Philosophical Transactions of the Royal Society A-Mathematical Physica

Article	Citations
Heart rate variability and the dawn of complex physiological signal analysis: methodological and clinical perspectives	127
Quantification of fragmentation capture materials and an assessment of the viability of economical alternatives: a preliminary study	126
Asymptotic symmetries of projectively compact order one Einstein manifolds	89
Turing pattern design principles and their robustness	88
Challenges and opportunities for time-delay cosmography with multi-messenger gravitational lensing	83
Hydrogen and wood-burning stoves	78
A stochastic model of edge-localized modes in magnetically confined plasmas	76
A comparison of Gaussian processes and polynomial chaos emulators in the context of haemodynamic pulse–wave propagation modelling	70
Synthesis of tin(IV) nitride with spinel structure, γ -Sn 3 N 4 , from the elements and its Raman-s	69
The profile of the Higgs boson: status and prospects	68
Machine teaching in Swarm Metaverse under different levels of autonomy	58
Selective heterogeneous hydrodeoxygenation of acetophenone over monometallic and bimetallic Pt–Co catalyst	57
Relationship between the methods of bounding time averages	53
Accretion–ablation mechanics	52
Falling weight deflectometer dispersion curve method for pavement modulus calculation	50
A certain counterpart in dissipative setting of the Noether theorem with no dissipation pseudo-potentials	47
Neural in-memory checksums: an error detection and correction technique for safe in-memory inference	44
An inverse coefficient problem of identifying the flexural rigidity in damped Euler–Bernoulli beam from measured boundary rotation	44
Programmable adhesion through triangular and hierarchical cuts in metamaterial adhesives	44
Drought risk in the Anthropocene	42
Characterizing and predicting the relationship between translaminar fracture toughness and pull-out length distributions under distinct temperatures	41
A generalized Ogden model for the compressibility of rubber-like solids	41
Linear, weakly nonlinear and fully nonlinear models for soft tissues: which ones provide the most reliable estimations of the stiffness?	41
Taylor–Couette flow of hard-sphere suspensions: overview of current understanding	39
Studies of Turing pattern formation in zebrafish skin	38

From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories	37
Development of a new quantum trajectory molecular dynamics framework	37
Non-pharmaceutical interventions for COVID-19: a systematic review on environmental control measures	36
Reprogramming multi-stable snapping and energy dissipation in origami metamaterials through panel confinement	36
Distributed renewable energy systems for resilient and sustainable development of remote and vulnerable communities	35
Full-hand electrotactile feedback using electronic skin and matrix electrodes for high-bandwidth human–machine interfacing	35
Hierarchical deep learning of multiscale differential equation time-steppers	34
Socio-economic impacts of energy access through off-grid systems in rural communities: a case study of southwest Nigeria	34
A completely automated pipeline for 3D reconstruction of human heart from 2D cine magnetic resonance slices	34
Machine learning-based rail corrugation recognition: a metro vehicle response and noise perspective	33
The e-posterior	33
Assessment of uncertainty quantification in universal differential equations	33
Marangoni-driven nonlinear dynamics of bimolecular frontal systems: a general classification for equal diffusion coefficients	31
Quantum brachistochrone	31
Disentangling the effects of non-adiabatic interactions upon ion self-diffusion within warm dense hydrogen	30
Is the destruction or removal of atmospheric methane a worthwhile option?	30
Cold atoms meet lattice gauge theory	28
Self-regularization in turbulence from the Kolmogorov 4/5-law and alignment	28
Theories of disorder and order, energy and information, in sociological thought	27
Anti-plane waves in an elastic thin strip with surface energy	27
Orbital angular momentum of single photons: revealing quantum fundamentals	27
Coherent decision making stimulated within the social laser: open quantum systems framework	27
The influence of thermal pressure gradients and ionization (im)balance on the ambipolar diffusion and charge-neutral drifts	27
A parameter study of strato-rotational low-frequency modulations: impacts on momentum transfer and energy distribution	26
Optimizing the cost of the STEP programme	26
Theoretical study on time response of semiconductor photorefractive effects under subpicosecond ultra-fast X-rays	26
How periodic surfaces bend	26
Localized bulging of an inflated rubber tube with fixed ends	25
Vote-processing rules for combining control recommendations from multiple models	25
Turbulence characteristics and flow dynamics impacts on the H-mode transition in favourable magnetic geometry with lower power threshold	25
Practical parameter identifiability of respiratory mechanics in the extremely preterm infant	25
Quantum flux densities for electronic–nuclear motion: exact versus Born–Oppenheimer dynamics	25
Drifting plasmons in two-dimensional electron channels: circuit analogy	24
Automated polynomial formal verification using generalized binary decision diagram patterns	24
