Philosophical Transactions of the Royal Society A-Mathematical Physica

Article	Citations
Drought risk in the Anthropocene	191
Machine teaching in Swarm Metaverse under different levels of autonomy	160
Full-hand electrotactile feedback using electronic skin and matrix electrodes for high-bandwidth human–machine interfacing	139
Development of a new quantum trajectory molecular dynamics framework	99
Asymptotic symmetries of projectively compact order one Einstein manifolds	88
A stochastic model of edge-localized modes in magnetically confined plasmas	73
A comparison of Gaussian processes and polynomial chaos emulators in the context of haemodynamic pulse–wave propagation modelling	59
Falling weight deflectometer dispersion curve method for pavement modulus calculation	59
A certain counterpart in dissipative setting of the Noether theorem with no dissipation pseudo-potentials	58
Neural in-memory checksums: an error detection and correction technique for safe in-memory inference	55
An inverse coefficient problem of identifying the flexural rigidity in damped Euler–Bernoulli beam from measured boundary rotation	55
Hierarchical deep learning of multiscale differential equation time-steppers	53
Reprogramming multi-stable snapping and energy dissipation in origami metamaterials through panel confinement	53
Astrophysics: a modern discipline with a Newtonian origin	51
Heatwave increases nighttime light intensity in hyperdense cities of the Global South: a double machine learning study	49
How can we automate future gridded Antarctic ice-sheet and bed mapping?	46
Synthesis of tin(IV) nitride with spinel structure, γ -Sn 3 N 4 , from the elements and its Raman-s	45
Accretion–ablation mechanics	44
Programmable adhesion through triangular and hierarchical cuts in metamaterial adhesives	43
Assessment of uncertainty quantification in universal differential equations	40
Nyström method analysis of electromagnetic transmission through a dielectric-filled slot in a thick perfectly conducting shield	39
Challenges and opportunities for time-delay cosmography with multi-messenger gravitational lensing	39
Linear, weakly nonlinear and fully nonlinear models for soft tissues: which ones provide the most reliable estimations of the stiffness?	38
Temporarily trapped: stormwater pond sediment is a key transient sink for microplastic debris	38
Stimulated emission to absorption cross-section ratio in quantum-confined lead halide perovskite nanocrystals: cation, shape and size independence	38

Machine learning-based rail corrugation recognition: a metro vehicle response and noise perspective	37
Quantification of fragmentation capture materials and an assessment of the viability of economical alternatives: a preliminary study	35
The profile of the Higgs boson: status and prospects	35
A generalized Ogden model for the compressibility of rubber-like solids	35
Taylor–Couette flow of hard-sphere suspensions: overview of current understanding	34
Non-pharmaceutical interventions for COVID-19: a systematic review on environmental control measures	34
Comparative Wiener–Hopf analysis of the radar cross sections of two canonical, parallel-plate waveguide cavities with material loading	34
Bridging the gap: a review on the interaction between (micro)plastics and climate change	33
Characterizing and predicting the relationship between translaminar fracture toughness and pull-out length distributions under distinct temperatures	32
Theories of disorder and order, energy and information, in sociological thought	31
How periodic surfaces bend	31
Harnessing electromagnetic data for tsunami source estimation: a comprehensive review	29
Dedication: Michael Robert Moldover	27
Atomic and molecular systems for radiation thermometry	27
Preface to ‘Newton, Principia , Newton Geneva Edition (17th–19th) and modern Newtonian mechanics: heritage, past & present’	27
The influence of thermal pressure gradients and ionization (im)balance on the ambipolar diffusion and charge-neutral drifts	26
Generalizing multipartite concentratable entanglement for practical applications: mixed, qudit and optical states	26
Disentangling the effects of non-adiabatic interactions upon ion self-diffusion within warm dense hydrogen	26
Anti-plane waves in an elastic thin strip with surface energy	25
Overturning in the subpolar North Atlantic: a review	24
