Publications

Explore our publications to find out about our internationally recognised research which is creating an impact across the world.

Recent publications

Abdolali, A. et al., 2026. Basin-scale geometric focusing: a probabilistic-geometric framework for global tsunami exposure assessment and the 2025 Kamchatka Peninsula tsunami. Natural Hazards and Earth System Sciences 26 (8), pp.3597-3616. (10.5194/nhess-26-3597-2026)
Alexandrino, M. M. et al., 2026. Singular Riemannian foliations, variational problems and principles of symmetric criticalities. Annali di Matematica Pura ed Applicata (10.1007/s10231-026-01679-z)
Aliev, I. et al. 2026. Optimal proximity bound and product function estimates in integer linear programming. ArXiv (10.48550/arXiv.2606.13579)
Aliev, I. , Celaya, M. and Henk, M. 2026. Sparsity and proximity transference in integer programming. Mathematical Programming 216 , pp.29-48. (10.1007/s10107-024-02191-z)
Bansal, N. , Kaouri, A. and Woolley, T. 2026. Reducing size bias in epidemic network modelling. Journal of Theoretical Biology 618 112314. (10.1016/j.jtbi.2025.112314)
Barter, T. et al., 2026. BondBERT: What we learn when assigning sentiment in the bond market. Presented at: 18th International Conference on Agents and Artificial Intelligence Marbella, Spain 5-8 March 2026. Published in: Rocha, A. P. , Wahde, M. and Jaap van den Herik, H. eds. Proceedings of the 18th International Conference on Agents and Artificial Intelligence. Vol. 5.SCITEPRESS - Science and Technology Publications. , pp.4056-4063. (10.5220/0014251100004052)
Basri, M. H. et al., 2026. Reducing healthcare access inequities in West Java through forecasting and location-allocation models. BMC Health Services Research (10.1186/s12913-026-14889-1)
Beghin, L. et al., 2026. Stretched non-local Pearson diffusions. Stochastic Processes and their Applications 195 104854. (10.1016/j.spa.2025.104854)
Beghin, L. , Leonenko, N. and Vaz, J. 2026. Relaxation equations with stretched non-local operators: renewal and time-changed processes. Journal of Theoretical Probability 39 22. (10.1007/s10959-025-01479-w)
Behrend, R. E. et al. 2026. Partial Permutohedra. Discrete & Computational Geometry 76 , pp.589-642. (10.1007/s00454-025-00755-0)
Behrend, R. E. , Fischer, I. and Koutschan, C. 2026. Diagonally symmetric alternating sign matrices. Advances in Mathematics 504 111235. (10.1016/j.aim.2026.111235)
Benini, M. et al., 2026. C*-categorical prefactorization algebras for superselection sectors and topological order. Communications in Mathematical Physics 407 20. (10.1007/s00220-025-05525-w)
Beran, T. , Harvey, J. and Sämann, C. 2026. Curvature bounds, regularity and inextendibility of spacetimes. Classical and Quantum Gravity 43 145010. (10.1088/1361-6382/ae82af)
Binnie, J. A. D. , Sumray, O. and Yim, K. M. 2026. The chordal distance transform of geometric loops and its persistent homology. null (10.48550/arXiv.2603.17125)
Bögli, S. , Marletta, M. and Tretter, C. 2026. The Žislin essential numerical range for Schrödinger operators, with applications to Stark-type problems and their resonances. Annales Henri Poincaré (10.1007/s00023-026-01683-2)
Bols, A. et al., 2026. The category of anyon sectors for non-abelian quantum double models. Communications in Mathematical Physics 407 2. (10.1007/s00220-025-05492-2)
Brice, S. N. et al. 2026. Survey of ambulance usage by patients in metropolitan and provincial cities in Indonesia for Emergency Medical Services utilization. International Journal of Emergency Services 15 (1), pp.70-88. (10.1108/IJES-02-2024-0010)
Bustamante, R. and Sengul, Y. 2026. Constitutive modelling for nonlinearly viscoelastic solids where strain depends on stress and stress-rate. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 482 (2343) 20260006. (10.1098/rspa.2026.0006)