Geometrical origins of the universe dark sector: string-inspired torsion and anomalies as seeds for inflation and dark matter	24
Electromagnetic follow-up of gravitational waves: review and lessons learned	24
Growth and stabilization of induced seismicity rates during long-term, low-pressure fluid injection	24
Parametric resonance of Alfvén waves driven by ionization-recombination waves in the weakly ionized solar atmosphere	24
Optimal control of epidemic spreading in the presence of social heterogeneity	24
Geometric mechanics of kiri-origami-based bifurcated mechanical metamaterials	24
Harnessing electromagnetic data for tsunami source estimation: a comprehensive review	23
Rising methane: is there a methane emergency?	22
Modern perspectives on near-equilibrium analysis of Turing systems	22
Agricultural methane emissions and the potential formitigation	22
Answering some questions about structured illumination microscopy	22
Generalizing multipartite concentratable entanglement for practical applications: mixed, qudit and optical states	22
Non-Born–Oppenheimer effects in molecular photochemistry: an experimental perspective	22
Overturning in the subpolar North Atlantic: a review	22
An overview of elastic waveguides with dynamic sub-structures	21
Empowering minorities and everyone in participatory budgeting: an agent-based modelling perspective	20

Foreword to the special issue on new developments in structural stability	20
Modelling of seismic assessment for large geological systems	20
Passenger flow anomaly detection in urban rail transit networks with graph convolution network–informer and Gaussian Bayes models	19
Defect rocksalt structures in the La-Na-N system	19
Influence of Br − /S 2− site-exchange on Li diffusion mechanism in Li 6 PS 5	19
Photo-induced enhanced Raman spectroscopy as a probe for photocatalytic surfaces	19
Centaur 29P/Schwassmann–Wachmann 1 and its near-nucleus environment from a stellar occultation	19
Helical fluid and (Hall)-MHD turbulence: a brief review	19
Characterizing super-spreaders using population-level weighted social networks in rural communities	19
Fast-ion conduction and local environments in BIMEVOX	19
From conformal infinity to equations of motion: conserved quantities in general relativity	19
Tensile material instabilities in elastic beam lattices lead to a bounded stability domain	19
Editorial: new Editor-in-Chief and the 360th anniversary of Philosophical Transactions	19
Physics-inspired analysis of the two-class income distribution in the USA in 1983–2018	18
Modelling wave–ice interactions in three dimensions in the marginal ice zone	18
Editorial: Mathematical problems in physical fluid dynamics: part II	18
Nanocracks in nature and industry	18
Executive Summary to the Royal Society report “COVID-19: examining the effectiveness of non-pharmaceutical interventions”	18
Open-flow mixing and transfer operators	18
Methane removal and the proportional reductions in surface temperature and ozone	17
Computational infrared and Raman spectra by hybrid QM/MM techniques: a study on molecular and catalytic material systems	17
Special issue on heat and mass transfer in frost and ice	17
A wide dynamic range diamond quantum sensor as an electric vehicle battery monitor	17
Methods for quantifying methane emissions using unmanned aerial vehicles: a review	17
Variability of complex oscillatory regimes in the stochastic model of cold-flame combustion of a hydrocarbon mixture	17
Optimizing counterdiabaticity by variational quantum circuits	17
Bounds on heat flux for Rayleigh–Bénard convection between Navier-slip fixed-temperature boundaries	16
A reactor for in situ , time-resolved neutron diffraction studies of microwave-induced rapid solid-state chemical reactions	16
Feasibility of determining asphalt pavement condition from falling weight deflectometer test and finite element model updating	16
Gravity beyond Einstein? Yes, but in which direction?	16
Kinetic exchange models of societies and economies	16
Unmanned aerial vehicles equipped with sensor packages to study spatiotemporal variations of air pollutants in industry parks	16
Unified space–time description of pulsed twin beams	16
Combining contextuality and causality: a game semantics approach	16
Agreement and disagreement in a non-classical world	16
Fatigue of hybrid fibre-reinforced plastics	15
Carbon dioxide and hydrogen as building blocks for a sustainable interface of energy and chemistry	15
Searches for beyond-standard-model physics with astroparticle physics instruments	15
Modelling herd immunity requirements in Queensland: impact of vaccination effectiveness, hesitancy and variants of SARS-CoV-2	15
Opinion polarization in social networks	15
Bayesian emulation and history matching ofJUNE	15
Transitions in Taylor–Couette flow of concentrated non-colloidal suspensions	15
An operational distinction between quantum entanglement and classical non-separability	15
Acoustic waves in saturated porous media with gas bubbles	15
Paradigms of frustration in superionic solid electrolytes	15
Measures of contextuality in cyclic systems and the negative probabilities measure CNT 3	15
Modelling the Arctic wave-affected marginal ice zone: a comparison with ICESat-2 observations	15
Information decomposition in the frequency domain: a new framework to study cardiovascular and cardiorespiratory oscillations	15
