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We gives an explicit genus 3 curve over Q such that the Galois action on the torsion points of its Jacobian is a large as possible. That such curves exist is a consequence of a theorem of D. Zureick-B...
The modern trend in statistics and probability is to consider the case where both the number of dimensions d and the sample size n are large [19, 21]. In that case, the intuition fostered by the cla...
In this note we show that in metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we always have geodesics in the Wasserstein space of probability measures that satisfy ...
Abstract: In this article, we introduce a mass-decreasing flow for asymptotically flat three-manifolds with nonnegative scalar curvature. This flow is defined by iterating a suitable Ricci flow with s...
Let n  2 be an integer, and let i 2 f0; : : : ; n 􀀀 1g. An i-th dimension edge in the n-dimensional hypercube Qn is an edge v1v2 such that v1; v2 di er just at their i-th entries. The parity...
The main result of this paper is to show that if N is a normal subgroup of a Kleinian group G such that G/N contains a coset which is represented by some loxodromic element, then the Hausdorff dimensi...
We show that the length of an arbitrary ascending chain has geometric meaning and hence describes certain natural properties for the ascending chain. The results proved in this paper can be used to e...

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