Results 81 to 90 of about 2,265 (192)

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
wiley   +1 more source

Gromov - Hausdorff Convergence and Topological Stability for Actions on Wasserstein Hyperspaces

Journal of Applied Sciences and Environmental Management
In this paper, we make use of topological stability from Gromov – Hausdorff view point to establish the Gromov – Hausdorff convergence and stability of induced actions on Wasserstein hyperspaces between maps.
M. A. Morawo, M. L. Danyaro, A. S. Bailey, K. Y. Azeez   +3 more
doaj  

Stability of common fixed points in uniform spaces

Fixed Point Theory and Applications, 2011
Stability results for a pair of sequences of mappings and their common fixed points in a Hausdorff uniform space using certain new notions of convergence are proved. The results obtained herein extend and unify several known results.
Singh Shyam, Mishra Swaminath, Stofile Simfumene   +2 more
doaj  

Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces

Journal of Graph Theory, Volume 112, Issue 4, Page 491-506, August 2026.
ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) is said to be ( X , Y )‐embeddable if any set of induced edge lengths from an embedding of G into a ...
Sean Dewar, Eleftherios Kastis, Derek Kitson, William Sims   +3 more
wiley   +1 more source

A modality‐agnostic coronary artery habitat model for cardiac sparing in radiotherapy

Medical Physics, Volume 53, Issue 8, August 2026.
Abstract Background Emerging evidence suggests that the risk of cardiotoxicity increases with increased radiation dose to coronary arteries (CAs). However, robust tools to evaluate this increased burden for cancer patients are not available due to current limitations in imaging for radiotherapy treatment planning.
Chase Ruff, Nicholas Summerfield, Ming Dong, Prashant Nagpal, Adam Bayliss, Andrew M. Baschnagel, Carri K. Glide‐Hurst   +6 more
wiley   +1 more source

Homogenisation of Wasserstein gradient flows

European Journal of Applied Mathematics
We prove the convergence of a Wasserstein gradient flow of a free energy in inhomogeneous media. Both the energy and media can depend on the spatial variable in a fast oscillatory manner.
Yuan Gao, Nung Kwan Yip
doaj   +1 more source

Development of an Artificial Intelligence–Driven Three‐Dimensional Reconstruction Model of Renal Vasculature for Surgical Planning in Robot‐Assisted Partial Nephrectomy

The International Journal of Medical Robotics and Computer Assisted Surgery, Volume 22, Issue 4, August 2026.
ABSTRACT Background This single‐centre study aimed to implement and internally validate a deep learning pipeline based on a 3D SegResNet architecture for automatic segmentation of renal vascular structures from contrast‐enhanced CT images, enabling accurate three‐dimensional reconstructions to support surgical planning in robot‐assisted partial ...
Davide Brusa, Riccardo Bertolo, Francesco Ditonno, Greta Pettenuzzo, Lorenzo Pierangelo Treccani, Alessandro Veccia, Filippo Caudana, Francesco Fontana, Maria Angela Cerruto, Alessandro Antonelli   +9 more
wiley   +1 more source

Rendering transparency to ranking in educational assessment via Bayesian comparative judgement

Review of Education, Volume 14, Issue 2, August 2026.
Abstract Transparency in educational assessment has become an increasingly pressing concern, particularly in the aftermath of the pandemic, as institutions seek more equitable, robust and defensible methods of evaluating student work. Comparative judgement (CJ) has gained traction as a promising alternative to traditional rubric‐based marking. However,
Andy Gray, Stephen Lindsay, Jen Pearson, Tom Crick, Alma Rahat   +4 more
wiley   +1 more source

Remarks on the Relationship Between Fractal Dimensions and Convergence Speed

Fractal and Fractional
This paper conducts an in-depth investigation into the fundamental relationship between the fractal dimensions and convergence properties of mathematical sequences.
Jiaqi Qiu, Yongshun Liang
doaj   +1 more source

Testing for Conformity With Parametric Distributions Using Level Sets: From Univariate to Bivariate Applications

Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 4, August 2026.
ABSTRACT Conformity of observed data with a postulated probability distribution is a fundamental problem of statistical modeling. Current tools for checking distributional conformity are often limited to univariate settings, with extensions to multivariate distributions facing challenges in interpretability and power.
Rasha Alsaadawi, Nitai D. Mukhopadhyay
wiley   +1 more source