Nondifferentiability of curves on the Brownian sheet
The geometry of the level sets of the Brownian sheet \(W(t,s)\), \((t,s)\in R^2\), on the nonnegative quadrant is investigated. In particular, the event ``there exists a continuous injective function \(\gamma\) from \([0,1]\) to \((0,\infty)^2\) and \(x\in(0,1)\) such that \(\gamma\) has a nonzero gradient at \(x\) and \(W(\gamma)\) is differentiable at \(x\)'' has probability \(0\).
scientific article; zbMATH DE number 926208
scientific article