Turbulence characteristics and flow dynamics impacts on the H-mode transition in favourable magnetic geometry with lower power threshold	24
Parametric resonance of Alfvén waves driven by ionization-recombination waves in the weakly ionized solar atmosphere	23
Localized bulging of an inflated rubber tube with fixed ends	23
Drifting plasmons in two-dimensional electron channels: circuit analogy	23
Automated polynomial formal verification using generalized binary decision diagram patterns	23
Practical parameter identifiability of respiratory mechanics in the extremely preterm infant	23
Vote-processing rules for combining control recommendations from multiple models	23
Orbital angular momentum of single photons: revealing quantum fundamentals	22
Micro-scale modelling of the urban heat island hazard during heatwaves: a case study in Turin	22
Coherent decision making stimulated within the social laser: open quantum systems framework	22
Electromagnetic follow-up of gravitational waves: review and lessons learned	22
Geometric mechanics of kiri-origami-based bifurcated mechanical metamaterials	22
Growth and stabilization of induced seismicity rates during long-term, low-pressure fluid injection	21
Marangoni-driven nonlinear dynamics of bimolecular frontal systems: a general classification for equal diffusion coefficients	21
Theoretical study on time response of semiconductor photorefractive effects under subpicosecond ultra-fast X-rays	21
Self-regularization in turbulence from the Kolmogorov 4/5-law and alignment	21
Co-enrichment of Ce and organics in microbe-like structures at the deep-sea ferromanganese crust surface	20
From conformal infinity to equations of motion: conserved quantities in general relativity	20
A parameter study of strato-rotational low-frequency modulations: impacts on momentum transfer and energy distribution	20
Quantum brachistochrone	20
The e-posterior	20
Optimizing the cost of the STEP programme	20
Domain decomposition multiple scattering solvers by semi-infinite and infinite arrays of discrete identical scatterers in two dimensions	20
Editorial: Mathematical problems in physical fluid dynamics: part II	20
Defect rocksalt structures in the La-Na-N system	19
Nanocracks in nature and industry	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
Editorial: new Editor-in-Chief and the 360th anniversary of Philosophical Transactions	19
Feasibility of determining asphalt pavement condition from falling weight deflectometer test and finite element model updating	18

Computational infrared and Raman spectra by hybrid QM/MM techniques: a study on molecular and catalytic material systems	18
Modelling epidemics with memory effects: an open quantum system approach	18
Foreword to the special issue on new developments in structural stability	18
Unmanned aerial vehicles equipped with sensor packages to study spatiotemporal variations of air pollutants in industry parks	18
Flash-flood-driven litter accumulation on beaches studied with aerial imagery and machine learning on Sicily’s northeastern coast, southern Italy	18
Special issue on heat and mass transfer in frost and ice	18
From Newton to Hawking and back: Newtonian analogies in spherical spacetimes, gravitoelectromagnetism and Hawking mass	18
A wide dynamic range diamond quantum sensor as an electric vehicle battery monitor	18
Tensile material instabilities in elastic beam lattices lead to a bounded stability domain	17
Scattering analysis of circular apertures excited by off-axis sources by means of dual integral equations and analytical regularization	17
Executive Summary to the Royal Society report “COVID-19: examining the effectiveness of non-pharmaceutical interventions”	17
Antarctic grounding zone and bedrock: the interplay shaping Antarctic sea-level contribution	17
Passenger flow anomaly detection in urban rail transit networks with graph convolution network–informer and Gaussian Bayes models	17
An overview of elastic waveguides with dynamic sub-structures	17
The Nyström scheme in modelling E -polarized wave scattering on a non-PEC strip system in the presence and absence of the screen	17
Optimizing counterdiabaticity by variational quantum circuits	17
Optical gating in electronically bistable spin systems for quantum science	17
Modelling of seismic assessment for large geological systems	17
Empowering minorities and everyone in participatory budgeting: an agent-based modelling perspective	16
