Philosophical Transactions of the Royal Society A-Mathematical Physica

Article	Citations
Asymptotic symmetries of projectively compact order one Einstein manifolds	213
The profile of the Higgs boson: status and prospects	118
Non-pharmaceutical interventions for COVID-19: a systematic review on environmental control measures	111
Programmable adhesion through triangular and hierarchical cuts in metamaterial adhesives	80
Drought risk in the Anthropocene	76
A stochastic model of edge-localized modes in magnetically confined plasmas	74
Synthesis of tin(IV) nitride with spinel structure, γ -Sn 3 N 4 , from the elements and its Raman-s	72
Falling weight deflectometer dispersion curve method for pavement modulus calculation	72
Linear, weakly nonlinear and fully nonlinear models for soft tissues: which ones provide the most reliable estimations of the stiffness?	72
Quantification of fragmentation capture materials and an assessment of the viability of economical alternatives: a preliminary study	67
Heart rate variability and the dawn of complex physiological signal analysis: methodological and clinical perspectives	66
Neural in-memory checksums: an error detection and correction technique for safe in-memory inference	65
A comparison of Gaussian processes and polynomial chaos emulators in the context of haemodynamic pulse–wave propagation modelling	59
Studies of Turing pattern formation in zebrafish skin	57
Development of a new quantum trajectory molecular dynamics framework	57
Distributed renewable energy systems for resilient and sustainable development of remote and vulnerable communities	57
Machine teaching in Swarm Metaverse under different levels of autonomy	48
An inverse coefficient problem of identifying the flexural rigidity in damped Euler–Bernoulli beam from measured boundary rotation	48
Characterizing and predicting the relationship between translaminar fracture toughness and pull-out length distributions under distinct temperatures	45
Turing pattern design principles and their robustness	45
Hydrogen and wood-burning stoves	43
A generalized Ogden model for the compressibility of rubber-like solids	42
Selective heterogeneous hydrodeoxygenation of acetophenone over monometallic and bimetallic Pt–Co catalyst	41
Challenges and opportunities for time-delay cosmography with multi-messenger gravitational lensing	41
From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories	40

Full-hand electrotactile feedback using electronic skin and matrix electrodes for high-bandwidth human–machine interfacing	39
Machine learning-based rail corrugation recognition: a metro vehicle response and noise perspective	39
Accretion–ablation mechanics	39
Assessment of uncertainty quantification in universal differential equations	38
Relationship between the methods of bounding time averages	38
A certain counterpart in dissipative setting of the Noether theorem with no dissipation pseudo-potentials	38
Socio-economic impacts of energy access through off-grid systems in rural communities: a case study of southwest Nigeria	37
Ostwald ripening in the presence of simultaneous occurrence of various mass transfer mechanisms: an extension of the Lifshitz–Slyozov theory	37
Hierarchical deep learning of multiscale differential equation time-steppers	37
A completely automated pipeline for 3D reconstruction of human heart from 2D cine magnetic resonance slices	35
The shape of dendritic tips: a test of theory with computations and experiments	34
Reprogramming multi-stable snapping and energy dissipation in origami metamaterials through panel confinement	34
Taylor–Couette flow of hard-sphere suspensions: overview of current understanding	34
Theories of disorder and order, energy and information, in sociological thought	33
Quantum flux densities for electronic–nuclear motion: exact versus Born–Oppenheimer dynamics	33
Marangoni-driven nonlinear dynamics of bimolecular frontal systems: a general classification for equal diffusion coefficients	33
Anti-plane waves in an elastic thin strip with surface energy	32
Vote-processing rules for combining control recommendations from multiple models	31
Orbital angular momentum of single photons: revealing quantum fundamentals	31
Geometrical origins of the universe dark sector: string-inspired torsion and anomalies as seeds for inflation and dark matter	31
Optimal control of epidemic spreading in the presence of social heterogeneity	31
Automated polynomial formal verification using generalized binary decision diagram patterns	31
Turbulence characteristics and flow dynamics impacts on the H-mode transition in favourable magnetic geometry with lower power threshold	30
A parameter study of strato-rotational low-frequency modulations: impacts on momentum transfer and energy distribution	29
Theoretical study on time response of semiconductor photorefractive effects under subpicosecond ultra-fast X-rays	29
Coherent decision making stimulated within the social laser: open quantum systems framework	29
Quantum brachistochrone	29
The influence of thermal pressure gradients and ionization (im)balance on the ambipolar diffusion and charge-neutral drifts	28
Growth and stabilization of induced seismicity rates during long-term, low-pressure fluid injection	27
