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19922024
most citedA generative modeling approach for benchmarking and training shallow quantum circuits

377 citations

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14 papers · 1 filter

math.DG2019

Lens spaces isospectral on forms but not on functions

Ruth Gornet, Jeffrey McGowan

This paper means to correct an error by the authors for the composite case in the paper "Lens Spaces, Isospectral on Forms but not on Functions", published in LMS J. Comput. Ma…

math.DG2017★ 4 cited

Algebraic cmc hypersurface of order 3 in Euclidean spaces

Oscar Perdomo, Vladimir G. Tkachev

We prove that there are not algebraic hypersurfaces of degree 3 in with non zero constant mean curvature.

math.DG2014

Equilibrium Shapes of Cylindrical Rotating Liquid Drops

Bennett Palmer, Oscar Perdomo

See http://www.youtube.com/watch?v=izbGXdjvK_I for a YouTube video showing part of the results in this paper.We will consider surfaces whose mean curvature at a point is a linear f…

math.DG2014★ 6 cited

Rotating Drops with Helicoidal Symmetry

Bennett Palmer, Oscar Perdomo

See http://youtu.be/Mf4IE8gWcJs for a YouTube video showing part of the results in this paper. We consider helicoidal immersions in the Euclidean space whose axis of symmetry is th…

math.DG2013★ 11 cited

Gradient estimates for the heat equation under the Ricci-Harmonic Map flow

Mihai Băileşteanu

The paper establishes a series of gradient estimates for positive solutions to the heat equation on a manifold evolving under the Ricci flow, coupled with the harmonic map flow…

math.DG2013★ 3 cited

Constant Speed Ramps

Oscar M. Perdomo

In this paper we show all possible ramps where an object can move with constant speed under the effect of gravity and friction. The planar ramp are very easy to describe, just rota…