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  1. Doctoral Thesis
  2. Published

    A category theoretic approach to extensions of Banach algebras

    Menez, C., 2018, Lancaster University. 111 p.

    Research output: ThesisDoctoral Thesis

  3. Published

    Banach algebras on groups and semigroups

    White, J., 2018, Lancaster University. 171 p.

    Research output: ThesisDoctoral Thesis

  4. Published

    Quantum stochastic flows on universal partial isometry matrix C*-algebras

    Hancox, J., 2018, Lancaster University. 142 p.

    Research output: ThesisDoctoral Thesis

  5. Published

    Competition within random growth models

    Turnbull, S., 2018, Lancaster University. 94 p.

    Research output: ThesisDoctoral Thesis

  6. Published

    Non-selfadjoint operator algebras generated by unitary semigroups

    Kastis, E. M., 2017, Lancaster University. 172 p.

    Research output: ThesisDoctoral Thesis

  7. Published

    Quantum Wiener chaos

    Jurczynski, M., 2017, Lancaster University. 173 p.

    Research output: ThesisDoctoral Thesis

  8. Published

    Discontinuous homomorphisms from Banach algebras of operators

    Skillicorn, R., 2016, Lancaster University. 155 p.

    Research output: ThesisDoctoral Thesis

  9. Published

    Problem-driven scenario generation for stochastic programs

    Fairbrother, J., 2016, Lancaster University. 215 p.

    Research output: ThesisDoctoral Thesis

  10. Published

    Network modelling for sexually transmitted diseases

    Theparod, T., 2015, Lancaster University. 187 p.

    Research output: ThesisDoctoral Thesis

  11. Published

    Spectral theory using linear systems and sampling from the spectrum of Hill's equation

    Brett, C., 2015, Lancaster University. 189 p.

    Research output: ThesisDoctoral Thesis

  12. Published

    Rigidity operators and the flexibility of infinite bar-joint frameworks

    Badri, G., 2015, Lancaster University. 246 p.

    Research output: ThesisDoctoral Thesis

  13. Published

    Quantum random walks

    Gnacik, M., 2014, Lancaster: Lancaster University. 166 p.

    Research output: ThesisDoctoral Thesis

  14. Published

    A study of stochastic processes in Banach spaces

    Groves, J. S., 2000, Lancaster University. 103 p.

    Research output: ThesisDoctoral Thesis

  15. Published

    A matrix formulation of quantum stochastic calculus

    Belton, A. C. R., 1998, University of Oxford. 110 p.

    Research output: ThesisDoctoral Thesis

  16. Journal article
  17. Published

    Hasimoto frames and the Gibbs measure of the periodic nonlinear Schrödinger equation

    Blower, G., Khaleghi, A. & Kuchemann-Scales, M., 1/02/2024, In: Journal of Mathematical Physics. 65, 2, 022705.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  18. Published

    Equilibrium stresses and rigidity for infinite tensegrities and frameworks

    Power, S., 1/01/2024, In: Journal of Mathematical Analysis and Applications. 529, 1, 127655.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  19. Published

    An explicit minorant for the amenability constant of the Fourier algebra

    Choi, Y., 30/11/2023, In: International Mathematics Research Notices. 2023, 22, p. 19390–19430

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  20. E-pub ahead of print

    The parabolic algebra revisited

    Kastis, E. & Power, S., 9/10/2023, (E-pub ahead of print) In: Israel Journal of Mathematics. 20 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  21. Published

    Linear zero mode spectra for quasicrystals

    Power, S., 15/12/2022, In: Journal of Mathematical Analysis and Applications. 516, 2, 19 p., 126534.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  22. Published

    Approximately multiplicative maps between algebras of bounded operators on Banach spaces

    Choi, Y., Horvath, B. & Laustsen, N., 31/10/2022, In: Transactions of the American Mathematical Society. 375, 10, p. 7121-7147 27 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  23. Published

    Topological inductive constructions for tight surface graphs

    Cruickshank, J., Kitson, D., Power, S. & Shakir, Q., 12/10/2022, In: Graphs and Combinatorics. 38, 31 p., 169.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  24. Published

    Generalised rigid body motions in non-Euclidean planes with applications to global rigidity

    Dewar, S. & Nixon, A., 1/10/2022, In: Journal of Mathematical Analysis and Applications. 514, 1, 31 p., 126259.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  25. Published

    SLE scaling limits for a Laplacian random growth model

    Higgs, F., 31/08/2022, In: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques. 58, 3, p. 1712-1739 28 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  26. Published

    On the existence and evaluation of Stokes phenomena in fluid mechanics

    Alexandrakis, N., 1/07/2022, In: Asymptotic Analysis. 129, 1, p. 113-139 27 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  27. Published

    The Rigidity of Infinite Graphs II

    Kitson, D. & Power, S., 30/06/2022, In: Graphs and Combinatorics. 38, 3, 83.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  28. Published

    Which graphs are rigid in l_p^d?

