Results 21 to 30 of about 1,557,823 (130)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Ecology and Evolution, Volume 16, Issue 8, August 2026.When cultures of the microorganism Tetrahymena pyriformis are transferred to environments with different temperature and resource levels, the phenotypic traits of the microorganisms—including cell size, metabolic rate, and movement speed—change.
Andrea Perna +3 more
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DNA‐Enzyme Hybrid Nanostructures: Functional Materials to Modulate Enzymatic Activity
Small, Volume 22, Issue 43, 3 August 2026.DNA–enzyme hybrid nanostructures enable precise spatial and stoichiometric control over enzyme organization, offering a powerful platform to modulate catalytic activity. This review critically evaluates key mechanistic hypotheses, including proximity effects, microenvironment changes, confinement, and stabilization, as well as highlighting ...
Manar Elnaggar, Amelie Heuer‐Jungemann
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Quarter Symmetric Metric Connection on Generalized Semi Pseudo Ricci Symmetric Manifold
, 2015 Object of this paper is to find some properties of generalized semi pseudo Ricci symmetric manifold (denoted by G(SPRS)n ) admitting quarter symmetric metric connection.
Arindam Bhattacharyya, Kalyan Halder
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Advanced Intelligent Systems, Volume 8, Issue 7, July 2026.Four decades of retinal vessel segmentation research (1982–2025) are synthesized, spanning classical image processing, machine learning, and deep learning paradigms. A meta‐analysis of 428 studies establishes a unified taxonomy and highlights performance trends, generalization capabilities, and clinical relevance.
Avinash Bansal +6 more
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Affine hypersurfaces and superintegrable systems
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract It was recently shown that under mild assumptions, second‐order conformally superintegrable systems can be encoded in a (0,3)‐tensor, called structure tensor. For abundant systems, this approach led to algebraic integrability conditions that essentially allow one to restore a system from the knowledge of its structure tensor in a point on the ...
Vicente Cortés, Andreas Vollmer
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Weakly Z-symmetric manifolds [PDF]
, 2011 We introduce a new kind of Riemannian manifold that includes weakly-, pseudo- and pseudo projective Ricci symmetric manifolds. The manifold is defined through a generalization of the so called Z tensor; it is named weakly Z-symmetric and is denoted by ...
C. A. Mantica +3 more
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Diffusion–Model–Driven Discovery of Ferroelectrics for Photocurrent Applications
Advanced Science, Volume 13, Issue 31, 4 June 2026.We developed a diffusion model–based generative AI and high‐throughput screening framework that accelerates the discovery of photovoltaic ferroelectrics. By coupling AI driven crystal generation with machine learning and DFT screening, we identified Ca3P2 and LiCdP as new ferroelectric materials exhibiting strong polarization, feasible switching ...
Byung Chul Yeo +3 more
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ON WEAKLY SYMMETRIC AND SPECIAL WEAKLY RICCI SYMMETRIC LP-SASAKIAN MANIFOLDS ADMITTING SEMI-SYMMETRIC SEMI-METRIC CONNECTION [PDF]
The aim of this paper is to study the geometric properties of LP-Sasakian manifolds with respect to Levi-Civita connection when they are weakly symmetric, weakly Ricci symmetric and special weakly symmetric with respect to semi-symmetric semi-metric ...
Bagewadi, Channabasappa Shanthappa +1 more
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Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
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