Philosophical Transactions of the Royal Society A-Mathematical Physica

Article	Citations
Asymptotic symmetries of projectively compact order one Einstein manifolds	203
The profile of the Higgs boson: status and prospects	115
Non-pharmaceutical interventions for COVID-19: a systematic review on environmental control measures	102
Programmable adhesion through triangular and hierarchical cuts in metamaterial adhesives	92
Socio-economic impacts of energy access through off-grid systems in rural communities: a case study of southwest Nigeria	77
Drought risk in the Anthropocene	74
A stochastic model of edge-localized modes in magnetically confined plasmas	72
Linear, weakly nonlinear and fully nonlinear models for soft tissues: which ones provide the most reliable estimations of the stiffness?	71
Falling weight deflectometer dispersion curve method for pavement modulus calculation	70
Synthesis of tin(IV) nitride with spinel structure, γ -Sn 3 N 4 , from the elements and its Raman-s	70
Quantification of fragmentation capture materials and an assessment of the viability of economical alternatives: a preliminary study	65
The shape of dendritic tips: a test of theory with computations and experiments	65
Heart rate variability and the dawn of complex physiological signal analysis: methodological and clinical perspectives	61
Reprogramming multi-stable snapping and energy dissipation in origami metamaterials through panel confinement	61
Neural in-memory checksums: an error detection and correction technique for safe in-memory inference	57
A comparison of Gaussian processes and polynomial chaos emulators in the context of haemodynamic pulse–wave propagation modelling	55
Machine teaching in Swarm Metaverse under different levels of autonomy	52
Development of a new quantum trajectory molecular dynamics framework	51
Turing pattern design principles and their robustness	47
Ostwald ripening in the presence of simultaneous occurrence of various mass transfer mechanisms: an extension of the Lifshitz–Slyozov theory	45
Characterizing and predicting the relationship between translaminar fracture toughness and pull-out length distributions under distinct temperatures	44
A generalized Ogden model for the compressibility of rubber-like solids	42
Hydrogen and wood-burning stoves	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	40

From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories	39
Full-hand electrotactile feedback using electronic skin and matrix electrodes for high-bandwidth human–machine interfacing	39
Accretion–ablation mechanics	38
Taylor–Couette flow of hard-sphere suspensions: overview of current understanding	37
Machine learning-based rail corrugation recognition: a metro vehicle response and noise perspective	37
Distributed renewable energy systems for resilient and sustainable development of remote and vulnerable communities	36
A completely automated pipeline for 3D reconstruction of human heart from 2D cine magnetic resonance slices	36
Hierarchical deep learning of multiscale differential equation time-steppers	36
Studies of Turing pattern formation in zebrafish skin	35
Assessment of uncertainty quantification in universal differential equations	35
Relationship between the methods of bounding time averages	34
An inverse coefficient problem of identifying the flexural rigidity in damped Euler–Bernoulli beam from measured boundary rotation	34
Quantum flux densities for electronic–nuclear motion: exact versus Born–Oppenheimer dynamics	33
A certain counterpart in dissipative setting of the Noether theorem with no dissipation pseudo-potentials	33
Theories of disorder and order, energy and information, in sociological thought	32
Marangoni-driven nonlinear dynamics of bimolecular frontal systems: a general classification for equal diffusion coefficients	32
Optimal control of epidemic spreading in the presence of social heterogeneity	31
Overturning in the subpolar North Atlantic: a review	31
Anti-plane waves in an elastic thin strip with surface energy	31
Cold atoms meet lattice gauge theory	31
Vote-processing rules for combining control recommendations from multiple models	30
Orbital angular momentum of single photons: revealing quantum fundamentals	30
Geometrical origins of the universe dark sector: string-inspired torsion and anomalies as seeds for inflation and dark matter	30
Automated polynomial formal verification using generalized binary decision diagram patterns	30
Turbulence characteristics and flow dynamics impacts on the H-mode transition in favourable magnetic geometry with lower power threshold	29
Quantum brachistochrone	29
A parameter study of strato-rotational low-frequency modulations: impacts on momentum transfer and energy distribution	28
Coherent decision making stimulated within the social laser: open quantum systems framework	28
Theoretical study on time response of semiconductor photorefractive effects under subpicosecond ultra-fast X-rays	27
Disentangling the effects of non-adiabatic interactions upon ion self-diffusion within warm dense hydrogen	27
