Results 101 to 110 of about 351,042 (257)

A note on cables and the involutive concordance invariants

Bulletin of the London Mathematical Society, EarlyView.
Abstract We prove a formula for the involutive concordance invariants of the cabled knots in terms of those of the companion knot and the pattern knot. As a consequence, we show that any iterated cable of a knot with parameters of the form (odd,1) is not smoothly slice as long as either of the involutive concordance invariants of the knot is nonzero ...
Kristen Hendricks, Abhishek Mallick
wiley   +1 more source

The birational geometry of GIT quotients

Bulletin of the London Mathematical Society, EarlyView.
Abstract Geometric invariant theory (GIT) produces quotients of algebraic varieties by reductive groups. If the variety is projective, this quotient depends on a choice of polarisation; by work of Dolgachev–Hu and Thaddeus, it is known that two quotients of the same variety using different polarisations are related by birational transformations.
Ruadhaí Dervan, Rémi Reboulet
wiley   +1 more source

Removing scalar curvature assumption for Ricci flow smoothing

Bulletin of the London Mathematical Society, EarlyView.
Abstract In recent work of Chan–Huang–Lee, it is shown that if a manifold enjoys uniform bounds on (a) the negative part of the scalar curvature, (b) the local entropy, and (c) volume ratios up to a fixed scale, then there exists a Ricci flow for some definite time with estimates on the solution assuming that the local curvature concentration is small ...
Adam Martens
wiley   +1 more source

An effective encoding of human medical conditions in disease space provides a versatile framework for deciphering disease associations

Quantitative Biology, Volume 13, Issue 3, September 2025.
Abstract It is challenging to identify comorbidity patterns and mechanistically investigate disease associations based on health‐related data that are often sparse, large‐scale, and multimodal. Adopting a systems biology approach, embedding‐based algorithms provide a new perspective to examine diseases under a unified framework by mapping diseases into
Tianxin Xu, Yu Li, Xin Gao, Andrey Rzhetsky, Gengjie Jia   +4 more
wiley   +1 more source

The Picard group in equivariant homotopy theory via stable module categories

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
wiley   +1 more source

On Rainbow Turán Densities of Trees

Random Structures &Algorithms, Volume 66, Issue 3, May 2025.
ABSTRACT For a given collection 𝒢=(G1,…,Gk) of graphs on a common vertex set V$$ V $$, which we call a graph system, a graph H$$ H $$ on a vertex set V(H)⊆V$$ V(H)\subseteq V $$ is called a rainbow subgraph of 𝒢 if there exists an injective function ψ:E(H)→[k]$$ \psi :E(H)\to \left[k\right] $$ such that e∈Gψ(e)$$ e\in {G}_{\psi (e)} $$ for each e∈E(H)$$
Seonghyuk Im, Jaehoon Kim, Hyunwoo Lee, Haesong Seo   +3 more
wiley   +1 more source

Testing covariance separability for continuous functional data

Journal of Time Series Analysis, Volume 46, Issue 3, Page 402-420, May 2025.
Analyzing the covariance structure of data is a fundamental task of statistics. While this task is simple for low‐dimensional observations, it becomes challenging for more intricate objects, such as multi‐variate functions. Here, the covariance can be so complex that just saving a non‐parametric estimate is impractical and structural assumptions are ...
Holger Dette, Gauthier Dierickx, Tim Kutta   +2 more
wiley   +1 more source

A Hybrid Deep Learning Paradigm for Robust Feature Extraction and Classification for Cataracts

Applied AI Letters, Volume 6, Issue 2, April 2025.
Workflow for automated ocular disease diagnosis using CNN‐based feature extraction and SVM classification, optimized with Intel one DNN. ABSTRACT The study suggests using a hybrid convolutional neural networks‐support vector machines architecture to extract reliable characteristics from medical images and classify them as an ensemble using four ...
Akshay Bhuvaneswari Ramakrishnan, Mukunth Madavan, R. Manikandan, Amir H. Gandomi   +3 more
wiley   +1 more source

ALGEBRAIC TOPOLOGY AND PHYSICS (Women in Mathematics)

ALGEBRAIC TOPOLOGY AND PHYSICS (Women in Mathematics)
Recently, there has been a growing interest in the relations between algebraic topology and physics. Algebraic topology is used to classify physical systems, and it can be a very powerful tool to analyze physical problems in purely mathematical ways. In this talk, I explain this idea and some of my related works.
openaire  

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, David Poyato, Juan Soler   +2 more
wiley   +1 more source