4 problems

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Extension of hyperuniform variance asymptotics to Lipschitz domains
Domain-extension conjecture. The same conclusions should hold for more general domains, say Lipschitz domains.
Conjectureopenhyperuniformity point-processes variance-asymptoticsarXiv posted 2 days ago
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Linear variance scaling conjecture for the mean width of random-walk convex hulls
Let $V_1(n)$ denote the one-dimensional intrinsic volume, equivalently the perimeter or mean width normalization, of the convex hull of a random walk in dimension $d\geq 1$ . Linear…
Conjectureopenconvex-geometry random-walks variance-asymptoticsarXiv posted 2 days ago
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Strong form of the variance estimate conjecture for stationary Gaussian processes
Let $N(T)$ denote the number of zeroes in an interval of length $T$ of a non-degenerate stationary Gaussian process (SGP), with covariance function $r$ and parameter $\sigma$ as in…
Conjectureopenstationary-gaussian-processes variance-asymptotics zero-countingarXiv posted 2 days ago
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The logarithmic variance conjecture for the perimeter of a planar random walk
The logarithmic variance conjecture. Under these assumptions,
Conjectureopenconvex-hulls random-walks variance-asymptoticsarXiv posted 2 days ago

Extension of hyperuniform variance asymptotics to Lipschitz domains