Philosophical Transactions of the Royal Society A-Mathematical Physica

Article	Citations
Machine learning-based rail corrugation recognition: a metro vehicle response and noise perspective	220
Development of a new quantum trajectory molecular dynamics framework	123
Heart rate variability and the dawn of complex physiological signal analysis: methodological and clinical perspectives	120
Quantification of fragmentation capture materials and an assessment of the viability of economical alternatives: a preliminary study	82
Asymptotic symmetries of projectively compact order one Einstein manifolds	81
Turing pattern design principles and their robustness	78
Full-hand electrotactile feedback using electronic skin and matrix electrodes for high-bandwidth human–machine interfacing	76
Challenges and opportunities for time-delay cosmography with multi-messenger gravitational lensing	74
Hydrogen and wood-burning stoves	73
A stochastic model of edge-localized modes in magnetically confined plasmas	68
Characterizing and predicting the relationship between translaminar fracture toughness and pull-out length distributions under distinct temperatures	66
A comparison of Gaussian processes and polynomial chaos emulators in the context of haemodynamic pulse–wave propagation modelling	63
Synthesis of tin(IV) nitride with spinel structure, γ -Sn 3 N 4 , from the elements and its Raman-s	62
A completely automated pipeline for 3D reconstruction of human heart from 2D cine magnetic resonance slices	57
The profile of the Higgs boson: status and prospects	57
Reprogramming multi-stable snapping and energy dissipation in origami metamaterials through panel confinement	51
Machine teaching in Swarm Metaverse under different levels of autonomy	50
Studies of Turing pattern formation in zebrafish skin	48
Taylor–Couette flow of hard-sphere suspensions: overview of current understanding	45
Selective heterogeneous hydrodeoxygenation of acetophenone over monometallic and bimetallic Pt–Co catalyst	43
Relationship between the methods of bounding time averages	43
Distributed renewable energy systems for resilient and sustainable development of remote and vulnerable communities	41
Assessment of uncertainty quantification in universal differential equations	41
Accretion–ablation mechanics	41
From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories	41

Falling weight deflectometer dispersion curve method for pavement modulus calculation	40
Hierarchical deep learning of multiscale differential equation time-steppers	40
A certain counterpart in dissipative setting of the Noether theorem with no dissipation pseudo-potentials	39
Programmable adhesion through triangular and hierarchical cuts in metamaterial adhesives	38
An inverse coefficient problem of identifying the flexural rigidity in damped Euler–Bernoulli beam from measured boundary rotation	38
Neural in-memory checksums: an error detection and correction technique for safe in-memory inference	38
Linear, weakly nonlinear and fully nonlinear models for soft tissues: which ones provide the most reliable estimations of the stiffness?	37
Drought risk in the Anthropocene	37
Socio-economic impacts of energy access through off-grid systems in rural communities: a case study of southwest Nigeria	36
A generalized Ogden model for the compressibility of rubber-like solids	36
Non-pharmaceutical interventions for COVID-19: a systematic review on environmental control measures	35
A parameter study of strato-rotational low-frequency modulations: impacts on momentum transfer and energy distribution	34
Geometric mechanics of kiri-origami-based bifurcated mechanical metamaterials	33
Practical parameter identifiability of respiratory mechanics in the extremely preterm infant	33
Theories of disorder and order, energy and information, in sociological thought	32
Automated polynomial formal verification using generalized binary decision diagram patterns	32
Disentangling the effects of non-adiabatic interactions upon ion self-diffusion within warm dense hydrogen	32
The e-posterior	31
Parametric resonance of Alfvén waves driven by ionization-recombination waves in the weakly ionized solar atmosphere	31
Anti-plane waves in an elastic thin strip with surface energy	30
Drifting plasmons in two-dimensional electron channels: circuit analogy	30
Theoretical study on time response of semiconductor photorefractive effects under subpicosecond ultra-fast X-rays	29
Electromagnetic follow-up of gravitational waves: review and lessons learned	28
How periodic surfaces bend	28
Optimizing the cost of the STEP programme	28
Self-regularization in turbulence from the Kolmogorov 4/5-law and alignment	27
Cold atoms meet lattice gauge theory	27
Optimal control of epidemic spreading in the presence of social heterogeneity	27
The influence of thermal pressure gradients and ionization (im)balance on the ambipolar diffusion and charge-neutral drifts	26
Quantum flux densities for electronic–nuclear motion: exact versus Born–Oppenheimer dynamics	26
Coherent decision making stimulated within the social laser: open quantum systems framework	26
Orbital angular momentum of single photons: revealing quantum fundamentals	26
Geometrical origins of the universe dark sector: string-inspired torsion and anomalies as seeds for inflation and dark matter	26
Is the destruction or removal of atmospheric methane a worthwhile option?	25
