output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

researchers with a paper here
collaborating institutions
Showing 2024 · math.PRShow all

13 papers · 2 filters

math.PR2024★ 4 cited

The Expectation of a Multiplicative Functional under the Sine-Process

Alexander I. Bufetov

An explicit expression for the expected value of a regularized multiplicative functional under the sine-process is obtained by passing to the scaling limit in the Borodin-Okounkov-…

math.PR2024

A SIR epidemic model on a refining spatial grid II-Central limit theorem

Thierry Gallouët, Etienne Pardoux, Ténan Yeo

A stochastic SIR epidemic model taking into account the heterogeneity of the spatial environment is constructed. The deterministic model is given by a partial differential equation…

math.PR2024

Higher-spin symmetry in the boundary Toda conformal field theory I: Ward identities

Baptiste Cerclé, Nathan Huguenin

This article is the first of a two-part series dedicated to studying the symmetries enjoyed by the probabilistic construction of the boundary Toda Conformal Field…

math.PR2024

On the intersection of critical percolation clusters and other tree-like random graphs

Amine Asselah, Bruno Schapira

We study intersection properties of two or more independent tree-like random graphs. Our setting encompasses critical, possibly long range, Bernoulli percolation clusters, incipien…

math.PR2024

Outliers of perturbations of banded Toeplitz matrices

Charles Bordenave, François Chapon, Mireille Capitaine

Toeplitz matrices form a rich class of possibly non-normal matrices whose asymptotic spectral analysis in high dimension is well-understood. The spectra of these matrices are notor…

math.PR2024

Freeness for tensors

Remi Bonnin, Charles Bordenave

We pursue the current developments in random tensor theory by laying the foundations of a free probability theory for tensors and establish its relevance in the study of random ten…