Variants of a theorem of Macbeath in finite‐dimensional normed spaces
Mathematika, Volume 72, Issue 2, April 2026.Abstract A classical theorem of Macbeath states that for any integers d⩾2$d \geqslant 2$, n⩾d+1$n \geqslant d+1$, d$d$‐dimensional Euclidean balls are hardest to approximate, in terms of volume difference, by inscribed convex polytopes with n$n$ vertices.
Zsolt Lángi, Shanshan Wang
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Failure of stability of a maximal operator bound for perturbed Nevo–Thangavelu means
Mathematika, Volume 72, Issue 2, April 2026.Abstract Let G$G$ be a two‐step nilpotent Lie group, identified via the exponential map with the Lie‐algebra g=g1⊕g2$\mathfrak {g}=\mathfrak {g}_1\oplus \mathfrak {g}_2$, where [g,g]⊂g2$[\mathfrak {g},\mathfrak {g}]\subset \mathfrak {g}_2$. We consider maximal functions associated to spheres in a d$d$‐dimensional linear subspace H$H$, dilated by the ...
Jaehyeon Ryu, Andreas Seeger
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On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4214-4240, 30 March 2026.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
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Hyperbolic P ( Φ ) 2 -model on the Plane. [PDF]
Commun Math PhysOh T, Tolomeo L, Wang Y, Zheng G.
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Varifold solutions to volume-preserving mean curvature flow: existence and weak-strong uniqueness. [PDF]
Math AnnPoiatti A.
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Model for Aqueous Polymer Solutions with Damping Term: Solvability and Vanishing Relaxation Limit. [PDF]
Polymers (Basel), 2022 Baranovskii ES, Artemov MA.
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Arrow of Time in Quantum Mechanics and Set Theory. [PDF]
Entropy (Basel)Król J.
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Rare Events Statistics for Z d Map Lattices Coupled by Collision. [PDF]
Commun Math PhysBahsoun W, Phalempin M.
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Microwave-Based Subsurface Characterization through a Combined Finite Element and Variable Exponent Spaces Technique. [PDF]
Sensors (Basel), 2022 Schenone V +5 more
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Existence and stability of time-fractional Keller-Segel-Navier-Stokes system with Poisson jumps. [PDF]
Sci RepDivyabala K, Durga N.
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