Generalizing multipartite concentratable entanglement for practical applications: mixed, qudit and optical states	25
Overturning in the subpolar North Atlantic: a review	25
Turbulence characteristics and flow dynamics impacts on the H-mode transition in favourable magnetic geometry with lower power threshold	25
Growth and stabilization of induced seismicity rates during long-term, low-pressure fluid injection	25
Quantum brachistochrone	25
Harnessing electromagnetic data for tsunami source estimation: a comprehensive review	25
Marangoni-driven nonlinear dynamics of bimolecular frontal systems: a general classification for equal diffusion coefficients	24
Localized bulging of an inflated rubber tube with fixed ends	24
Agricultural methane emissions and the potential formitigation	24
Vote-processing rules for combining control recommendations from multiple models	24
Methane removal and the proportional reductions in surface temperature and ozone	24
Modern perspectives on near-equilibrium analysis of Turing systems	24
Editorial: new Editor-in-Chief and the 360th anniversary of Philosophical Transactions	23
Passenger flow anomaly detection in urban rail transit networks with graph convolution network–informer and Gaussian Bayes models	23
Nanocracks in nature and industry	23
Microscale modelling of dielectrophoresis assembly processes	23

Modelling wave–ice interactions in three dimensions in the marginal ice zone	23
Empowering minorities and everyone in participatory budgeting: an agent-based modelling perspective	22
Modelling of seismic assessment for large geological systems	22
Rising methane: is there a methane emergency?	22
Answering some questions about structured illumination microscopy	22
An overview of elastic waveguides with dynamic sub-structures	22
Photo-induced enhanced Raman spectroscopy as a probe for photocatalytic surfaces	22
Foreword to the special issue on new developments in structural stability	21
Non-Born–Oppenheimer effects in molecular photochemistry: an experimental perspective	21
Open-flow mixing and transfer operators	20
Defect rocksalt structures in the La-Na-N system	20
Executive Summary to the Royal Society report “COVID-19: examining the effectiveness of non-pharmaceutical interventions”	20
Feasibility of determining asphalt pavement condition from falling weight deflectometer test and finite element model updating	20
Fast-ion conduction and local environments in BIMEVOX	19
Characterizing super-spreaders using population-level weighted social networks in rural communities	19
Unmanned aerial vehicles equipped with sensor packages to study spatiotemporal variations of air pollutants in industry parks	19
Optimizing counterdiabaticity by variational quantum circuits	19
Influence of Br − /S 2− site-exchange on Li diffusion mechanism in Li 6 PS 5	19
Tensile material instabilities in elastic beam lattices lead to a bounded stability domain	19
Helical fluid and (Hall)-MHD turbulence: a brief review	19
Centaur 29P/Schwassmann–Wachmann 1 and its near-nucleus environment from a stellar occultation	18
A wide dynamic range diamond quantum sensor as an electric vehicle battery monitor	18
Physics-inspired analysis of the two-class income distribution in the USA in 1983–2018	18
From conformal infinity to equations of motion: conserved quantities in general relativity	18
Special issue on heat and mass transfer in frost and ice	18
Computational infrared and Raman spectra by hybrid QM/MM techniques: a study on molecular and catalytic material systems	18
Editorial: Mathematical problems in physical fluid dynamics: part II	18
Variability of complex oscillatory regimes in the stochastic model of cold-flame combustion of a hydrocarbon mixture	18
From vesicles to materials: bioinspired strategies for fabricating hierarchically structured soft matter	17
Data-driven nonlinear model reduction to spectral submanifolds in mechanical systems	17
The personal digital twin, ethical considerations	17
Carbon dioxide and hydrogen as building blocks for a sustainable interface of energy and chemistry	17
Opinion polarization in social networks	17
Methods for quantifying methane emissions using unmanned aerial vehicles: a review	17
Acoustic waves in saturated porous media with gas bubbles	17
Social sciences and energy research interactions	17
Agreement and disagreement in a non-classical world	16
Information decomposition in the frequency domain: a new framework to study cardiovascular and cardiorespiratory oscillations	16
False positives for gravitational lensing: the gravitational-wave perspective	16
Argument and explanation	16
Searches for beyond-standard-model physics with astroparticle physics instruments	16
Effectiveness of social distancing measures and lockdowns for reducing transmission of COVID-19 in non-healthcare, community-based settings	16
Transitions in Taylor–Couette flow of concentrated non-colloidal suspensions	16
Unified space–time description of pulsed twin beams	16
Infrasound associated with the eruption of the Hunga volcano	16
Gravity beyond Einstein? Yes, but in which direction?	16
Kinetic exchange models of societies and economies	15
Fatigue of hybrid fibre-reinforced plastics	15
Modelling the Arctic wave-affected marginal ice zone: a comparison with ICESat-2 observations	15
Bayesian emulation and history matching ofJUNE	15