Growth and stabilization of induced seismicity rates during long-term, low-pressure fluid injection	26
Parametric resonance of Alfvén waves driven by ionization-recombination waves in the weakly ionized solar atmosphere	26
The influence of thermal pressure gradients and ionization (im)balance on the ambipolar diffusion and charge-neutral drifts	26
How periodic surfaces bend	25
Localized bulging of an inflated rubber tube with fixed ends	25
The e-posterior	25
Optimizing the cost of the STEP programme	25
Harnessing electromagnetic data for tsunami source estimation: a comprehensive review	25
Generalizing multipartite concentratable entanglement for practical applications: mixed, qudit and optical states	25
Electromagnetic follow-up of gravitational waves: review and lessons learned	25
Drifting plasmons in two-dimensional electron channels: circuit analogy	24
Modern perspectives on near-equilibrium analysis of Turing systems	24
Is the destruction or removal of atmospheric methane a worthwhile option?	24
Geometric mechanics of kiri-origami-based bifurcated mechanical metamaterials	24
Practical parameter identifiability of respiratory mechanics in the extremely preterm infant	24
Self-regularization in turbulence from the Kolmogorov 4/5-law and alignment	24
Optimizing counterdiabaticity by variational quantum circuits	23
Agricultural methane emissions and the potential formitigation	23
From conformal infinity to equations of motion: conserved quantities in general relativity	23
Modelling of seismic assessment for large geological systems	23

Helical fluid and (Hall)-MHD turbulence: a brief review	23
A wide dynamic range diamond quantum sensor as an electric vehicle battery monitor	23
Centaur 29P/Schwassmann–Wachmann 1 and its near-nucleus environment from a stellar occultation	22
Rising methane: is there a methane emergency?	22
Nanocracks in nature and industry	22
A review on the theory of stable dendritic growth	22
Editorial: new Editor-in-Chief and the 360th anniversary of Philosophical Transactions	22
An overview of elastic waveguides with dynamic sub-structures	21
Open-flow mixing and transfer operators	21
Physics-inspired analysis of the two-class income distribution in the USA in 1983–2018	21
Non-Born–Oppenheimer effects in molecular photochemistry: an experimental perspective	21
Editorial: Mathematical problems in physical fluid dynamics: part II	21
Foreword to the special issue on new developments in structural stability	20
Photo-induced enhanced Raman spectroscopy as a probe for photocatalytic surfaces	20
Modelling wave–ice interactions in three dimensions in the marginal ice zone	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
Influence of Br − /S 2− site-exchange on Li diffusion mechanism in Li 6 PS 5	19
Defect rocksalt structures in the La-Na-N system	19
Unmanned aerial vehicles equipped with sensor packages to study spatiotemporal variations of air pollutants in industry parks	19
Fast-ion conduction and local environments in BIMEVOX	19
Empowering minorities and everyone in participatory budgeting: an agent-based modelling perspective	19
Microscale modelling of dielectrophoresis assembly processes	18
Characterizing super-spreaders using population-level weighted social networks in rural communities	18
Methane removal and the proportional reductions in surface temperature and ozone	18
Answering some questions about structured illumination microscopy	18
Core Imaging Library - Part II: multichannel reconstruction for dynamic and spectral tomography	18
Variability of complex oscillatory regimes in the stochastic model of cold-flame combustion of a hydrocarbon mixture	18
Computational infrared and Raman spectra by hybrid QM/MM techniques: a study on molecular and catalytic material systems	18
Methods for quantifying methane emissions using unmanned aerial vehicles: a review	18
Passenger flow anomaly detection in urban rail transit networks with graph convolution network–informer and Gaussian Bayes models	17
Transitions in Taylor–Couette flow of concentrated non-colloidal suspensions	17
Tensile material instabilities in elastic beam lattices lead to a bounded stability domain	17
Fatigue of hybrid fibre-reinforced plastics	17
Argument and explanation	17
Combining contextuality and causality: a game semantics approach	16
Agreement and disagreement in a non-classical world	16
Acoustic waves in saturated porous media with gas bubbles	16
Unified space–time description of pulsed twin beams	16
QCD factorization and quantum mechanics	16
From vesicles to materials: bioinspired strategies for fabricating hierarchically structured soft matter	16
Searches for beyond-standard-model physics with astroparticle physics instruments	16
Modelling herd immunity requirements in Queensland: impact of vaccination effectiveness, hesitancy and variants of SARS-CoV-2	16
An operational distinction between quantum entanglement and classical non-separability	16
Social sciences and energy research interactions	16
