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Online Research @ Cardiff

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Number of items: 94.

Article

Abdolali, Ali, Lam, Michael-Angelo Y.-H., Kadri, Usama

, Malej, Matt, Filimonov, Maxim

and Shi, Fengyan 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, Marcos M., Cavenaghi, Leonardo F., Corro, Diego and Inagaki, Marcelo K. 2026. Singular Riemannian foliations, variational problems and principles of symmetric criticalities. Annali di Matematica Pura ed Applicata 10.1007/s10231-026-01679-z

Aliev, Iskander

, Celaya, Marcel

and Henk, Martin 2026. Sparsity and proximity transference in integer programming. Mathematical Programming 216 , pp. 29-48. 10.1007/s10107-024-02191-z

Bansal, Neha, Kaouri, Aikaterini

and Woolley, Thomas

2026. Reducing size bias in epidemic network modelling. Journal of Theoretical Biology 618 , 112314. 10.1016/j.jtbi.2025.112314

Basri, Mursyid Hasan, Price, Rhys, Harper, Paul

, Hilfi, Lukman, Gartner, Daniel

and Brice, Syaribah 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, Luisa, Leonenko, Nikolai

, Papaic, Ivan and Vaz, Jayme 2026. Stretched non-local Pearson diffusions. Stochastic Processes and their Applications 195 , 104854. 10.1016/j.spa.2025.104854

Beghin, Luisa, Leonenko, Nikolai

and Vaz, Jayme 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, Roger E.

, Castillo, Federico, Chavez, Anastasia, Diaz-Lopez, Alexander, Escobar, Laura, Harris, Pamela E. and Insko, Erik 2026. Partial Permutohedra. Discrete & Computational Geometry 76 , pp. 589-642. 10.1007/s00454-025-00755-0

Benini, Marco, Carmona, Victor, Naaijkens, Pieter

and Schenkel, Alexander 2026. C*-categorical prefactorization algebras for superselection sectors and topological order. Communications in Mathematical Physics 407 , 20. 10.1007/s00220-025-05525-w

Beran, Tobias, Harvey, John

and Sämann, Clemens 2026. Curvature bounds, regularity and inextendibility of spacetimes. Classical and Quantum Gravity 43 , 145010. 10.1088/1361-6382/ae82af

Bögli, Sabine, Marletta, Marco

and Tretter, Christiane 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, Alex, Hamdan, Mahdie, Naaijkens, Pieter

and Vadnerkar, Siddharth 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, Syaribah Noor, Harper, Paul

, Suhartono, Raden, Rini, Asti Puspita, Pusponegoro, Aryono Djuned, Palmer, Geraint

, Knight, Vincent

, Tuson, Mark, Lloyd, Jennifer, Turnbull-Ross, Jonathan and Gartner, Daniel

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, Matteo

, Cherdantsev, Mikhail

and Velčić, Igor 2026. High-contrast random systems of PDEs: homogenisation and spectral theory. Communications in Contemporary Mathematics 28 (1) 10.1142/S0219199725500294

Charlesworth, Ian and Jekel, David 2026. Operator models and analytic subordination for operator-valued free convolution powers. Studia Mathematica 10.4064/sm251030-27-2

Chen, Le, Ouyang, Cheng, Tindel, Samy and Xia, Panqiu 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, Le and Xia, Panqiu 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, Mikhail

, Cherednichenko, Kirill and Velčić, Igor 2026. High-contrast random composites: homogenisation framework and spectral convergence. Communications in Mathematical Physics 407 (6) , 113. 10.1007/s00220-026-05601-9

Cherdantsev, Mikhail

, Piatnitski, Andrey and Velčić, Igor 2026. Homogenisation and spectral convergence of high-contrast convolution type operators. Journal of Differential Equations 465 , 114247. 10.1016/j.jde.2026.114247

Citti, Giovanna, Dirr, Nicolas

, Dragoni, Federica

and Grande, Raffaele 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, Diego 2026. Collapsing regular Riemannian foliations with flat leaves. Revista Matemática Iberoamericana 42 (1) , pp. 95-122. 10.4171/rmi/1606

