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cat(kappa) spaces 1computational anatomy 1convex order 1deformation registration 1diffeomorphisms 1martingale transport 1metric geometry 1optimal transport 1shape analysis 1varifolds 1

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most citedTrain-Free Segmentation in MRI with Cubical Persistent Homology

5 citations

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math.PR2026

Hyperuniform random measures, transport and rigidity

Raphaël Lachièze-Rey

This survey explores the foundational theory and recent developments in the study of hyperuniformity. We present a comprehensive mathematical framework in the context of weakly sta…

math.PR2026

From smooth to discontinuous kernels: a variance transfer principle for hyperuniform processes

Raphaël Lachièze-Rey

We give a transfer principle for the fluctuations of linear statistics of finite particle systems around Lebesgue measure: if for a smooth kernel the variance decays polynomially w…

math.PR2026★ 1 cited

(Non)-hyperuniformity of perturbed lattices

David Dereudre, Daniela Flimmel, Martin Huesmann +1

We ask whether a stationary lattice in dimension whose points are shifted by identically distributed but possibly dependent perturbations remains hyperuniform. When or…

math.PR2026

Hydrodynamic limit of the directed exclusion process

Ellen Saada, Federico Sau, Assaf Shapira

We derive the Euler (hyperbolic) hydrodynamic limit for the directed exclusion process (DEP), a one-dimensional conservative interacting particle system that preserves particle-hol…

math.PR2026

Convergence to the uniform distribution of moderately self-interacting diffusions on compact Riemannian manifolds

Simon Holbach, Olivier Raimond

We consider a self-interacting diffusion on a smooth compact Riemannian manifold , described by the stochastic differential equation \[ dX_t = \sqrt{2} dW_t(X_t)- β…

math.PR2026

Normal approximation for partial sums: general convex costs

Jérôme Dedecker, Florence Merlevède, Emmanuel Rio

We provide non-asymptotic bounds and asymptotic limits for convex transport costs between the distribution of partial sums of independent and identically distributed square integra…