Results 21 to 30 of about 47 (47)

Remarks on some infinitesimal symmetries of Khovanov–Rozansky homologies in finite characteristic

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3597-3613, November 2025.
Abstract We give a new proof of a theorem due to Shumakovitch and Wang on base point independence of Khovanov–Rozansky homology in characteristic p$p$. Some further symmetries of gl(p)$\mathfrak {gl}(p)$‐homology in characteristic p$p$ are also discussed.
You Qi, Louis‐Hadrien Robert, Joshua Sussan, Emmanuel Wagner   +3 more
wiley   +1 more source

Hardware Design for Secure Telemedicine Using A Novel Framework, A New 4D Memristive Chaotic Oscillator, and Dispatched Gray Code Scrambler

Engineering Reports, Volume 7, Issue 10, October 2025.
This work presents a secure telemedicine cryptosystem based on a novel 4D memristive chaotic oscillator and a Dispatched Gray Code Scrambler (DGCS). Implemented on FPGA, the system ensures power‐efficient encryption, making it suitable for real‐time medical image transmission in IoT healthcare environments.
Fritz Nguemo Kemdoum, Serge Raoul Dzonde Naoussi, Gideon Pagnol Ayemtsa Kuete, Justin Roger Mboupda Pone   +3 more
wiley   +1 more source

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
wiley   +1 more source

A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
wiley   +1 more source

A universal finite‐type invariant of knots in homology 3‐spheres

Journal of Topology, Volume 18, Issue 3, September 2025.
Abstract An essential goal in the study of finite‐type invariants of some objects (knots, manifolds) is the construction of a universal finite‐type invariant, universal in the sense that it contains all finite‐type invariants of the given objects. Such a universal finite‐type invariant is known for knots in the 3‐sphere — the Kontsevich integral — and ...
Benjamin Audoux, Delphine Moussard
wiley   +1 more source

Legendrian non‐isotopic unit conormal bundles in high dimensions

Journal of Topology, Volume 18, Issue 3, September 2025.
Abstract For any compact connected submanifold K$K$ of Rn$\mathbb {R}^n$, let ΛK$\Lambda _K$ denote its unit conormal bundle, which is a Legendrian submanifold of the unit cotangent bundle of Rn$\mathbb {R}^n$. In this paper, we give examples of pairs (K0,K1)$(K_0,K_1)$ of compact connected submanifolds of Rn$\mathbb {R}^n$ such that ΛK0$\Lambda _{K_0}$
Yukihiro Okamoto
wiley   +1 more source

Stability and Hopf Bifurcations Analysis in a Three‐Phase Dengue Diffusion Model With Time Delay in Fractional Derivative and Laplace–Adomian Decomposition Numerical Approach

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 11630-11651, August 2025.
ABSTRACT This study examines the complex dynamics of dengue transmission by incorporating time delay into a comprehensive model. The model is designed to capture several essential components, including steady‐state events, immune waning, recuperation from infection, and partial shielding in human populations.
G. M. Vijayalakshmi, M. Ariyanatchi, Vediyappan Govindan, Haewon Byeon, Busayamas Pimpunchat   +4 more
wiley   +1 more source

Exhaustive Spatial Sampling for Complete Topology of the Electrostatic Potential

Journal of Computational Chemistry, Volume 46, Issue 20, July 30, 2025.
A robust algorithm identifies all critical points of the molecular electrostatic potential (MEP) in 3D space using Newton's method. Tricubic interpolation matches the exact MEP, with slight deviations near nuclei and low gradient regions. It applies to molecules, ions, and noncovalent complexes, revealing reactivity and interaction insights.
Evelio Francisco, Ángel Martín Pendás, Dimas Suárez   +2 more
wiley   +1 more source

Edge of Chaos Theory Unveils the First and Simplest Ever Reported Hodgkin–Huxley Neuristor

Advanced Electronic Materials, Volume 11, Issue 8, June 2025.
This manuscript presents the first and simplest ever‐reported electrical cell, which leverages one memristor on Edge of Chaos to reproduce the three‐bifurcation cascade, marking the entire life cycle from birth to extinction via All‐to‐None effect of an electrical spike, also referred to as Action Potential, across axon membranes under monotonic ...
Alon Ascoli, Ahmet Samil Demirkol, Ioannis Messaris, Vasilis Ntinas, Dimitris Prousalis, Stefan Slesazeck, Thomas Mikolajick, Fernando Corinto, Michele Bonnin, Marco Gilli, Pier Paolo Civalleri, Ronald Tetzlaff, Leon Chua   +12 more
wiley   +1 more source

Cleavage of Carbon–Carbon σ-Bonds of Four-Membered Rings

Chemical Reviews, 2021
Masahiro Murakami, Naoki Ishida
exaly