Capoferri, M. , Cherdantsev, M. and Velčić, I. 2026. High-contrast random systems of PDEs: homogenisation and spectral theory. Communications in Contemporary Mathematics 28 (1)(10.1142/S0219199725500294)
Charalambides, M. N. et al., 2026. Recent progress and future opportunities in rheology: a review by the British Society of Rheology. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 482 (2346) 20251108. (10.1098/rspa.2025.1108)
Charlesworth, I. and Jekel, D. 2026. Operator models and analytic subordination for operator-valued free convolution powers. Studia Mathematica (10.4064/sm251030-27-2)
Chen, L. et al., 2026. On ergodic properties of stochastic PDEs. Stochastics and Partial Differential Equations: Analysis and Computations 14 , pp.189-233. (10.1007/s40072-025-00365-0)
Chen, L. and Xia, P. 2026. Asymptotic properties of stochastic partial differential equations in the sublinear regime. The Annals of Probability 54 (4), pp.1686-1714. (10.1214/24-AOP1741)
Cherdantsev, M. , Cherednichenko, K. and Velčić, I. 2026. High-contrast random composites: homogenisation framework and spectral convergence. Communications in Mathematical Physics 407 (6) 113. (10.1007/s00220-026-05601-9)
Cherdantsev, M. , Piatnitski, A. and Velčić, I. 2026. Homogenisation and spectral convergence of high-contrast convolution type operators. Journal of Differential Equations 465 114247. (10.1016/j.jde.2026.114247)
Citti, G. et al., 2026. Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 24 (2), pp.720-741. (10.1137/25m1725954)
Corro, D. 2026. Collapsing regular Riemannian foliations with flat leaves. Revista Matemática Iberoamericana 42 (1), pp.95-122. (10.4171/rmi/1606)
crossref, Gagarin, A. et al. 2026. Surveys in combinatorics 2026. Cambridge: Cambridge University Press. (10.1017/9781009766012)
Dijkstra, L. , Zverovich, V. and Gagarin, A. 2026. Approximation algorithms and ratios for multiple domination in graphs. Discrete Applied Mathematics 394 , pp.94-104. (10.1016/j.dam.2026.07.021)
Dirr, N. , Fehrman, B. and Gess, B. 2026. Conservative stochastic PDE and fluctuations of the symmetric simple exclusion process. Communications in Mathematical Physics 407 74. (10.1007/s00220-026-05587-4)
Doherty, W. et al. 2026. Interface normal and curvature calculation for the conservative level set method. Journal of Computational Physics 547 114555. (10.1016/j.jcp.2025.114555)
Donhauzer, I. , Leonenko, N. and Olenko, A. 2026. Construction and limit theorems for supCAR fields. Journal of Theoretical Probability 39 (2) 42. (10.1007/s10959-026-01499-0)
Dragoni, F. 2026. Semiconcavity, viscosity solutions and the square distance in Carnot groups. Presented at: 2024 GAP Center Summer School Ghent November 2024. Published in: Chatzakou, M. , Ruzhansky, M. and Van Bockstal, K. eds. Direct and Inverse Problems with Applications: Extended Abstracts of the 2024 GAP Center Summer School. Trends in Mathematics Vol. 12. Birkhäuser Cham. , pp.49-56. (10.1007/978-3-031-98645-1_5)
Dragoni, F. et al. 2026. A fundamental solution for a seubelliptic operator in Finsler geometry. Indiana University Mathematics Journal 75 (1), pp.201-226. (10.1512/iumj.2026.75.60617)
Erbay, H. and Sengul, Y. 2026. Axially symmetric nonlinear wave propagation in elastic rods made of strain-limiting materials. International Journal of Engineering Science 223 104516. (10.1016/j.ijengsci.2026.104516)
Escott-Price, V. , Leonenko, G. and Schmidt, K. M. 2026. Positioning personal polygenic risk score against the population background. Research in Statistics 4 (1) 2685935. (10.1080/27684520.2026.2685935)
Farlie, F. et al., 2026. Balancing science and sustainability in ART: An international survey of green issues in IVF laboratories. Reproductive BioMedicine Online 53 (4) 105804. (10.1016/j.rbmo.2026.105804)
Faul, L. , Hoessly, L. and Xia, P. 2026. Identifiability of SDEs for reaction networks. European Journal of Applied Mathematics (10.1017/S0956792526100382)