Adaptive neural network control for nonlinear cyber-physical systems subject to false data injection attacks with prescribed performance	15
Paradigms of frustration in superionic solid electrolytes	15
Combining contextuality and causality: a game semantics approach	15
Modelling brain tissue elasticity with the Ogden model and an alternative family of constitutive models	15
A reactor for in situ , time-resolved neutron diffraction studies of microwave-induced rapid solid-state chemical reactions	15
Surface wave across crack-tip in a lattice model	15
QCD factorization and quantum mechanics	15
Measures of contextuality in cyclic systems and the negative probabilities measure CNT 3	15
Modelling herd immunity requirements in Queensland: impact of vaccination effectiveness, hesitancy and variants of SARS-CoV-2	15
Bounds on heat flux for Rayleigh–Bénard convection between Navier-slip fixed-temperature boundaries	15
An operational distinction between quantum entanglement and classical non-separability	15
Understanding domain-wall encoding theoretically and experimentally	14
The lunar dust environment: concerns for Moon-based astronomy	14
A special issue preface: Radiocarbon in the Anthropocene	14
Selective dynamic band gap tuning in metamaterials using graded photoresponsive resonator arrays	14
Thermochemistry of hybrid materials	14
Interaction of scales for a singularly perturbed degenerating nonlinear Robin problem	14
Analytic and conformal scattering in general relativity	14
Quantum dynamics with curvilinear coordinates: models and kinetic energy operator	14
Localized waves in elastic plates with perturbed honeycomb arrays of constraints	14
Correction to ‘Learning earth system models from observations: machine learning or data assimilation?’	14
Ecosystem and soil respiration radiocarbon detects old carbon release as a fingerprint of warming and permafrost destabilization with climate change	14
Effective non-adiabatic holonomic quantum computation of cavity modes via invariant-based reverse engineering	14
On the ethical governance of swarm robotic systems in the real world	14
A unified lattice Boltzmann model and application to multiphase flows	14
Routes to turbulence in Taylor–Couette flow	14
Onset of synchronization in coupled Mixmaster oscillators	13
Estimation of local time-varying reproduction numbers in noisy surveillance data	13
Nanostructured NiS 2 -based flexible smart sensors for human respiration monitoring	13
Asymptotics of the meta-atom: plane wave scattering by a single Helmholtz resonator	13

The past, present and future of multi-scale modelling applied to wave–structure interaction in ocean engineering	13
Remarks on the principles of statistical fluid mechanics	13
Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity	13
Wave propagation in tailored metastructures consisting of elastic beams and rigid bodies	13
Atmospheric methane and nitrous oxide: challenges alongthe path to Net Zero	13
Systems for intricate patterning of the vertebrate anatomy	13
Rare isotope-containing diamond colour centres for fundamental symmetry tests	13
Micrometeorite collections: a review and their current status	13
The case against smooth null infinity IV: Linearized gravity around Schwarzschild—an overview	13
Managing the heat: In-Vessel Components	13
Director alignment at the nematic–isotropic interface: elastic anisotropy and active anchoring	13
Experimental perspectives on the matter–antimatter asymmetry puzzle: developments in electron EDM and H¯ experiments	13
Molecular interactions in short-chain perfluoroalkyl carboxylic acids and aqueous solutions	12
A network model of legal relations	12
Highly efficient and rapid dechlorination of polyvinyl chloride via microwave pyrolysis	12
TransCrack: revisiting fine-grained road crack detection with a transformer design	12
H-mode dithering phase studies on ST40	12
Asymptotic derivation of a higher-order one-dimensional model for tape springs	12
Introduction to ‘Artificial intelligence in failure analysis of transportation infrastructure and materials'	12
Greater than the parts: a review of the information decomposition approach to causal emergence	12
A global assessment of the impact of school closure in reducing COVID-19 spread	12
Brane-world singularities and asymptotics of five-dimensional bulk fluids	12
Hierarchical Bayesian non-response models for error rates in forensic black-box studies	12
Modelling changes in glass transition temperature in polymer matrices exposed to low molecular weight penetrants	12
Anisotropy in the cosmic acceleration inferred from supernovae	12
A physics-guided modelling method of artificial neural network for multiaxial fatigue life prediction under irregular loading	12
C 0, α boundary regularity for the pressure in weak solutions of the 2 d Euler	12
Wave propagation in the marginal ice zone: connections and feedback mechanisms within the air–ice–ocean system	12
Unified framework for localized patterns in reaction–diffusion systems; the Gray–Scott and Gierer–Meinhardt cases	12
Mechanics of pressurized planar hyperelastic membranes	12
Sampling effects in quantum mechanical/molecular mechanics trajectory surface hopping non-adiabatic dynamics	12
Generalized quasi-linear approximation and non-normality in Taylor–Couette spiral turbulence	12