Parametric resonance of Alfvén waves driven by ionization-recombination waves in the weakly ionized solar atmosphere	27
Harnessing electromagnetic data for tsunami source estimation: a comprehensive review	26
How periodic surfaces bend	26
Overturning in the subpolar North Atlantic: a review	26
Generalizing multipartite concentratable entanglement for practical applications: mixed, qudit and optical states	26
Agricultural methane emissions and the potential formitigation	26
The e-posterior	25
Self-regularization in turbulence from the Kolmogorov 4/5-law and alignment	25
Electromagnetic follow-up of gravitational waves: review and lessons learned	25
Practical parameter identifiability of respiratory mechanics in the extremely preterm infant	25
Geometric mechanics of kiri-origami-based bifurcated mechanical metamaterials	25
Disentangling the effects of non-adiabatic interactions upon ion self-diffusion within warm dense hydrogen	25
Drifting plasmons in two-dimensional electron channels: circuit analogy	25
Localized bulging of an inflated rubber tube with fixed ends	25
Physics-inspired analysis of the two-class income distribution in the USA in 1983–2018	24
Is the destruction or removal of atmospheric methane a worthwhile option?	24
Modern perspectives on near-equilibrium analysis of Turing systems	24
Optimizing the cost of the STEP programme	24
Influence of Br − /S 2− site-exchange on Li diffusion mechanism in Li 6 PS 5	24
Cold atoms meet lattice gauge theory	24
Optimizing counterdiabaticity by variational quantum circuits	23

A wide dynamic range diamond quantum sensor as an electric vehicle battery monitor	23
Modelling of seismic assessment for large geological systems	23
Methane removal and the proportional reductions in surface temperature and ozone	23
Helical fluid and (Hall)-MHD turbulence: a brief review	22
Editorial: new Editor-in-Chief and the 360th anniversary of Philosophical Transactions	22
Nanocracks in nature and industry	22
Rising methane: is there a methane emergency?	22
From conformal infinity to equations of motion: conserved quantities in general relativity	22
Non-Born–Oppenheimer effects in molecular photochemistry: an experimental perspective	22
Centaur 29P/Schwassmann–Wachmann 1 and its near-nucleus environment from a stellar occultation	22
Editorial: Mathematical problems in physical fluid dynamics: part II	21
Open-flow mixing and transfer operators	21
An overview of elastic waveguides with dynamic sub-structures	21
Photo-induced enhanced Raman spectroscopy as a probe for photocatalytic surfaces	20
Foreword to the special issue on new developments in structural stability	20
Feasibility of determining asphalt pavement condition from falling weight deflectometer test and finite element model updating	20
Modelling wave–ice interactions in three dimensions in the marginal ice zone	20
Unmanned aerial vehicles equipped with sensor packages to study spatiotemporal variations of air pollutants in industry parks	19
Empowering minorities and everyone in participatory budgeting: an agent-based modelling perspective	19
Defect rocksalt structures in the La-Na-N system	19
Executive Summary to the Royal Society report “COVID-19: examining the effectiveness of non-pharmaceutical interventions”	19
Fast-ion conduction and local environments in BIMEVOX	19
Computational infrared and Raman spectra by hybrid QM/MM techniques: a study on molecular and catalytic material systems	18
Passenger flow anomaly detection in urban rail transit networks with graph convolution network–informer and Gaussian Bayes models	18
Characterizing super-spreaders using population-level weighted social networks in rural communities	18
Core Imaging Library - Part II: multichannel reconstruction for dynamic and spectral tomography	18
Microscale modelling of dielectrophoresis assembly processes	18
Tensile material instabilities in elastic beam lattices lead to a bounded stability domain	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
Answering some questions about structured illumination microscopy	17
Social sciences and energy research interactions	17
Measures of contextuality in cyclic systems and the negative probabilities measure CNT 3	17
A review on the theory of stable dendritic growth	17
Methods for quantifying methane emissions using unmanned aerial vehicles: a review	17
Combining contextuality and causality: a game semantics approach	17
Fatigue of hybrid fibre-reinforced plastics	17
Agreement and disagreement in a non-classical world	16
Modelling herd immunity requirements in Queensland: impact of vaccination effectiveness, hesitancy and variants of SARS-CoV-2	16
Modified kernel MLAA using autoencoder for PET-enabled dual-energy CT	16
QCD factorization and quantum mechanics	16
Acoustic waves in saturated porous media with gas bubbles	16
Gravity beyond Einstein? Yes, but in which direction?	16
Searches for beyond-standard-model physics with astroparticle physics instruments	16
An operational distinction between quantum entanglement and classical non-separability	16
Infrasound associated with the eruption of the Hunga volcano	16
Modelling the Arctic wave-affected marginal ice zone: a comparison with ICESat-2 observations	15
Bounds on heat flux for Rayleigh–Bénard convection between Navier-slip fixed-temperature boundaries	15
