3 problems

Pseudospectrum winding-number conjecture. The component of the $\varepsilon$-pseudospectrum containing $\lambda_0$ satisfies

Let $n$ be the matrix size, let $m\geq 1$ be fixed, and let $S_{\delta J}^{(2)}(m)$ denote model 2. Let $\lambda_0$ be the distinguished point included in its pseudospectrum, and l…

Let $S_{\delta J}^{(2)}(m)$ denote the model 2 matrix, with matrix size $n$, parameters $\delta$ and $a$, and let $\lambda_0$ be the distinguished eigenvalue of the original system…