Quantification of flagellar gait changes with combined shape mode analysis and swimming simulations	16
Social sciences and energy research interactions	16
Gravity beyond Einstein? Yes, but in which direction?	16
Tychonic worries on Newton: comments from Book III of the 1822 Geneva Edition of Principia Mathematica	16
Carbon dioxide and hydrogen as building blocks for a sustainable interface of energy and chemistry	16
Modelling wave–ice interactions in three dimensions in the marginal ice zone	16
Searches for beyond-standard-model physics with astroparticle physics instruments	16
Natural and anthropogenic factors driving the distribution of seafloor litter along coastal submarine canyons of southern Italy	16
Fatigue of hybrid fibre-reinforced plastics	16
Modelling the Arctic wave-affected marginal ice zone: a comparison with ICESat-2 observations	16
Measures of contextuality in cyclic systems and the negative probabilities measure CNT 3	16
Bayesian machine learning for inverse design of ultra-high-performance concrete	16
An operational distinction between quantum entanglement and classical non-separability	16
Infrasound associated with the eruption of the Hunga volcano	16
Argument and explanation	16
Challenges of primary thermometry above 300 K	16
Unified space–time description of pulsed twin beams	16
Acoustic waves in saturated porous media with gas bubbles	15
Scalar wave diffraction by an open-ended sphere-conical cavity: the Abel integral transform in the Dirichlet and Neumann problems	15
A reactor for in situ , time-resolved neutron diffraction studies of microwave-induced rapid solid-state chemical reactions	15
A methodology for accurate benchmarking of neural network accelerators using a high-level synthesis-based hardware generator	15
The influence of flow on the amount, retention and loss of plastic pollution in an urban river	15
Transitions in Taylor–Couette flow of concentrated non-colloidal suspensions	15
Bayesian emulation and history matching of JUNE	15
Modelling brain tissue elasticity with the Ogden model and an alternative family of constitutive models	15
Combining contextuality and causality: a game semantics approach	15
False positives for gravitational lensing: the gravitational-wave perspective	15
Agreement and disagreement in a non-classical world	15
Regularization of electromagnetic scattering problems via the Abel integral transform	15
Data-driven nonlinear model reduction to spectral submanifolds in mechanical systems	15
Bayesian symbolic regression: automated equation discovery from a physicist’s perspective	15
Effectiveness of social distancing measures and lockdowns for reducing transmission of COVID-19 in non-healthcare, community-based settings	15
Modelling herd immunity requirements in Queensland: impact of vaccination effectiveness, hesitancy and variants of SARS-CoV-2	14
Nanostructured NiS 2 -based flexible smart sensors for human respiration monitoring	14
A special issue preface: Radiocarbon in the Anthropocene	14
Coefficient-to-Basis Network: a fine-tunable operator learning framework for inverse problems with adaptive discretizations and theoretical guarantees	14
Ecosystem and soil respiration radiocarbon detects old carbon release as a fingerprint of warming and permafrost destabilization with climate change	14
The lunar dust environment: concerns for Moon-based astronomy	14
Micrometeorite collections: a review and their current status	14
Estimation of local time-varying reproduction numbers in noisy surveillance data	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
Localized waves in elastic plates with perturbed honeycomb arrays of constraints	14
Analytic and conformal scattering in general relativity	14
On the ethical governance of swarm robotic systems in the real world	14
Routes to turbulence in Taylor–Couette flow	14
Rare isotope-containing diamond colour centres for fundamental symmetry tests	14
Experimental perspectives on the matter–antimatter asymmetry puzzle: developments in electron EDM and H¯ experiments	14
Interaction of scales for a singularly perturbed degenerating nonlinear Robin problem	14
Managing the heat: In-Vessel Components	14
Selective dynamic band gap tuning in metamaterials using graded photoresponsive resonator arrays	14
The case against smooth null infinity IV: Linearized gravity around Schwarzschild—an overview	14