Carbon dioxide and hydrogen as building blocks for a sustainable interface of energy and chemistry	15
Information decomposition in the frequency domain: a new framework to study cardiovascular and cardiorespiratory oscillations	15
Argument and explanation	15
Bayesian emulation and history matching ofJUNE	15
Effectiveness of social distancing measures and lockdowns for reducing transmission of COVID-19 in non-healthcare, community-based settings	15
False positives for gravitational lensing: the gravitational-wave perspective	15
Kinetic exchange models of societies and economies	15
Paradigms of frustration in superionic solid electrolytes	15
A reactor for in situ , time-resolved neutron diffraction studies of microwave-induced rapid solid-state chemical reactions	15
Localized waves in elastic plates with perturbed honeycomb arrays of constraints	14
Interaction of scales for a singularly perturbed degenerating nonlinear Robin problem	14
Remarks on the principles of statistical fluid mechanics	14
Unified space–time description of pulsed twin beams	14
Adaptive neural network control for nonlinear cyber-physical systems subject to false data injection attacks with prescribed performance	14
The personal digital twin, ethical considerations	14
Surface wave across crack-tip in a lattice model	14
Effective non-adiabatic holonomic quantum computation of cavity modes via invariant-based reverse engineering	14
Modelling brain tissue elasticity with the Ogden model and an alternative family of constitutive models	14
Data-driven nonlinear model reduction to spectral submanifolds in mechanical systems	14
Thermochemistry of hybrid materials	14
Quantum dynamics with curvilinear coordinates: models and kinetic energy operator	14
Estimation of local time-varying reproduction numbers in noisy surveillance data	14
Correction to ‘Learning earth system models from observations: machine learning or data assimilation?’	14
Opinion polarization in social networks	14
Transitions in Taylor–Couette flow of concentrated non-colloidal suspensions	14
A special issue preface: Radiocarbon in the Anthropocene	14
Ecosystem and soil respiration radiocarbon detects old carbon release as a fingerprint of warming and permafrost destabilization with climate change	13
Wave propagation in tailored metastructures consisting of elastic beams and rigid bodies	13
Micrometeorite collections: a review and their current status	13
Managing the heat: In-Vessel Components	13
Nanostructured NiS 2 -based flexible smart sensors for human respiration monitoring	13
Analytic and conformal scattering in general relativity	13

Systems for intricate patterning of the vertebrate anatomy	13
Experimental perspectives on the matter–antimatter asymmetry puzzle: developments in electron EDM and H¯ experiments	13
Rare isotope-containing diamond colour centres for fundamental symmetry tests	13
Understanding domain-wall encoding theoretically and experimentally	13
The past, present and future of multi-scale modelling applied to wave–structure interaction in ocean engineering	13
Selective dynamic band gap tuning in metamaterials using graded photoresponsive resonator arrays	13
Modelling changes in glass transition temperature in polymer matrices exposed to low molecular weight penetrants	12
Hierarchical Bayesian non-response models for error rates in forensic black-box studies	12
Contributions of heterogeneous catalysis enabling resource efficiency and circular economy	12
Unified framework for localized patterns in reaction–diffusion systems; the Gray–Scott and Gierer–Meinhardt cases	12
Data science approaches to confronting the COVID-19 pandemic: a narrative review	12
Spin–orbit coupling and Jahn–Teller effect in T d symmetry: an ab initio study o	12
The case against smooth null infinity IV: Linearized gravity around Schwarzschild—an overview	12
Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity	12
Brane-world singularities and asymptotics of five-dimensional bulk fluids	12
A network model of legal relations	12
Intelligent decision method for stability assessment of shield tunnel based on multi-objective data mining	12
Mechanics of pressurized planar hyperelastic membranes	12
A global assessment of the impact of school closure in reducing COVID-19 spread	12
Introduction to ‘Artificial intelligence in failure analysis of transportation infrastructure and materials'	12
Routes to turbulence in Taylor–Couette flow	12
Onset of synchronization in coupled Mixmaster oscillators	12
A unified lattice Boltzmann model and application to multiphase flows	12
Correction: ‘Drying paint: from micro-scale dynamics to mechanical instabilities’ (2017), by Goehring et al.	12
Anisotropy in the cosmic acceleration inferred from supernovae	12
Variational inequality for a Timoshenko plate contacting at the boundary with an inclined obstacle	12
A kinetic model for magnetostriction of a ferrogel with physical networking	12
Statistics of the number of defects after quantum annealing in a thermal environment	12
The lunar dust environment: concerns for Moon-based astronomy	12
On the ethical governance of swarm robotic systems in the real world	12
H-mode dithering phase studies on ST40	12