Social sciences and energy research interactions	15
Argument and explanation	15
Infrasound associated with the eruption of the Hunga volcano	15
Modelling brain tissue elasticity with the Ogden model and an alternative family of constitutive models	14
Onset of synchronization in coupled Mixmaster oscillators	14
Ecosystem and soil respiration radiocarbon detects old carbon release as a fingerprint of warming and permafrost destabilization with climate change	14
Experimental perspectives on the matter–antimatter asymmetry puzzle: developments in electron EDM and H¯ experiments	14
Effectiveness of social distancing measures and lockdowns for reducing transmission of COVID-19 in non-healthcare, community-based settings	14
Correction to ‘Learning earth system models from observations: machine learning or data assimilation?’	14
Estimation of local time-varying reproduction numbers in noisy surveillance data	14
A special issue preface: Radiocarbon in the Anthropocene	14
Selective dynamic band gap tuning in metamaterials using graded photoresponsive resonator arrays	14
False positives for gravitational lensing: the gravitational-wave perspective	14
QCD factorization and quantum mechanics	14
Wave propagation in tailored metastructures consisting of elastic beams and rigid bodies	14
Interaction of scales for a singularly perturbed degenerating nonlinear Robin problem	14
Thermochemistry of hybrid materials	14
Data-driven nonlinear model reduction to spectral submanifolds in mechanical systems	14
Effective non-adiabatic holonomic quantum computation of cavity modes via invariant-based reverse engineering	13
Routes to turbulence in Taylor–Couette flow	13
Rare isotope-containing diamond colour centres for fundamental symmetry tests	13
Analytic and conformal scattering in general relativity	13
The lunar dust environment: concerns for Moon-based astronomy	13
Localized waves in elastic plates with perturbed honeycomb arrays of constraints	13
Nanostructured NiS 2 -based flexible smart sensors for human respiration monitoring	13
Remarks on the principles of statistical fluid mechanics	13
Surface wave across crack-tip in a lattice model	13
Systems for intricate patterning of the vertebrate anatomy	13
The case against smooth null infinity IV: Linearized gravity around Schwarzschild—an overview	13
Quantum dynamics with curvilinear coordinates: models and kinetic energy operator	13
Micrometeorite collections: a review and their current status	13
On the ethical governance of swarm robotic systems in the real world	13

Managing the heat: In-Vessel Components	13
Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity	13
The past, present and future of multi-scale modelling applied to wave–structure interaction in ocean engineering	13
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
Correction: ‘Drying paint: from micro-scale dynamics to mechanical instabilities’ (2017), by Goehring et al.	12
A special issue on Bayesian inference: challenges, perspectives and prospects	12
Effects of the growth and freezing of condensate droplets on the initial frost thickness and density of cold surfaces	12
Anisotropy in the cosmic acceleration inferred from supernovae	12
Taylor–Couette and related flows on the centennial of Taylor’s seminalPhilosophical Transactionspaper: part 2	12
Molecular interactions in short-chain perfluoroalkyl carboxylic acids and aqueous solutions	12
Statistics of the number of defects after quantum annealing in a thermal environment	12
Introduction to ‘Artificial intelligence in failure analysis of transportation infrastructure and materials'	12
Understanding domain-wall encoding theoretically and experimentally	12
A physics-guided modelling method of artificial neural network for multiaxial fatigue life prediction under irregular loading	12
Contributions of heterogeneous catalysis enabling resource efficiency and circular economy	12
C 0, α boundary regularity for the pressure in weak solutions of the 2 d Euler	12
A network model of legal relations	12
TransCrack: revisiting fine-grained road crack detection with a transformer design	12
Data science approaches to confronting the COVID-19 pandemic: a narrative review	12
Experimental–theoretical analysis of cooling and freezing of a droplet in contact with a cold substrate: influence of substrate wettability	12
Spin–orbit coupling and Jahn–Teller effect in T d symmetry: an ab initio study o	12
Negative refraction and mode trapping of flexural–torsional waves in elastic lattices	11
Conformal geodesics and the evolution of spacetimes with positive Cosmological constant	11
Atmospheric methane and nitrous oxide: challenges alongthe path to Net Zero	11
Highly efficient and rapid dechlorination of polyvinyl chloride via microwave pyrolysis	11
Sampling effects in quantum mechanical/molecular mechanics trajectory surface hopping non-adiabatic dynamics	11
Intelligent decision method for stability assessment of shield tunnel based on multi-objective data mining	11
H-mode dithering phase studies on ST40	11
Unified framework for localized patterns in reaction–diffusion systems; the Gray–Scott and Gierer–Meinhardt cases	11
Wave propagation in the marginal ice zone: connections and feedback mechanisms within the air–ice–ocean system	11
