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math.DS2021★ 1 cited
Parametric Geometry of Numbers with General Flow
Omri Nisan Solan
We extend results of parametric geometry of numbers to a general diagonal flow on the space of lattices. Moreover, we compute the Hausdorff dimension of the set of trajectories wit…
math.GN2021★ 1 cited
Browder's Theorem through Brouwer's Fixed Point Theorem
Eilon Solan, Omri N. Solan
One of the conclusions of Browder (1960) is a parametric version of Brouwer's Fixed Point Theorem, stating that for every continuous function , where $X…
math.GN2021
Browder's Theorem with General Parameter Space
Eilon Solan, Omri Nisan Solan
Browder (1960) proved that for every continuous function , where is the unit interval and is a nonempty, convex, and compact subset of $\dR^n$, the se…