Furukawa, H. et al., 2026. The influence of viscoelasticity on the dynamics of encapsulated microbubbles near a rigid surface forced by ultrasound. Journal of Non-Newtonian Fluid Mechanics 347 105518. (10.1016/j.jnnfm.2025.105518)
Gartner, D. et al. 2026. What is a Health Systems paper? [Editorial]. Health Systems (10.1080/20476965.2026.2701182)
Gartner, D. and Viana, J. 2026. Hybrid modelling for planning a reliable hospital-wide cleaning workforce. Operations Research, Data Analytics and Logistics 47 200510. (10.1016/j.ordal.2026.200510)
Gillard, J. 2026. Galton's bend revisited: Conditions for linearity of E[Y|x]. Sankhya B (10.1007/s13571-026-00415-0)
Gyenge, A. , Koppensteiner, C. and Logvinenko, T. 2026. The Heisenberg category of a category. Memoirs of the American Mathematical Society 320 1633. (10.1090/memo/1633)
Hambly, D. , Lewis, R. and Corcoran, P. 2026. Methods for finding paths of a prescribed length in weighted graphs. Presented at: EvoCOP 2026 Toulouse, France 8-10 April 2026. Published in: Krejca, M. S. and Pillay, N. eds. Evolutionary Computation in Combinatorial Optimization. Vol. 16522.Lecture Notes in Computer Science Cham: Springer Nature Switzerland. , pp.68-84. (10.1007/978-3-032-20537-7_5)
Hindmarsh, J. L. and Lettington, M. 2026. A new family of orthogonal polynomials related to Mellin transforms of Gegenbauer polynomials. Integral Transforms and Special Functions 37 (2), pp.126-141. (10.1080/10652469.2025.2515956)
John, O. et al., 2026. Mother & baby mental health inpatient provision for Wales–leveraging mathematical modelling for more effective and responsive mental health services [Abstract]. BJPsych Open 12 (S1), pp.S56-S57. (10.1192/bjo.2026.11072)
Kadri, U. 2026. On acoustic—gravity wave triad resonance over an elastic half-space. Journal of Fluid Mechanics 1037 A55. (10.1017/jfm.2026.11735)
Khidirova, E. and Karakus, O. 2026. UniCrop: A universal, multi-source data engineering pipeline for scalable crop yield prediction. Applied Sciences 16 (10) 4724. (10.3390/app16104724)
Knight, V. et al. 2026. Reviving, reproducing, and revisiting Axelrod’s second tournament. Communications AI & Computing 1 (1) 12. (10.1038/s44488-026-00016-w)
Kovtun, A. 2026. Dickman type stochastic processes with short- and long-range dependence. PhD Thesis , Cardiff University.
Kovtun, A. , Leonenko, N. and Pepelyshev, A. 2026. Singular properties of high-order spectral densities of supOU processes. Communications in Nonlinear Science and Numerical Simulation 153 109459. (10.1016/j.cnsns.2025.109459)
Krauel, M. , Shafiq, J. and Wood, S. 2026. The modular properties of sl (2) torus 1-point functions. Transactions of the American Mathematical Society (10.1090/tran/9722)
Lee, G. , Chen, J. and Ryu, D. 2026. Effectiveness of domain stabilization: A broader perspective. International Review of Economics & Finance 105 104799. (10.1016/j.iref.2025.104799)
Leonenko, N. et al. 2026. Probability of ruin within finite time and Cramér–Lundberg inequality for fractional risk processes. TEST 35 , pp.23-48. (10.1007/s11749-025-00991-9)
Leonenko, N. and Podlubny, I. 2026. Sibuya probability distribution and numerical evaluation of fractional-order operators. Fractional Calculus and Applied Analysis: An International Journal for Theory and Applications (10.1007/s13540-026-00547-0)
Leonenko, N. N. and Pepelyshev, A. 2026. Simulation of supOU processes with specified marginal distribution and correlation function. Modern Stochastics: Theory and Applications 13 (2), pp.225-254. (10.15559/25-VMSTA291)
Lewis, R. 2026. Graph coloring you can see: Visual intuition with Python. [Online].https://towardsdatascience.com/: Towards Data Science. Available at: https://towardsdatascience.com/graph-coloring-you-can-see-visual-intuition-with-python/.
