Results 31 to 40 of about 7,484 (115)
Splitting the difference: Computations of the Reynolds operator in classical invariant theory
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract If G$G$ is a linearly reductive group acting rationally on a polynomial ring S$S$, then the inclusion SG↪S$S^{G} \hookrightarrow S$ possesses a unique G$G$‐equivariant splitting, called the Reynolds operator. We describe algorithms for computing the Reynolds operator for the classical actions as in Weyl's book.
Aryaman Maithani
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Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation
Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2305-2353, December 2025.Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
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W‐algebras, Gaussian free fields, and g$\mathfrak {g}$‐Dotsenko–Fateev integrals
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract Based on the intrinsic connection between Gaussian free fields and the Heisenberg vertex algebra, we study some aspects of the correspondence between probability theory and W$W$‐algebras. This is first achieved by providing a construction of the W$W$‐algebra associated to a complex simple Lie algebra g$\mathfrak {g}$ by means of Gaussian free ...
Baptiste Cerclé
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Soft Robots Proprioception Through Stretchable Laser‐Induced Graphene Strain Sensors
Advanced Intelligent Systems, Volume 7, Issue 10, October 2025.This study demonstrates the potential of laser‐induced graphene and silicone sensors for soft pneumatic grippers’ proprioception. The sensors are thin, stretchable, mechanically transparent, and easy to integrate. Finite‐element method analysis identifies the finger's neutral bending plane and four sensor positions are tested to validate the ...
Giovanna De Luca +6 more
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Communications on Pure and Applied Mathematics, Volume 78, Issue 10, Page 2001-2118, October 2025.Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta +2 more
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Procedural Multiscale Geometry Modeling using Implicit Surfaces
Computer Graphics Forum, Volume 44, Issue 7, October 2025.Abstract Materials exhibit geometric structures across mesoscopic to microscopic scales, influencing macroscale properties such as appearance, mechanical strength, and thermal behavior. Capturing and modeling these multiscale structures is challenging but essential for computer graphics, engineering, and materials science.
Bojja Venu +2 more
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Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
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Mathematika, Volume 71, Issue 4, October 2025.Abstract We prove the direct and the converse inequalities for type IV superorthogonality in the vector‐valued setting. The converse one is also new in the scalar setting.
Jianghao Zhang
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Advanced Science, Volume 12, Issue 33, September 4, 2025.Lyophilization is a key process used in the production of biotherapeutic products. This article reviews and discusses the application of HSI on lyophilization, and the strategies that use the resulting data to build models. It is intended to provide guidance and insights for non‐specialist researchers and engineers into leveraging HSI and the data ...
Huiwen Yu +5 more
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Mean‐field limit of non‐exchangeable systems
Communications on Pure and Applied Mathematics, Volume 78, Issue 4, Page 651-741, April 2025.Abstract This paper deals with the derivation of the mean‐field limit for multi‐agent systems on a large class of sparse graphs. More specifically, the case of non‐exchangeable multi‐agent systems consisting of non‐identical agents is addressed. The analysis does not only involve PDEs and stochastic analysis but also graph theory through a new concept ...
Pierre‐Emmanuel Jabin +2 more
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