Dijkstra, Lukas, Zverovich, Vadim and Gagarin, Andrei

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, Nicolas

, Fehrman, Benjamin and Gess, Benjamin 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, William, Phillips, Timothy

, Uhlmann, Markus and Xie, Zhihua

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, Illia, Leonenko, Nikolai

and Olenko, Andriy 2026. Construction and limit theorems for supCAR fields. Journal of Theoretical Probability 39 (2) , 42. 10.1007/s10959-026-01499-0

Dragoni, Federica

, Garofalo, Nicola, Giovannardi, Gianmarco and Salani, Paolo 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.A. and Sengul, Yasemin 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, Valentina

, Leonenko, Ganna

and Schmidt, Karl Michael

2026. Positioning personal polygenic risk score against the population background. Research in Statistics 4 (1) , 2685935. 10.1080/27684520.2026.2685935

Farlie, Francesca, Gorbunova, Anna, Paredes, Omar, Woolley, Thomas

, Alikani, Mina, Cohen, Jacques and Palmer, Giles 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, Louis, Hoessly, Linard and Xia, Panqiu 2026. Identifiability of SDEs for reaction networks. European Journal of Applied Mathematics 10.1017/S0956792526100382

Furukawa, H., Iwata, S., Phillips, T. N.

, Lind, S. J. and Walters, M J. 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, Daniel

and Viana, Joe 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, Jonathan

2026. Galton's bend revisited: Conditions for linearity of E[Y|x]. Sankhya B 10.1007/s13571-026-00415-0

Gyenge, Adam, Koppensteiner, Clemens and Logvinenko, Timothy

2026. The Heisenberg category of a category. Memoirs of the American Mathematical Society 320 , 1633. 10.1090/memo/1633

Hindmarsh, James L. and Lettington, Matthew

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

Kadri, Usama

2026. On acoustic—gravity wave triad resonance over an elastic half-space. Journal of Fluid Mechanics 1037 , A55. 10.1017/jfm.2026.11735

Khidirova, Emiliya and Karakus, Oktay

2026. UniCrop: A universal, multi-source data engineering pipeline for scalable crop yield prediction. Applied Sciences 16 (10) , 4724. 10.3390/app16104724

Knight, Vincent

, Campbell, Owen, Harper, Marc, Gaffney, T. J. and Glynatsi, Nikoleta E. 2026. Reviving, reproducing, and revisiting Axelrod’s second tournament. Communications AI & Computing 1 (1) , 12. 10.1038/s44488-026-00016-w

Kovtun, Anastasiia, Leonenko, Nikolai

and Pepelyshev, Andrey

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, Matthew, Shafiq, Jamal and Wood, Simon

2026. The modular properties of sl (2) torus 1-point functions. Transactions of the American Mathematical Society 10.1090/tran/9722

Lee, Geul, Chen, Jing

and Ryu, Doojin 2026. Effectiveness of domain stabilization: A broader perspective. International Review of Economics & Finance 105 , 104799. 10.1016/j.iref.2025.104799

Leonenko, Nikolai

, Pepelyshev, Andrey

, Pichler, Alois, Pirozzi, Enrica and Meng, Xiangyun 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, Nikolai

and Podlubny, Igor 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, Nikolai N.

and Pepelyshev, Andrey

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

Marletta, Marco

and Semorádová, Iveta 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, Karsten and Winter, Raphael 2026. Improved geometric and recollision estimates for the invariance principle of the random Lorentz gas. Nonlinearity 39 (3) , 035003. 10.1088/1361-6544/ae4602

Mil-Martínez, Alejandra M., Vargas, René O., Gómez-López, Aldo, Escandón, Juan P., Martínez-Suástegui, Lorenzo and Phillips, Timothy

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, Hiromu, Hunziker, Florencia Orosz, Camacho, Ana Ros and Wood, Simon

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, Alžbeta, Pickford, Jasmine, Hall, Jeremy

, van den Bree, Marianne

, Tait, Luke, Wilkinson, Lawrence S.

and Jones, Matt W. 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, Victoria, Sakkilian, Immanuel, Harper, Paul R.

and Gallagher, Jennifer E. 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.O., Izuchukwu, C., Okeke, C.C., Adamu, A. and Umeorah, N.