Intelligent decision method for stability assessment of shield tunnel based on multi-objective data mining	12
Non-flooded riparian Amazon trees are a regionally significant methane source	11
Co-designing transport models as a heuristic planning tool	11
Conformal geodesics and the evolution of spacetimes with positive Cosmological constant	11
Should AMOC observations continue: how and why?	11
Variational inequality for a Timoshenko plate contacting at the boundary with an inclined obstacle	11
Correction: ‘Drying paint: from micro-scale dynamics to mechanical instabilities’ (2017), by Goehring et al.	11
Taylor–Couette and related flows on the centennial of Taylor’s seminalPhilosophical Transactionspaper: part 2	11
Statistics of the number of defects after quantum annealing in a thermal environment	11
Signalling and social learning in swarms of robots	11
Virtual walks inspired by a mean-field kinetic exchange model of opinion dynamics	11
Isotopic signatures of methane emissions from tropical fires, agriculture and wetlands: the MOYA and ZWAMPS flights	11
On the ambipolar diffusion formulation for ion-neutral drifts in the non-negligible drift velocity limit	11
Tunable wave coupling in periodically rotated Miura-ori tubes	11
Towards human-centred standards for legal help AI	11
Systematic study of precursor effects on structure and oxygen reduction reaction activity of FeNC catalysts	11
Effects of the growth and freezing of condensate droplets on the initial frost thickness and density of cold surfaces	11
Buoyancy forcing and the subpolar Atlantic meridional overturning circulation	11
An Ogden-like formulation incorporating phase-field fracture in elastomers: from brittle to pseudo-ductile failures	11
Spin–orbit coupling and Jahn–Teller effect in T d symmetry: an ab initio study o	11
Negative refraction and mode trapping of flexural–torsional waves in elastic lattices	11
Theory and application of cavity solitons in photonic devices	11
Thermoelectric instabilities in a circular Couette flow	11
Mean structure of the supercritical turbulent spiral in Taylor–Couette flow	11
Experimental neutrino physics in a nuclear landscape	11
The quantum optics of media	11
A time variant uncertainty propagation method for high-dimensional dynamic structural system via K–L expansion and Bayesian deep neural network	11
Experimental–theoretical analysis of cooling and freezing of a droplet in contact with a cold substrate: influence of substrate wettability	11
Characteristics of constrained turbulent transport in flux-driven toroidal plasmas	11
Data science approaches to confronting the COVID-19 pandemic: a narrative review	11
A special issue on Bayesian inference: challenges, perspectives and prospects	11
Contributions of heterogeneous catalysis enabling resource efficiency and circular economy	11
Contrasting internally and externally generated Atlantic Multidecadal Variability and the role for AMOC in CMIP6 historical simulations	11
Super-resolution microscopy: a brief history and new avenues	11
New insights into air-sea fluxes and their role in Subantarctic Mode Water formation	11
Lattice Boltzmann simulations on the tumbling to tank-treading transition: effects of membrane viscosity	10
A variational approach to frame-indifferent quasistatic viscoelasticity of rate type	10
Rapid eutectic growth: from rod growth to diffusionless solidification	10
Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces	10
The quantum theory of light	10
Continuing invariant solutions towards the turbulent flow	10
Structured illumination ophthalmoscope: super-resolution microscopy on the living human eye	10
On the Prandtl–Kolmogorov 1-equation model of turbulence	10
GPT-4 passes the bar exam	10
Mathematical modelling of fracture waves in a blocky medium with thin compliant interlayers	10
Arctic freshwater impact on the Atlantic Meridional Overturning Circulation: status and prospects	10
Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions	10
Towards an advanced neurotechnological system: colorimetric sensing with a novel grism-based spectrometer, functionalized gold nanoparticles and a heterogeneous embedded system	10
Sailing through the southern seas of air–sea CO 2 flux uncertainty	10
Micro-magnetic stimulation of primary visual cortex induces focal and sustained activation of secondary visual cortex	10
Future challenges for structural integrity of high-Iintegrity components	10
Hamiltonian/Stroh formalism for anisotropic media with microstructure	10
Galaxy clusters as probes of cosmic isotropy	10
Proof theory and non-smooth analysis	10
X-ray astronomy from the lunar surface	10
The biology of imaging	10
Graphene nanoplatelets on recycled rubber: an experimental study of material properties and mechanical improvements	10
Understanding the effect of adsorption sites of CO at cobalt surface on its reactivity with H 2 /H by DFT calculations	10
Computational modelling of biological systems now and then: revisiting tools and visions from the beginning of the century	9
Sensitivity of M2tidal magnetic signals to seasonal and spatial variations of ocean electric conductivity	9
Can we trust projections of AMOC weakening based on climate models that cannot reproduce the past?	9
What do we know about the global methane budget? Results from four decades of atmospheric CH4observations and the way forward	9
Dynamic and transient processes in warm dense matter	9