The past, present and future of multi-scale modelling applied to wave–structure interaction in ocean engineering	14
Wave propagation in tailored metastructures consisting of elastic beams and rigid bodies	14
Experimental–theoretical analysis of cooling and freezing of a droplet in contact with a cold substrate: influence of substrate wettability	13
A network model of legal relations	13
H-mode dithering phase studies on ST40	13
Spin–orbit coupling and Jahn–Teller effect in T d symmetry: an ab initio study o	13
Effects of the growth and freezing of condensate droplets on the initial frost thickness and density of cold surfaces	13
Generalized quasi-linear approximation and non-normality in Taylor–Couette spiral turbulence	13
Modelling changes in glass transition temperature in polymer matrices exposed to low molecular weight penetrants	13

Machine-learning perspectives on Volterra system identification	13
Thermochemistry of hybrid materials	13
Statistics of the number of defects after quantum annealing in a thermal environment	13
Intelligent decision method for stability assessment of shield tunnel based on multi-objective data mining	13
Brane-world singularities and asymptotics of five-dimensional bulk fluids	13
Understanding domain-wall encoding theoretically and experimentally	13
Molecular interactions in short-chain perfluoroalkyl carboxylic acids and aqueous solutions	12
A special issue on Bayesian inference: challenges, perspectives and prospects	12
Variational inequality for a Timoshenko plate contacting at the boundary with an inclined obstacle	12
Surfactant self-assembly and micelle elongation in reline: structural basis and driving forces	12
Buoyancy forcing and the subpolar Atlantic meridional overturning circulation	12
Special issue on bits, neurons and qubits for sustainable AI	12
Asymptotics of the meta-atom: plane wave scattering by a single Helmholtz resonator	12
Hierarchical Bayesian non-response models for error rates in forensic black-box studies	12
A physics-guided modelling method of artificial neural network for multiaxial fatigue life prediction under irregular loading	12
Mechanics of pressurized planar hyperelastic membranes	12
Ionic liquids: the chemistry beyond the ion pair	12
Highly efficient and rapid dechlorination of polyvinyl chloride via microwave pyrolysis	12
Introduction to ‘Artificial intelligence in failure analysis of transportation infrastructure and materials'	12
Influence of microplastics on small-scale soil surface roughness and implications for wind transport of microplastic particles	12
TransCrack: revisiting fine-grained road crack detection with a transformer design	12
Correction: ‘Drying paint: from micro-scale dynamics to mechanical instabilities’ (2017), by Goehring et al.	12
Greater than the parts: a review of the information decomposition approach to causal emergence	11
Characteristics of constrained turbulent transport in flux-driven toroidal plasmas	11
Using Antarctic subglacial relic landscapes to inform past ice sheet retreat in the warm Pliocene	11
Proof theory and non-smooth analysis	11
Mathematical modelling of fracture waves in a blocky medium with thin compliant interlayers	11
Asymptotic derivation of a higher-order one-dimensional model for tape springs	11
Urban heat above and below ground: towards improved understanding, modelling, mitigation and adaptation	11
Should AMOC observations continue: how and why?	11
Urbanization effects on lake–land circulations in complex terrain	11
Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces	11
Wave propagation in the marginal ice zone: connections and feedback mechanisms within the air–ice–ocean system	11
Contributions of heterogeneous catalysis enabling resource efficiency and circular economy	11
Taylor–Couette and related flows on the centennial of Taylor’s seminalPhilosophical Transactionspaper: part 2	11
Applicability of two computational fluid dynamics models and one mesoscale model for predicting urban heat island circulation	11
Anisotropy in the cosmic acceleration inferred from supernovae	11
A time variant uncertainty propagation method for high-dimensional dynamic structural system via K–L expansion and Bayesian deep neural network	10
X-ray astronomy from the lunar surface	10
Theory and application of cavity solitons in photonic devices	10
Towards human-centred standards for legal help AI	10
Arctic freshwater impact on the Atlantic Meridional Overturning Circulation: status and prospects	10