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, Geraint Ian

, Panayidis, Michalis, Knight, Vincent

and Williams, Elizabeth

2026. Queues under stochastic priority switching. Journal of the Operational Research Society 77 (5) , pp. 1225-1243. 10.1080/01605682.2025.2525939

Poudel, Rabin, Şengül, Yasemin and Mihai, L. Angela

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, Alexander, Griffiths, Ian M., Lau, Zechariah and Kaouri, Katerina

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, Anatolij and Balinsky, Alexander

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, Nithish Kumar, Umeorah, Nneka

and Alochukwu, Alex 2026. Regime-dependent graph neural networks for enhanced volatility prediction in financial markets. Mathematics 14 (2) , 289. 10.3390/math14020289

Sahjwani, Prachi 2026. Stability of Minkowski-type inequalities in certain warped product spaces. Journal of Evolution Equations 26 (4) , 100. 10.1007/s00028-026-01244-4

Singla, Komal and Leonenko, Nikolai

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

Williams, Byron, Abdolali, Ali and Kadri, Usama 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, Elin H., Gartner, Daniel

, Harper, Paul R.

and Palmer-Liyu, Geraint I.

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, Elin H., Harper, Paul R.

, Palmer, Geraint I.

and Gartner, Daniel

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, Elizabeth

, Brice, Syaribah, Gartner, Daniel

, Harper, Paul

, Kumar, Maneesh

and Byrne, Anthony 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, Elizabeth

, Gartner, Daniel

and Harper, Paul

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, Thomas

2026. Mind the gap: A solution to the robustness problem of Turing patterns through patterning mode isolation. AppliedMath 6 (1) , 3.

Woolley, Thomas

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, Thomas

and Klika, Vaclav 2026. Role of dimension and geometry: non-uniqueness in the pseudo-one-dimensional limit for Turing patterns on parallelograms. European Journal of Applied Mathematics
Item availability restricted.

Yang, Xinhui, Chen, Jing

, Ryu, Doojin and Zhang, Jie 2026. Heterogeneous agent-based model, artificial stock market, and secondary priority rules. Expert Systems with Applications 314 , 131454. 10.1016/j.eswa.2026.131454

Yim, Ka Man

and Djima, Karamatou Yacoubou 2026. Power spectrum signatures of graphs. Applied and Computational Harmonic Analysis 85 , 101893. 10.1016/j.acha.2026.101893

Zhang, Yiyi, He, He, Guo, Qian and Chen, Jing

2026. Firm size and momentum returns: the roles of analyst coverage and herding behavior. Financial Markets, Institutions & Instruments 10.1111/fmii.70011

Zuccoli, Emanuele and Kadri, Usama

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, Alexandra, Hutchings, Matthew and Gauthier, Bertrand

2026. Rescaling and asymptotic acceleration in unconstrained quadratic optimisation. La Matematica 5 (2) , 43. 10.1007/s44007-026-00212-1

Book - edited

Gagarin, Andrei

, Behrend, Roger

, Lettington, Matthew

and Aliev, Iskander

, eds. 2026. Surveys in combinatorics 2026. Cambridge: Cambridge University Press. 10.1017/9781009766012

Book Section

Thompson, Jonathan 2026. Genetic algorithms. Kulkarni, Anand J., Mezura-Montes, Efren and Bonakdari, Hossein, eds. Encyclopedia of Engineering Optimization and Heuristics, Singapore: Springer, (10.1007/978-981-96-8165-5_236-1)

Thompson, Jonathan 2026. Integer programming. Kulkarni, Anand J., Mezura-Montes, Efren and Bonakdari, Hossein, eds. Encyclopedia of Engineering Optimization and Heuristics, Springer Nature Singapore, (10.1007/978-981-96-8165-5_207-1)