Systematic study of precursor effects on structure and oxygen reduction reaction activity of FeNC catalysts	11
Towards human-centred standards for legal help AI	11
Signalling and social learning in swarms of robots	11
Theory and application of cavity solitons in photonic devices	11
Should AMOC observations continue: how and why?	11
Variational inequality for a Timoshenko plate contacting at the boundary with an inclined obstacle	11
Generalized quasi-linear approximation and non-normality in Taylor–Couette spiral turbulence	11
Modelling changes in glass transition temperature in polymer matrices exposed to low molecular weight penetrants	11
A global assessment of the impact of school closure in reducing COVID-19 spread	11
Virtual walks inspired by a mean-field kinetic exchange model of opinion dynamics	11
Rapid eutectic growth: from rod growth to diffusionless solidification	11
Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions	11
Proof theory and non-smooth analysis	11
Thermoelectric instabilities in a circular Couette flow	11
Asymptotic derivation of a higher-order one-dimensional model for tape springs	11
Characteristics of constrained turbulent transport in flux-driven toroidal plasmas	11
Mechanics of pressurized planar hyperelastic membranes	11
Buoyancy forcing and the subpolar Atlantic meridional overturning circulation	11
Asymptotics of the meta-atom: plane wave scattering by a single Helmholtz resonator	11
Greater than the parts: a review of the information decomposition approach to causal emergence	11
A time variant uncertainty propagation method for high-dimensional dynamic structural system via K–L expansion and Bayesian deep neural network	11
Co-designing transport models as a heuristic planning tool	10
A variational approach to frame-indifferent quasistatic viscoelasticity of rate type	10
Experimental neutrino physics in a nuclear landscape	10
Arctic freshwater impact on the Atlantic Meridional Overturning Circulation: status and prospects	10
X-ray astronomy from the lunar surface	10
Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces	10
New insights into air-sea fluxes and their role in Subantarctic Mode Water formation	10
The quantum optics of media	10
Non-flooded riparian Amazon trees are a regionally significant methane source	10
Mathematical modelling of fracture waves in a blocky medium with thin compliant interlayers	10
Structured illumination ophthalmoscope: super-resolution microscopy on the living human eye	10
Galaxy clusters as probes of cosmic isotropy	10
Mean structure of the supercritical turbulent spiral in Taylor–Couette flow	10
Contrasting internally and externally generated Atlantic Multidecadal Variability and the role for AMOC in CMIP6 historical simulations	10
Tunable wave coupling in periodically rotated Miura-ori tubes	10
The quantum theory of light	10
An Ogden-like formulation incorporating phase-field fracture in elastomers: from brittle to pseudo-ductile failures	10
Towards an advanced neurotechnological system: colorimetric sensing with a novel grism-based spectrometer, functionalized gold nanoparticles and a heterogeneous embedded system	10
The biology of imaging	10
Isotopic signatures of methane emissions from tropical fires, agriculture and wetlands: the MOYA and ZWAMPS flights	10
On the ambipolar diffusion formulation for ion-neutral drifts in the non-negligible drift velocity limit	10
Understanding the effect of adsorption sites of CO at cobalt surface on its reactivity with H 2 /H by DFT calculations	9
End effects in low aspect ratio Taylor–Couette flow	9
Sailing through the southern seas of air–sea CO 2 flux uncertainty	9
Can we trust projections of AMOC weakening based on climate models that cannot reproduce the past?	9
Future challenges for structural integrity of high-Iintegrity components	9
Global-local multi-field models for the stress analysis of laminated structures	9
Transition of fluctuations from Gaussian state to turbulent state	9
Hamiltonian/Stroh formalism for anisotropic media with microstructure	9
Continuing invariant solutions towards the turbulent flow	9
Physical oceanographic factors controlling the ocean circulation-induced magnetic field	9
Novel 4D-printed multi-stable metamaterials: programmability of force-displacement behaviour and deformation sequence	9
Computational modelling of biological systems now and then: revisiting tools and visions from the beginning of the century	9
Physical model and numerical simulation of high-temperature silicification of carbon composite material	9
Active exterior cloaking of an inclusion with evanescent multipole devices for flexural waves in thin plates	9
Micro-magnetic stimulation of primary visual cortex induces focal and sustained activation of secondary visual cortex	9
Super-resolution microscopy: a brief history and new avenues	9
Touchdown-singularity formation and criticality in the thin-film equation	9
Mixed-quantum-classical or fully-quantized dynamics? A unified code to compare methods	9
Strong gravitational lenses from the Vera C. Rubin Observatory	9
Modelling of hemodynamics in bifurcation lesions of coronary arteries before and after myocardial revascularization	9
Discovering significant topics from legal decisions with selective inference	9
Technical challenges of modelling real-life epidemics and examples of overcoming these	9