Felix Joos

activity

20232025

collaborators

3 papers

math-ph2025

The large $N$ factorization does not hold for arbitrary multi-trace observables in random tensors

Razvan Gurau, Felix Joos, Benjamin Sudakov

We consider real tensors of order $D$ , that is $D$ -dimensional arrays of real numbers $T_{a^{1} a^{2} \dots a^{D}}$ , where each index $a^{c}$ can take $N$ values. The tensor entries $T_{a^1…

math.CO2024

Asymptotically Enumerating Independent Sets in Regular $k$ -Partite $k$ -Uniform Hypergraphs

Patrick Arras, Frederik Garbe, Felix Joos

The number of independent sets in regular bipartite expander graphs can be efficiently approximated by expressing it as the partition function of a suitable polymer model and trunc…

math.CO2023

Independent sets in discrete tori of odd sidelength

Patrick Arras, Felix Joos

It is a well known result due to Korshunov and Sapozhenko that the hypercube in $n$ dimensions has $(1 + o (1)) \cdot 2 e \cdot 2^{2^{n - 1}}$ independent sets. Jenssen and Keev…

The large N factorization does not hold for arbitrary multi-trace observables in random tensors

Asymptotically Enumerating Independent Sets in Regular k-Partite k-Uniform Hypergraphs

Independent sets in discrete tori of odd sidelength

The large $N$ factorization does not hold for arbitrary multi-trace observables in random tensors

Asymptotically Enumerating Independent Sets in Regular $k$ -Partite $k$ -Uniform Hypergraphs