Lewis, R. 2026. Graph colouring: a visual tour. null 2602.1 (10.48550/arXiv.2602.18246)
Marletta, M. and Semorádová, I. 2026. Weyl-function asymptotics with applications to PT-symmetry and point interactions. Analysis and Mathematical Physics 16 (4) 103. (10.1007/s13324-026-01245-z)
Matthies, K. and Winter, R. 2026. Improved geometric and recollision estimates for the invariance principle of the random Lorentz gas. Nonlinearity 39 (3) 035003. (10.1088/1361-6544/ae4602)
Mihai, L. A. and Modes, C. D. 2026. Editorial for special collection on liquid crystal elastomers and their theory [Editorial]. Journal of Elasticity 158 (9)(10.1007/s10659-026-10186-4)
Mil-Martínez, A. M. et al., 2026. Rheo-kinetic predictions using a finitely extensible nonlinear elastic transient network model, Part I: Simple shear flow. Journal of Non-Newtonian Fluid Mechanics 348 105566. (10.1016/j.jnnfm.2026.105566)
Nakano, H. et al., 2026. Fusion rules and rigidity for weight modules over the simple admissible affine sl(2) and N=2 superconformal vertex operator superalgebras. Advances in Mathematics 502 (Part A) 111124. (10.1016/j.aim.2026.111124)
Námešná, A. et al. 2026. Synaptic and circuit mechanisms shaping neurodevelopmental and psychiatric outcomes associated with 16p11.2 copy number variation. Genes 17 (6) 716. (10.3390/genes17060716)
Niven, V. et al., 2026. Prevention first – modelling evidence-based prevention with the dental team for children in England. British Dental Journal 240 (10), pp.681-686. (10.1038/s41415-026-9626-6)
Okorie, K. et al., 2026. A forward-reflected-backward algorithm with momentum terms for solving bilevel monotone inclusion problems with an application. Quaestiones Mathematicae (10.2989/16073606.2026.2700673)
Palmer, G. I. et al. 2026. Queues under stochastic priority switching. Journal of the Operational Research Society 77 (5), pp.1225-1243. (10.1080/01605682.2025.2525939)
Pennig, U. and Tridimas, G. 2026. Infinite loop spaces and group actions on strongly self-absorbing C*-algebras. arXiv (10.48550/arXiv.2607.20105)
Poudel, R. , Şengül, Y. and Mihai, L. A. 2026. A numerical model for the viscoelastic behaviour of liquid crystal elastomers. Engineering with Computers 42 (4) 119. (10.1007/s00366-026-02352-y)
Pretty, A. et al. 2026. The effect of local ventilation on a spatiotemporal model of airborne disease transmission in indoor spaces. European Journal of Applied Mathematics (10.1017/s0956792526100485)
Prykarpatski, A. and Balinsky, A. 2026. Some remarks on linear closed subspaces in Bergman spaces. Bulletin of L.N. Gumilyov Eurasian National University 154 (1), pp.6-14. (10.32523/bulmathenu.2026/1.1)
Pulikandala, N. K. , Umeorah, N. and Alochukwu, A. 2026. Regime-dependent graph neural networks for enhanced volatility prediction in financial markets. Mathematics 14 (2) 289. (https://doi.org/10.3390/math14020289)
Richards, B. 2026. The enumeration of certain classes of alternating sign matrices. PhD Thesis , Cardiff University.
Sahjwani, P. 2026. Stability of Minkowski-type inequalities in certain warped product spaces. Journal of Evolution Equations 26 (4) 100. (10.1007/s00028-026-01244-4)
Sciortino, M. 2026. An algorithmic framework for school bus routing with stop selection and on-time reliability. PhD Thesis , Cardiff University.
