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math.PR2025

Planted clique recovery in random geometric graphs

Konstantin Avrachenkov, Andrei Bobu, Nelly Litvak +1

We investigate the problem of identifying planted cliques in random geometric graphs, focusing on two distinct algorithmic approaches: the first based on vertex degrees (VD) and th…

math.PR2025★ 1 cited

Finite-Time Behavior of Erlang-C Model: Mixing Time, Mean Queue Length and Tail Bounds

Hoang Huy Nguyen, Sushil Mahavir Varma, Siva Theja Maguluri

Resource allocation problems in service systems like data centers and ride-hailing are usually studied using queueing models. Such systems are primarily studied in the steady-state…

math.PR2025★ 1 cited

Uniform-in-time propagation of chaos for the Cucker--Smale model

Nicolai Jurek Gerber, Urbain Vaes

This paper presents an elementary proof of quantitative uniform-in-time propagation of chaos for the Cucker--Smale model under sufficiently strong interaction. The idea is to combi…

math.PR2024

Rigidity of random stationary measures and applications to point processes

Raphaël Lachièze-Rey

The {\it number rigidity} of a stationary point process entails that for a bounded set the knowledge of on a.s. determines ; th…

math.PR2024

Universality of the mean-field equations of networks of Hopfield-like neurons

Olivier Faugeras, Etienne Tanré

We revisit the problem of characterising the mean-field limit of a network of Hopfield-like neurons. Building on the previous works of Ben Arous and Guionnet we establish for a lar…

math.PR2024★ 2 cited

Brownian particles controlled by their occupation measure

Loïc Béthencourt, Rémi Catellier, Etienne Tanré

In this article, we study a finite horizon linear-quadratic stochastic control problem for Brownian particles, where the cost functions depend on the state and the occupation measu…