most citedMean field, hydrodynamic and graph limits for deterministic interacting particle systems: a survey with quantitative estimates

5 citations

5 papers

math.AP2026

On a relaxed Cahn-Hilliard tumour growth model with single-well potential and degenerate mobility

Cecilia Cavaterra, Matteo Fornoni, Maurizio Grasselli +1

We consider a phase-field system modelling solid tumour growth. This system consists of a Cahn-Hilliard equation coupled with a nutrient equation. The former is characterised by a…

math.OC20261 cited

Turnpike in optimal control and beyond: a survey

Emmanuel Trélat, Enrique Zuazua

The turnpike principle is a fundamental concept in optimal control theory, stating that for a wide class of long-horizon optimal control problems, the optimal trajectory spends mos…

math.AP2026

Weyl formulae for some singular metrics with application to acoustic modes in gas giants

Yves Colin de Verdìère, Charlotte Dietze, Maarten V. de Hoop +1

This paper is motivated by recent works on inverse problems for acoustic wave propagation in the interior of gas giant planets. In such planets, the speed of sound is isotropic and…

quant-ph2026

Quantum Circuits for the Metropolis-Hastings Algorithm

Baptiste Claudon, Pablo Rodenas-Ruiz, Jean-Philip Piquemal +1

Szegedy's quantization of a reversible Markov chain provides a quantum walk whose spectral gap is quadratically larger than that of the classical walk. Quantum computers are theref…

math.AP20265 cited

Mean field, hydrodynamic and graph limits for deterministic interacting particle systems: a survey with quantitative estimates

Thierry Paul, Emmanuel Trélat

We present a unified framework, with quantitative estimates, for deterministic interacting particle systems whose pairwise interactions may depend on heterogeneous labels. Heteroge…