1 citations · 1 across the 4 of their papers we have counts for
4 papers
On the signature of squared distance matrices of metric measure spaces
Alexey Kroshnin, Tianyu Ma, Eugene Stepanov
We consider the numbers of positive and negative eigenvalues of matrices of squared distances between randomly sampled i.i.d. points in a given metric measure space. These numbers…
Some new functionals related to free boundary minimal submanifolds
Tianyu Ma, Vladimir Medvedev
The metrics induced on free boundary minimal surfaces in geodesic balls in the upper unit hemisphere and hyperbolic space can be characterized as critical metrics for the functiona…
On eigenvalues and eigenfunctions of the operators defining multidimensional scaling on some symmetric spaces
Tianyu Ma, Eugene Stepanov
We study asymptotics of the eigenvalues and eigenfunctions of the operators used for constructing multidimensional scaling (MDS) on compact connected Riemannian manifolds, in parti…
Canonical curves and Kropina metrics in Lagrangian contact geometry
T. Ma, K. J. Flood, V. S. Matveev +1
We present a Fefferman-type construction from Lagrangian contact to conformal structures and examine several related topics. In particular, we concentrate on describing the canonic…