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19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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8 papers · 2 filters

math.PR2021

The conditional measures for the determinantal point process with the Bergman kernel

Alexander I. Bufetov

This note gives an explicit description of conditional measures for the determinantal point process with the Bergman kernel.

math.PR2021★ 3 cited

Segal's axioms and bootstrap for Liouville Theory

Colin Guillarmou, Antti Kupiainen, Rémi Rhodes +1

In 1987 Graeme Segal gave a functorial definition of Conformal Field Theory (CFT) that was designed to capture the mathematical essence of the Conformal Bootstrap formalism pioneer…

math.PR2021

An extension of the Ising-Curie-Weiss model of self-organized criticality with a threshold on the interaction range

Nicolas Forien

In arXiv:1301.6911, Cerf and Gorny constructed a model of self-organized criticality, by introducing an automatic control of the temperature parameter in the generalized Ising Curi…

math.PR2021★ 3 cited

An oscillator driven by algebraically decorrelating noise

Christophe Gomez, Gautam Iyer, Hai Le +1

We consider a stochastically forced nonlinear oscillator driven by a stationary Gaussian noise that has an algebraically decaying covariance function. It is well known that such no…

math.PR2021

The trace-reinforced ants process does not find shortest paths

Daniel Kious, Cécile Mailler, Bruno Schapira

In this paper, we study a probabilistic reinforcement-learning model for ants searching for the shortest path(s) between their nest and a source of food. In this model, the nest an…

math.PR2021

Noise sensitivity for the top eigenvector of a sparse random matrix

Charles Bordenave, Jaehun Lee

We investigate the noise sensitivity of the top eigenvector of a sparse random symmetric matrix. Let be the top eigenvector of an sparse random symmetric matrix wit…