    Dewar, S., Kitson, D. & Nixon, A., 31/05/2022, In: Journal of Global Optimization. 83, 1, p. 49-71 23 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  29. Published

    A polylogarithmic bound in the nonlinear Roth theorem

    Peluse, S. & Prendiville, S., 30/04/2022, In: International Mathematics Research Notices. 8, p. 5658-5684 27 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  30. Published

    A short proof that B(L_1) is not amenable

    Choi, Y., 31/12/2021, In: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 151, 6, p. 1758-1767 10 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  31. Published

    The first-order flexibility of a crystallographic framework

    Kastis, E. & Power, S., 1/12/2021, In: Journal of Mathematical Analysis and Applications. 504, 1, 16 p., 125404.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  32. E-pub ahead of print

    Crystal flex bases and the RUM spectrum

    Badri, G., Kitson, D. & Power, S., 24/11/2021, (E-pub ahead of print) In: Proceedings of the Edinburgh Mathematical Society. 64, 4, p. 735-761 27 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  33. Published

    Parallelogram Frameworks and Flexible Quasicrystals

    Power, S., 31/08/2021, In: Mathematical Proceedings of the Royal Irish Academy. 121A, 1, p. 9-31 23 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  34. Published

    Classifying the closed ideals of bounded operators on two families of non-separable classical Banach spaces

    Arnott, M. & Laustsen, N., 1/08/2021, In: Journal of Mathematical Analysis and Applications. 500, 1, 10 p., 125105.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  35. Published

    Constructing alternating 2-cocycles on Fourier algebras

    Choi, Y., 16/07/2021, In: Advances in Mathematics. 385, 28 p., 107747.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  36. Published

    Scaling limits and fluctuations for random growth under capacity rescaling

    Liddle, G. & Turner, A., 31/05/2021, In: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques. 57, 2, p. 980-1015 36 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  37. Published

    Dual convolution for the affine group of the real line

    Choi, Y. & Ghandehari, M., 22/05/2021, In: Complex Analysis and Operator Theory. 15, 4, 32 p., 76.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  38. Published

    Symbol functions for symmetric frameworks

    Kastis, E., Kitson, D. & McCarthy, J., 15/05/2021, In: Journal of Mathematical Analysis and Applications. 497, 2, 24 p., 124895.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  39. Published

    Unavoidable subprojections in union-closed set systems of infinite breadth

    Choi, Y., Ghandehari, M. & Pham, H. L., 1/05/2021, In: European Journal of Combinatorics. 94, 17 p., 103311.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  40. Published

    Quantum stochastic cocycles and completely bounded semigroups on operator spaces II

    Lindsay, M. & Wills, S., 15/03/2021, In: Communications in Mathematical Physics. 383, 1, p. 153-199 47 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  41. Published

    Rado's criterion over squares and higher powers

    Chow, S., Lindqvist, S. & Prendiville, S., 16/02/2021, In: Journal of the European Mathematical Society. 23, 6, p. 1925-1997 73 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  42. Published

    Stability of characters and filters for weighted semilattices

    Choi, Y., Ghandehari, M. & Pham, H. L., 11/02/2021, In: Semigroup Forum. 102, 1, p. 86-103 18 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  43. Published

    Rigidity of symmetric frameworks in normed spaces

    Kitson, D., Nixon, A. & Schulze, B., 15/12/2020, In: Linear Algebra and its Applications. 607, p. 231-285 49 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  44. Published

    Graph rigidity for unitarily invariant matrix norms

    Kitson, D. & Levene, R. H., 15/11/2020, In: Journal of Mathematical Analysis and Applications. 491, 2, 30 p., 124353.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  45. Published

    Non-Euclidean braced grids

    Power, S., 31/10/2020, In: Mathematical Proceedings of the Royal Irish Academy. 120A, 2, p. 43-57 15 p., PRIA.2020.120.06.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  46. Published

    Constructing isostatic frameworks for the ℓ1and ℓ-plane

    Clinch, K. & Kitson, D., 12/06/2020, In: The Electronic Journal of Combinatorics . 27, 2, 21 p., P2.49.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  47. Published

    Decay rates at infinity for solutions to periodic Schrödinger equations

    Elton, D. M., 1/06/2020, In: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 150, 3, p. 1113-1126 14 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  48. Published

    Isotopy classes for 3-periodic net embeddings

    Power, S., Baburin, I. & Proserpio, D., 1/05/2020, In: Acta Crystallographica Section A: Foundations and Advances. 76, 3, p. 275-301 27 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  49. Published

    On the Ramsey number of the Brauer configuration

    Prendiville, S. & Chapman, J., 1/04/2020, In: Bulletin of the London Mathematical Society. 52, 2, p. 316-334 19 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  50. Published

    Double-distance frameworks and mixed sparsity graphs

    Nixon, A. & Power, S., 31/03/2020, In: Discrete and Computational Geometry. 63, 2, p. 294-318 25 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  51. Unpublished

    SLE scaling limits for a Laplacian growth model

    Higgs, F., 30/03/2020, (Unpublished) In: arXiv. 38 p.

    Research output: Contribution to Journal/MagazineJournal article

  52. Published

    Coexistence in a random growth model with competition

    Turnbull, S. & Turner, A., 27/03/2020, In: Electronic Communications in Probability. 25, p. 1-14 14 p., 26.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

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