Measures of contextuality in cyclic systems and the negative probabilities measure CNT 3	16
Kinetic exchange models of societies and economies	16
Infrasound associated with the eruption of the Hunga volcano	16
Gravity beyond Einstein? Yes, but in which direction?	15
Opinion polarization in social networks	15
Paradigms of frustration in superionic solid electrolytes	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
Bounds on heat flux for Rayleigh–Bénard convection between Navier-slip fixed-temperature boundaries	15
Modelling brain tissue elasticity with the Ogden model and an alternative family of constitutive models	15
Modified kernel MLAA using autoencoder for PET-enabled dual-energy CT	15
False positives for gravitational lensing: the gravitational-wave perspective	15
Modelling the Arctic wave-affected marginal ice zone: a comparison with ICESat-2 observations	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
Estimation of local time-varying reproduction numbers in noisy surveillance data	14
Data-driven nonlinear model reduction to spectral submanifolds in mechanical systems	14
Thermochemistry of hybrid materials	14
Remarks on the principles of statistical fluid mechanics	14
Surface wave across crack-tip in a lattice model	14
The lunar dust environment: concerns for Moon-based astronomy	14
Bayesian emulation and history matching ofJUNE	14
On the ethical governance of swarm robotic systems in the real world	14
A special issue preface: Radiocarbon in the Anthropocene	14
Quantum dynamics with curvilinear coordinates: models and kinetic energy operator	14
Onset of synchronization in coupled Mixmaster oscillators	14
Effectiveness of social distancing measures and lockdowns for reducing transmission of COVID-19 in non-healthcare, community-based settings	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
Ecosystem and soil respiration radiocarbon detects old carbon release as a fingerprint of warming and permafrost destabilization with climate change	13
Interaction of scales for a singularly perturbed degenerating nonlinear Robin problem	13
Analytic and conformal scattering in general relativity	13
Nanostructured NiS 2 -based flexible smart sensors for human respiration monitoring	13
Experimental perspectives on the matter–antimatter asymmetry puzzle: developments in electron EDM and H¯ experiments	13
Effective non-adiabatic holonomic quantum computation of cavity modes via invariant-based reverse engineering	13

Rare isotope-containing diamond colour centres for fundamental symmetry tests	13
Wave propagation in tailored metastructures consisting of elastic beams and rigid bodies	13
Managing the heat: In-Vessel Components	13
Correction to ‘Learning earth system models from observations: machine learning or data assimilation?’	13
Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity	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
Unified framework for localized patterns in reaction–diffusion systems; the Gray–Scott and Gierer–Meinhardt cases	12
Mechanics of pressurized planar hyperelastic membranes	12
Intelligent decision method for stability assessment of shield tunnel based on multi-objective data mining	12
A special issue on Bayesian inference: challenges, perspectives and prospects	12
Routes to turbulence in Taylor–Couette flow	12
Pattern formation in drying blood drops	12
Spin–orbit coupling and Jahn–Teller effect in T d symmetry: an ab initio study o	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
Fatigue crack growth in epoxy polymer nanocomposites	12
A unified lattice Boltzmann model and application to multiphase flows	12
The case against smooth null infinity IV: Linearized gravity around Schwarzschild—an overview	12
Micrometeorite collections: a review and their current status	12
Statistics of the number of defects after quantum annealing in a thermal environment	12
Brane-world singularities and asymptotics of five-dimensional bulk fluids	12
H-mode dithering phase studies on ST40	12
Introduction to ‘Artificial intelligence in failure analysis of transportation infrastructure and materials'	12
Systems for intricate patterning of the vertebrate anatomy	12
Selective dynamic band gap tuning in metamaterials using graded photoresponsive resonator arrays	12
Modelling changes in glass transition temperature in polymer matrices exposed to low molecular weight penetrants	11
Anisotropy in the cosmic acceleration inferred from supernovae	11
A global assessment of the impact of school closure in reducing COVID-19 spread	11
Characteristics of constrained turbulent transport in flux-driven toroidal plasmas	11
Greater than the parts: a review of the information decomposition approach to causal emergence	11
Taylor–Couette and related flows on the centennial of Taylor’s seminalPhilosophical Transactionspaper: part 2	11
Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces	11
Atmospheric methane and nitrous oxide: challenges alongthe path to Net Zero	11
Director alignment at the nematic–isotropic interface: elastic anisotropy and active anchoring	11