Thompson, Jonathan 2026. Memetic algorithms. Kulkarni, Anand J., Mezura-Montes, Efren and Bonakdari, Hossein, eds. Encyclopedia of Engineering Optimization and Heuristics, Springer Nature Singapore, (10.1007/978-981-96-8165-5_238-1)

Conference or Workshop Item - published

Barter, Toby, Gao, Zheng, Christodoulaki, Eva, Chen, Maggie

and Cartlidge, John 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

Dragoni, Federica

2026. Semiconcavity, viscosity solutions and the square distance in Carnot groups. Presented at: 2024 GAP Center Summer School, Ghent, November 2024. Published in: Chatzakou, Marianna, Ruzhansky, Michael and Van Bockstal, Karel eds. Direct and Inverse Problems with Applications: Extended Abstracts of the 2024 GAP Center Summer School. Trends in Mathematics (12) Birkhäuser Cham, pp. 49-56. 10.1007/978-3-031-98645-1_5

Hambly, Daniel, Lewis, Rhyd

and Corcoran, Padraig

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, Martin S. and Pillay, Nelishia eds. Evolutionary Computation in Combinatorial Optimization. Lecture Notes in Computer Science , vol.16522 Cham: Springer Nature Switzerland, pp. 68-84. 10.1007/978-3-032-20537-7_5

Williams, Elizabeth

, Gartner, Daniel

, Harper, Paul

, Long, Sara and Kalamakidou, Anna 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., Djanatliev, A., Fakhimi, M., Krejci, C., Ruiz Martin, C., Onggo, B. S. and Mustafee, N. eds. Proceedings of 2026 Winter Simulation Conference.
Item availability restricted.

Online Content

Lewis, Rhydian

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-...

Short Communication

Gartner, Daniel

, Chatterjee, Samir, Fruhling, Ann and Tako, Antuela 2026. What is a Health Systems paper? [Editorial]. Health Systems 10.1080/20476965.2026.2701182

John, Ollie, Ahuja, Alka, Gartner, Daniel

and Mills, Shane 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

Mihai, L. Angela

and Modes, Carl 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

Warrell, Daniel, Kalathara, Mathew, Gartner, Daniel

, Hendry, Joseph, Oh, Ke and Nageswaran, Haritharan 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

Wray, Naomi R. and Owen, Michael J.

2026. Psychiatric nosology should include genetic syndromes [Commentary]. Biological Psychiatry 99 (7) , pp. 508-510. 10.1016/j.biopsych.2026.01.008

Thesis

Kovtun, Anastasiia 2026. Dickman type stochastic processes with short- and long-range dependence. PhD Thesis, Cardiff University.

Item availability restricted.

Richards, Bryony 2026. The enumeration of certain classes of alternating sign matrices. PhD Thesis, Cardiff University.

Item availability restricted.

Sciortino, Monique 2026. An algorithmic framework for school bus routing with stop selection and on-time reliability. PhD Thesis, Cardiff University.

Item availability restricted.

Wu, Fan

2026. Network-based approaches in modelling financial contagion. PhD Thesis, Cardiff University.

Item availability restricted.

Working paper

Aliev, Iskander

, Averkov, Gennadiy, Jones, William and Oertel, Timm 2026. Optimal proximity bound and product function estimates in integer linear programming. ArXiv Cornell University Press. 10.48550/arXiv.2606.13579

Binnie, James A. D.

, Sumray, Otto and Yim, Ka Man 2026. The chordal distance transform of geometric loops and its persistent homology. Cornell University. 10.48550/arXiv.2603.17125

Lewis, Rhydian

2026. Graph colouring: a visual tour. 2602.1 Cornell University. 10.48550/arXiv.2602.18246

Pennig, Ulrich

and Tridimas, George 2026. Infinite loop spaces and group actions on strongly self-absorbing C*-algebras. arXiv 10.48550/arXiv.2607.20105

This list was generated on Wed Sep 23 06:19:02 2026 BST.