Filip Rupniewski

most citedBorder subrank via a generalised Hilbert-Mumford criterion

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.AG2024★ 2 cited

Border subrank via a generalised Hilbert-Mumford criterion

Benjamin Biaggi, Chia-Yu Chang, Jan Draisma +1

We show that the border subrank of a sufficiently general tensor in $(C^{n})^{\otimes d}$ is $O (n^{1/ (d - 1)})$ for $n \to \infty$ . Since this matches the growth rat…

math.AG2022

Countably many asymptotic tensor ranks

Andreas Blatter, Jan Draisma, Filip Rupniewski

In connection with recent work on gaps in the asymptotic subranks of complex tensors the question arose whether the number of nonnegative real numbers that arise as the asymptotic…

math.AG2022

A Tensor Restriction Theorem over Finite Fields

Andreas Blatter, Jan Draisma, Filip Rupniewski

Restriction is a natural quasi-order on $d$ -way tensors. We establish a remarkable aspect of this quasi-order in the case of tensors over a fixed finite field -- namely, that it is…