Paul Breiding

activity

20212024

most citedThe Algebraic Degree of Coupled Oscillators

2 citations · 2 across the 4 of their papers we have counts for

collaborators

Showing math.AGShow all

3 papers · 1 filter

math.AG2024

Typical ranks of random order-three tensors

Paul Breiding, Sarah Eggleston, Andrea Rosana

In this paper we study typical ranks of real $m \times n \times ℓ$ tensors. In the case $(m - 1) (n - 1) + 1 \leq ℓ \leq mn$ the typical ranks are contained in ${ℓ, ℓ + 1}$ ,…

math.AG2024

Degree of the subspace variety

Paul Breiding, Pierpaola Santarsiero

Subspace varieties are algebraic varieties whose elements are tensors with bounded multilinear rank. In this paper, we compute their degrees by computing their volumes.

math.AG2022★ 2 cited

The Algebraic Degree of Coupled Oscillators

Paul Breiding, Mateusz Michałek, Leonid Monin +1

Approximating periodic solutions to the coupled Duffing equations amounts to solving a system of polynomial equations. The number of complex solutions measures the algebraic comple…