Singla, K. and Leonenko, N. 2026. On solutions of space-time fractional nonlinear Fokker–Planck equation. II. Fractional Calculus and Applied Analysis: An International Journal for Theory and Applications 29 , pp.1921-1936. (10.1007/s13540-026-00546-1)
Thompson, J. 2026. Genetic algorithms. In: Kulkarni, A. J. , Mezura-Montes, E. and Bonakdari, H. eds. Encyclopedia of Engineering Optimization and Heuristics. Singapore: Springer(10.1007/978-981-96-8165-5_236-1)
Thompson, J. 2026. Integer programming. In: Kulkarni, A. J. , Mezura-Montes, E. and Bonakdari, H. eds. Encyclopedia of Engineering Optimization and Heuristics. Springer Nature Singapore(10.1007/978-981-96-8165-5_207-1)
Thompson, J. 2026. Memetic algorithms. In: Kulkarni, A. J. , Mezura-Montes, E. and Bonakdari, H. eds. Encyclopedia of Engineering Optimization and Heuristics. Springer Nature Singapore(10.1007/978-981-96-8165-5_238-1)
Warrell, D. et al., 2026. SRS393 - Smarter scheduling: using artificial intelligence in gallstone pancreatitis surgery prioritisation [Abstract]. British Journal of Surgery 113 (S2) znag018.349. (10.1093/bjs/znag018.349)
Williams, B. , Abdolali, A. and Kadri, U. 2026. Linear propagation of tsunami and acoustic–gravity waves on a sphere: Geometrical focusing and defocusing. Wave Motion 140 103643. (10.1016/j.wavemoti.2025.103643)
Williams, E. H. et al. 2026. A data-driven exploratory analysis of the alcohol-harm paradox in south-east Wales. International Journal of Environmental Research and Public Health 23 (8) 1058. (10.3390/ijerph23081058)
Williams, E. H. et al. 2026. A systematic review of operational research modelling for alcohol consumption and its consequences. Health Systems 15 (1), pp.6-41. (10.1080/20476965.2025.2523751)
Williams, E. et al. 2026. An optimisation framework for resource allocation in palliative and end-of-life care. Scientific Reports 16 17557. (10.1038/s41598-026-45072-5)
Williams, E. et al. 2026. Bed and stoma nurse capacity planning for frail and elderly patients undergoing emergency laparotomy: a simulation modelling approach. Presented at: Winter Simulation Conference Glasgow, Scotland, UK 6-9 December 2026. Published in: Ramomohan, V. et al., Proceedings of 2026 Winter Simulation Conference.
Williams, E. , Gartner, D. and Harper, P. 2026. Predictive and prescriptive analytics for multi-site modelling of frail and elderly patient services. Journal of the Operational Research Society 77 (2), pp.480-498. (10.1080/01605682.2025.2487650)
Woolley, T. 2026. Mind the gap: A solution to the robustness problem of Turing patterns through patterning mode isolation. AppliedMath 6 (1) 3.
Woolley, T. 2026. Turing bifurcations on elliptical domains: A deviation from rectangular and circular limits. International Journal of Applied and Computational Mathematics 12 (2) 25. (10.1007/s40819-026-02100-2)
Woolley, T. and Klika, V. 2026. Role of dimension and geometry: non-uniqueness in the pseudo-one-dimensional limit for Turing patterns on parallelograms. European Journal of Applied Mathematics (10.1017/S0956792526100515)
Wray, N. R. and Owen, M. J. 2026. Psychiatric nosology should include genetic syndromes [Commentary]. Biological Psychiatry 99 (7), pp.508-510. (10.1016/j.biopsych.2026.01.008)
Wu, F. 2026. Network-based approaches in modelling financial contagion. PhD Thesis , Cardiff University.
Yang, X. et al., 2026. Heterogeneous agent-based model, artificial stock market, and secondary priority rules. Expert Systems with Applications 314 131454. (10.1016/j.eswa.2026.131454)
Yao, K. et al. 2026. 78. Joint modelling of polygenic risk and rare variants enhances liability-based disease prediction [Abstract]. European Neuropsychopharmacology 111 (Supple) 113105. (10.1016/j.euroneuro.2026.113105)
Yim, K. M. and Djima, K. Y. 2026. Power spectrum signatures of graphs. Applied and Computational Harmonic Analysis 85 101893. (10.1016/j.acha.2026.101893)
Zhang, Y. et al., 2026. Firm size and momentum returns: the roles of analyst coverage and herding behavior. Financial Markets, Institutions & Instruments (10.1111/fmii.70011)
Zuccoli, E. and Kadri, U. 2026. Compressible effects in the propagation of nonlinear shallow water waves: Models and simulations. European Journal of Mechanics - B/Fluids 116 204397. (10.1016/j.euromechflu.2025.204397)
Zverovich, A. , Hutchings, M. and Gauthier, B. 2026. Rescaling and asymptotic acceleration in unconstrained quadratic optimisation. La Matematica 5 (2) 43. (10.1007/s44007-026-00212-1)