=adjacency matrix, Q +I = diagonal matrix of degrees, r=rank fundamental group. Ihara…