The quantum optics of media	10
New insights into air-sea fluxes and their role in Subantarctic Mode Water formation	10
Mean structure of the supercritical turbulent spiral in Taylor–Couette flow	10
The need for verification in artificial intelligence-driven scientific discovery	10
Co-designing transport models as a heuristic planning tool	10
A variational approach to frame-indifferent quasistatic viscoelasticity of rate type	10
Fine-tuning the dispersion of active suspensions with oscillatory flows	10
Tunable wave coupling in periodically rotated Miura-ori tubes	10
Future traceability of practical primary thermometry and self-validating thermometry	10
Contrasting internally and externally generated Atlantic Multidecadal Variability and the role for AMOC in CMIP6 historical simulations	10
GPT-4 passes the bar exam	10
The quantum theory of light	10
Signalling and social learning in swarms of robots	10
An Ogden-like formulation incorporating phase-field fracture in elastomers: from brittle to pseudo-ductile failures	10
Boosting positron emission tomography reconstruction with positional encoding-based deep image prior	10
Experimental neutrino physics in a nuclear landscape	10
Modal analysis and optimization of swimming active filaments	10
Sailing through the southern seas of air–sea CO 2 flux uncertainty	10
Global-local multi-field models for the stress analysis of laminated structures	10
On the ambipolar diffusion formulation for ion-neutral drifts in the non-negligible drift velocity limit	10
Negative refraction and mode trapping of flexural–torsional waves in elastic lattices	10
Genevan encounters with Newton. Gabriel Cramer, Jean-Louis Calandrini and the annotated edition of the Principia	10
Cellulose-supported PdNi bimetal catalyst for selective nitriles hydrogenation	10
A community vision for next-generation bed mapping in Antarctica	10
Galaxy clusters as probes of cosmic isotropy	10
Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions	10
Conformal geodesics and the evolution of spacetimes with positive Cosmological constant	10
Towards an advanced neurotechnological system: colorimetric sensing with a novel grism-based spectrometer, functionalized gold nanoparticles and a heterogeneous embedded system	10
Thermoelectric instabilities in a circular Couette flow	10
Classical consequences of constructive systems	9
Strong gravitational lenses from the Vera C. Rubin Observatory	9
Hamiltonian/Stroh formalism for anisotropic media with microstructure	9
Novel 4D-printed multi-stable metamaterials: programmability of force-displacement behaviour and deformation sequence	9
Dissemination of thermodynamic temperature by gas thermometry below 300 K	9
Physical model and numerical simulation of high-temperature silicification of carbon composite material	9
Discovering significant topics from legal decisions with selective inference	9
Graphene nanoplatelets on recycled rubber: an experimental study of material properties and mechanical improvements	9
Continuing invariant solutions towards the turbulent flow	9
End effects in low aspect ratio Taylor–Couette flow	9
Pseudo-bistability of viscoelastic shells	9
A perfectly matched layer–boundary integral equation method for wave scattering in a two-layer medium of a step-like interface	9
Understanding the effect of adsorption sites of CO at cobalt surface on its reactivity with H 2 /H by DFT calculations	9
Spectral invariants of ergodic symbolic systems for pattern recognition and anomaly detection	9
Touchdown-singularity formation and criticality in the thin-film equation	9
Physical oceanographic factors controlling the ocean circulation-induced magnetic field	9
Load-dependent resistive-force theory for helical filaments	9
A new family of ladder operators for macroscopic systems, with applications	9
Future challenges for structural integrity of high-Iintegrity components	9
Micro-magnetic stimulation of primary visual cortex induces focal and sustained activation of secondary visual cortex	9
Technical challenges of modelling real-life epidemics and examples of overcoming these	9
Active exterior cloaking of an inclusion with evanescent multipole devices for flexural waves in thin plates	9
Snap buckling of bistable beams under combined mechanical and magnetic loading	9
Synthetic bed topographies for Antarctica and their utility in ice sheet modelling	8