Correction: ‘Drying paint: from micro-scale dynamics to mechanical instabilities’ (2017), by Goehring et al.	11
A network model of legal relations	11
C 0, α boundary regularity for the pressure in weak solutions of the 2 d Euler	11
Asymptotics of the meta-atom: plane wave scattering by a single Helmholtz resonator	11
Isotopic signatures of methane emissions from tropical fires, agriculture and wetlands: the MOYA and ZWAMPS flights	11
Toughening materials: enhancing resistance to fracture	11
Highly efficient and rapid dechlorination of polyvinyl chloride via microwave pyrolysis	11
Wave propagation in the marginal ice zone: connections and feedback mechanisms within the air–ice–ocean system	11
Molecular interactions in short-chain perfluoroalkyl carboxylic acids and aqueous solutions	11
A physics-guided modelling method of artificial neural network for multiaxial fatigue life prediction under irregular loading	11
A kinetic model for magnetostriction of a ferrogel with physical networking	11
Contributions of heterogeneous catalysis enabling resource efficiency and circular economy	11
Data science approaches to confronting the COVID-19 pandemic: a narrative review	11
Asymptotic derivation of a higher-order one-dimensional model for tape springs	11
Hierarchical Bayesian non-response models for error rates in forensic black-box studies	11
Should AMOC observations continue: how and why?	11
Buoyancy forcing and the subpolar Atlantic meridional overturning circulation	11
Variational inequality for a Timoshenko plate contacting at the boundary with an inclined obstacle	11
TransCrack: revisiting fine-grained road crack detection with a transformer design	11
Towards an advanced neurotechnological system: colorimetric sensing with a novel grism-based spectrometer, functionalized gold nanoparticles and a heterogeneous embedded system	10
Rapid eutectic growth: from rod growth to diffusionless solidification	10
Systematic study of precursor effects on structure and oxygen reduction reaction activity of FeNC catalysts	10
On the ambipolar diffusion formulation for ion-neutral drifts in the non-negligible drift velocity limit	10
A time variant uncertainty propagation method for high-dimensional dynamic structural system via K–L expansion and Bayesian deep neural network	10
Thermoelectric instabilities in a circular Couette flow	10
Galaxy clusters as probes of cosmic isotropy	10
The quantum theory of light	10
Signalling and social learning in swarms of robots	10
Mean structure of the supercritical turbulent spiral in Taylor–Couette flow	10
Virtual walks inspired by a mean-field kinetic exchange model of opinion dynamics	10
X-ray astronomy from the lunar surface	10
Towards human-centred standards for legal help AI	10
Sailing through the southern seas of air–sea CO 2 flux uncertainty	10
A variational approach to frame-indifferent quasistatic viscoelasticity of rate type	10
Structured illumination ophthalmoscope: super-resolution microscopy on the living human eye	10
Proof theory and non-smooth analysis	10
Co-designing transport models as a heuristic planning tool	10
The biology of imaging	10
The quantum optics of media	10
Conformal geodesics and the evolution of spacetimes with positive Cosmological constant	10
Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions	10
New insights into air-sea fluxes and their role in Subantarctic Mode Water formation	10
Experimental neutrino physics in a nuclear landscape	10
Negative refraction and mode trapping of flexural–torsional waves in elastic lattices	10
Theory and application of cavity solitons in photonic devices	10
Mathematical modelling of fracture waves in a blocky medium with thin compliant interlayers	10
Novel 4D-printed multi-stable metamaterials: programmability of force-displacement behaviour and deformation sequence	9
Snap buckling of bistable beams under combined mechanical and magnetic loading	9
Modelling of hemodynamics in bifurcation lesions of coronary arteries before and after myocardial revascularization	9
Understanding the effect of adsorption sites of CO at cobalt surface on its reactivity with H 2 /H by DFT calculations	9
Discovering significant topics from legal decisions with selective inference	9
End effects in low aspect ratio Taylor–Couette flow	9
Lattice Boltzmann simulations on the tumbling to tank-treading transition: effects of membrane viscosity	9
Physical oceanographic factors controlling the ocean circulation-induced magnetic field	9
Graphene nanoplatelets on recycled rubber: an experimental study of material properties and mechanical improvements	9
Classical consequences of constructive systems	9
Computational modelling of biological systems now and then: revisiting tools and visions from the beginning of the century	9
Transition of fluctuations from Gaussian state to turbulent state	9
Pseudo-bistability of viscoelastic shells	9
Variable-order fractional master equation and clustering of particles: non-uniform lysosome distribution	9