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Asymptotic behaviors for Volterra type McKean-Vlasov stochastic integral equations with small noise

This work is devoted to studying asymptotic behaviors for Volterra type McKean-Vlasov stochastic differential equations with small noise. By applying the weak convergence approach, we establish the large and moderate deviation principles. In addition, we obtain the central limit...

Next-Generation Biosensing Technologies for Environmental Monitoring, Food Protection, and Industrial Bioprocess Management

Biosensors are increasingly important in the detection of biological and chemical targets in real time, in a sensitive and selective manner, for environmental monitoring, food safety and industrial applications. Their effectiveness requires precision design of elements such as bi...

Harvesting-induced bifurcation and memory-driven stability in a fractional-order predator-prey model with Beddington-DeAngelis functional response

This paper develops a fractional-order ecological model describing one prey and two predator species with harvesting, predator interference, and a Beddington-DeAngelis functional response. Caputo fractional derivatives are incorporated to capture memory effects in population dyna...

On The Structure Of Prime-Detecting Quasimodular Forms In Higher Levels

Craig, van Ittersum, and Ono conjectured that every prime-detecting quasimodular form of level 1 is a quasimodular Eisenstein series. This conjecture was proved by Kane–Krishnamoorthy–Lau and by van Ittersum–Mauth–Ono–Singh independently. However, in higher levels, prime-detectin...

Organic Solar Cells with Metallogel/LiF Cathode Double Layers and Non-Fullerene Acceptors

Metallogels are a new class of soft materials formed by supramolecular interactions between metal ions and low molecular weight gelators(LWMGs), and are well known for their semiconducting nature, especially transition metal-based ones. Recently, it has been shown that some of th...

Digital Twin-Driven Hybrid Fuzzy Bayesian Simulation Framework for Dynamic Green Credit Risk Assessment in Manufacturing Enterprises

Green credit risk assessment for manufacturing enterprises is a dynamic and complex problem affected by operational states, environmental uncertainty, financial conditions, information quality, and interactive risk evolution. Traditional assessment methods depend heavily on low-f...

Deformations and Abelian Extensions on Anti-Pre-Jacobi-Jordan Algebras

The underlying algebraic structures of nondegenerate commutative 2-cocycles on Jacobi-Jordan algebras are introduced and are called anti-pre-Jacobi-Jordan algebras. It is proved that they belong to the class of Jacobi-Jordan-admissible algebras. Moreover, it is proved that the ne...

Fatigue Properties and Accumulative Damage Model of Bedded Salt Rock

To investigate the fatigue properties of bedded salt rock and the influences of mudstone interlayer on them, a series of fatigue tests were conducted on bedded salt rock under different cyclic loading conditions. The experimental results showed that the characteristics of stress-...

Counting roots of unity on the graphs of Laurent series over non-Archimedean local fields

We completely classify Laurent series converging on the unit circle over a non-Archimedean local field (of any characteristic) that map infinitely many roots of unity to roots of unity. For a given Laurent series [Formula: see text] over a field of positive characteristic with re...

Impulsively Driven Fractional Relaxation: Exact Response, Scaling Laws, Frequency-Domain Signatures, and Memory-Induced Crossover Structures

We investigate periodically impulsive fractional relaxation as a minimal model of nonlocal dissipative dynamics under repeated external stimulation. The free relaxation law is classical, but the driven problem introduces an additional timescale whose competition with the intrinsi...

A Note on Coadjoint Orbits for Multifermion Systems

The coadjoint orbit action for a multifermion system, as an exact description of its dynamics, is considered. We also discuss two sequential approximations. The first involves a reduction to dynamics on the single-particle Hilbert space described by another coadjoint orbit action...

Study of the Superradiance Phenomenon in the α’attractor Potential using the Log Derivative Method

In this article, we solve the time–independent one–dimensional Klein–Gordon equation in the presence of [Formula: see text]–attractor potential using the Log derivative method. We calculate the reflection coefficient [Formula: see text] and the transmission coefficient [Formula:...

Perturbative Chern-Simons invariants from non-acyclic flat connections

We give a short review of our construction of a higher-loop perturbative invariant of framed 3-manifolds, generalizing the perturbative Chern- Simons invariant of Witten-Axelrod-Singer, associated to an acyclic flat connection, to an invariant given by the integral of a certain “...

Caring and complexity: social work with (unpaid) carers of older people

Around 8 per cent of the UK population provides unpaid care to a friend or relative. This article presents findings from a study that examined the skilled and often under-recognised work of social workers supporting older people and carers in England. Conducted across two demogra...

Additionality and charitable support for public services: community fundraiser perspectives in a tax-funded national health service

Additionality refers to the idea that charitable contributions to publicly-funded services should enhance, not replace, state provision. While it is often assumed that donors will avoid substitution of public funding when seeking causes to support, longstanding traditions of char...

On the Orthorecursive Expansion of Unity

The orthorecursive expansion of unity with respect to the monomial system [Formula: see text] in [Formula: see text] produces a sequence of rational coefficients satisfying an explicit linear recurrence. Kalmynin and Kosenko proved that the coefficients decay at least as [Formula...

Dynamic Modeling and Vibration Characteristics of Rotating Composite Laminated Beams with Erosion-Induced Cracks

To address the issue of flight safety for aircraft in harsh environments such as sandstorms, the erosion-induced cracking of composite blade of turboprop aircraft and helicopter rotors operating was analyzed in severe wind-sand environments. First, the full-scale blade erosion da...

Experimental Study on Smart Sloped Rolling-type Bearings Integrated with Early Prediction of Peak Velocity

The use of sloped rolling-type bearings (SRBs) to protect critical equipment from seismic damage has been widely adopted. However, maintaining SRB displacement responses within safe limits often requires a large damping force, which results in unacceptable accelerations. This hig...

CGAC: A Convolutional Bidirectional GRU Network with Temporal Attention for WiFi CSI-Based Human Activity Recognition

WiFi channel state information (CSI) can characterize wireless-channel variations induced by human activities without directly capturing identifiable visual content, providing a contactless technical approach to indoor human activity recognition (HAR). To address the difficulty o...

ADG-GWO: Adaptive Dynamic Guided Grey Wolf Optimizer for Intelligent Scheduling of Power Distribution Networks Based on Load Forecasting

Accurate scheduling optimization in modern power distribution networks requires both reliable load forecasting and efficient global optimization. However, existing approaches often suffer from performance bottlenecks such as poor adaptability to fluctuating load patterns, slow co...