Towards an advanced neurotechnological system: colorimetric sensing with a novel grism-based spectrometer, functionalized gold nanoparticles and a heterogeneous embedded system	11
On the ambipolar diffusion formulation for ion-neutral drifts in the non-negligible drift velocity limit	11
Systematic study of precursor effects on structure and oxygen reduction reaction activity of FeNC catalysts	11
Should AMOC observations continue: how and why?	11
A special issue on Bayesian inference: challenges, perspectives and prospects	11
Asymptotics of the meta-atom: plane wave scattering by a single Helmholtz resonator	11
Molecular interactions in short-chain perfluoroalkyl carboxylic acids and aqueous solutions	11
Director alignment at the nematic–isotropic interface: elastic anisotropy and active anchoring	11
Atmospheric methane and nitrous oxide: challenges alongthe path to Net Zero	11
Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces	11
A time variant uncertainty propagation method for high-dimensional dynamic structural system via K–L expansion and Bayesian deep neural network	11
Mean structure of the supercritical turbulent spiral in Taylor–Couette flow	11
Mathematical modelling of fracture waves in a blocky medium with thin compliant interlayers	11
X-ray astronomy from the lunar surface	11
The quantum optics of media	11
Highly efficient and rapid dechlorination of polyvinyl chloride via microwave pyrolysis	11
Taylor–Couette and related flows on the centennial of Taylor’s seminalPhilosophical Transactionspaper: part 2	11
Asymptotic derivation of a higher-order one-dimensional model for tape springs	11
Buoyancy forcing and the subpolar Atlantic meridional overturning circulation	11
A physics-guided modelling method of artificial neural network for multiaxial fatigue life prediction under irregular loading	11
Sampling effects in quantum mechanical/molecular mechanics trajectory surface hopping non-adiabatic dynamics	11
Isotopic signatures of methane emissions from tropical fires, agriculture and wetlands: the MOYA and ZWAMPS flights	11
New insights into air-sea fluxes and their role in Subantarctic Mode Water formation	11
The biology of imaging	11
Rapid eutectic growth: from rod growth to diffusionless solidification	11
Conformal geodesics and the evolution of spacetimes with positive Cosmological constant	11
Towards human-centred standards for legal help AI	11
Greater than the parts: a review of the information decomposition approach to causal emergence	11
Wave propagation in the marginal ice zone: connections and feedback mechanisms within the air–ice–ocean system	11
Characteristics of constrained turbulent transport in flux-driven toroidal plasmas	11
TransCrack: revisiting fine-grained road crack detection with a transformer design	11
C 0, α boundary regularity for the pressure in weak solutions of the 2 d Euler	11
Generalized quasi-linear approximation and non-normality in Taylor–Couette spiral turbulence	11
Co-designing transport models as a heuristic planning tool	11
Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions	11
Sailing through the southern seas of air–sea CO 2 flux uncertainty	10
Signalling and social learning in swarms of robots	10
Tunable wave coupling in periodically rotated Miura-ori tubes	10
Galaxy clusters as probes of cosmic isotropy	10
Thermoelectric instabilities in a circular Couette flow	10
Contrasting internally and externally generated Atlantic Multidecadal Variability and the role for AMOC in CMIP6 historical simulations	10
An Ogden-like formulation incorporating phase-field fracture in elastomers: from brittle to pseudo-ductile failures	10
Non-flooded riparian Amazon trees are a regionally significant methane source	10
Structured illumination ophthalmoscope: super-resolution microscopy on the living human eye	10
The quantum theory of light	10
Negative refraction and mode trapping of flexural–torsional waves in elastic lattices	10
Experimental neutrino physics in a nuclear landscape	10
GPT-4 passes the bar exam	10
Super-resolution microscopy: a brief history and new avenues	10
Micro-magnetic stimulation of primary visual cortex induces focal and sustained activation of secondary visual cortex	10
Virtual walks inspired by a mean-field kinetic exchange model of opinion dynamics	10
Theory and application of cavity solitons in photonic devices	10
Proof theory and non-smooth analysis	10
A variational approach to frame-indifferent quasistatic viscoelasticity of rate type	10
Arctic freshwater impact on the Atlantic Meridional Overturning Circulation: status and prospects	10
Growth of Sobolev norms and loss of regularity in transport equations	9
Snap buckling of bistable beams under combined mechanical and magnetic loading	9
Physical model and numerical simulation of high-temperature silicification of carbon composite material	9
End effects in low aspect ratio Taylor–Couette flow	9
Understanding the structural diversity of chitins as a versatile biomaterial	9
Lattice Boltzmann simulations on the tumbling to tank-treading transition: effects of membrane viscosity	9
Pseudo-bistability of viscoelastic shells	9
Can we trust projections of AMOC weakening based on climate models that cannot reproduce the past?	9
On the Prandtl–Kolmogorov 1-equation model of turbulence	9