5 problems

Self-intersection expansion conjecture. If the terms containing $\tau^m$ are generated by diagrams with $n=m-1$ self-intersections, then

Let $\Lambda$ be a random diagonal Hamiltonian whose diagonal entries are independent and uniformly distributed on $(0,2\pi)$, and let $d$ denote the Hilbert-space dimension. For a…

Let $K_{\mathbf{F}}(\tau,\tau^*)$ be the dissipative spectral form factor for matrices over $\mathbf{F}$, and let $J_1$ denote the Bessel function appearing in the formula. Let…

Let $K_{\mathbf{C}}(\tau,\tau^*)$ denote the dissipative spectral form factor for a complex matrix $X$, and let a non-Hermitian chaotic operator mean a chaotic operator whose spect…

Let $\mathcal M'_T$ be the commutant of the algebra generated by the operators $M_a$ and $M_{ab,\iota}+R_{2t}M_{ab,\iota}R_{2t}$ on the periodic chain of $2t$ spins, where $R_{2t}$…