On the topology of solutions to random continuous constraint satisfaction problems
We consider the set of solutions to $M$ random polynomial equations whose $N$ variables are restricted to the $(N-1)$-sphere. Each equation has independent Gaussian coefficients and a target value $V_0$. When solutions exist, they form a manifold. We compute the average Euler characteristic of this...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SciPost
2025-05-01
|
| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.18.5.158 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|