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Exploiting the techniques introduced for proving that straight-line upward RAC drawings of upward planar digraphs may require exponential area, we also show that there exist
NIRENBERG “Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary value condition I” Comm.. TRUDINGER “Elliptic
The problem of characterizing linear maps preserving idempotence belongs to a large group of the so-called linear preserver problems (see [3] and the references therein).. The theory
By multiplying the constants that appear in the Lemma by constants that depend only on d , we can assume that the conditions in the Lemma hold for the Euclidean norm... We prove
Let G = (V, E) be a finite graph 3. We wish to sample from π by running a reversible MC on S , but allow only transitions that change the state of one node at a time, i.e. We
We also construct a planar random motion described by a particle moving at finite velocity and changing direction at times spaced by the fractional Poisson process N ν.. For this
The radial projection of a Brownian motion started at the origin and run for unit time in d dimensions defines a random occupation measure on the sphere S d− 1.. Can we determine
[7] and Evans [8] on the convex hull of planar Brownian path on the unit time interval (recall e.g. that the convex hull is a C 1 curve and that the set of times in [0 , 1] at which
