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  1. 2021
  2. Forthcoming

    SLE scaling limits for a Laplacian random growth model

    Higgs, F., 23/09/2021, (Accepted/In press) In: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques. 28 p.

    Research output: Contribution to journalJournal articlepeer-review

  3. Forthcoming

    Parallelogram Frameworks and Flexible Quasicrystals

    Power, S., 8/08/2021, (Accepted/In press) In: Mathematical Proceedings of the Royal Irish Academy. 24 p.

    Research output: Contribution to journalJournal articlepeer-review

  4. 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 journalJournal articlepeer-review

  5. Published

    On the correspondence between graded-local conformal nets and vertex operator superalgebras with applications

    Gaudio, T., 13/07/2021, Lancaster University. 129 p.

    Research output: ThesisDoctoral Thesis

  6. Published

    Embedded Eigenvalues for operators and Fredholm properties of pencils

    Altaweel, N., 28/06/2021, Lancaster University. 197 p.

    Research output: ThesisDoctoral Thesis

  7. E-pub ahead of print

    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 journalJournal articlepeer-review

  8. Forthcoming

    Crystal flex bases and the RUM spectrum

    Power, S., Kitson, D. & Badri, G., 31/05/2021, (Accepted/In press) In: Proceedings of the Edinburgh Mathematical Society.

    Research output: Contribution to journalJournal articlepeer-review

  9. 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 journalJournal articlepeer-review

  10. 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 journalJournal articlepeer-review

  11. 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 journalJournal articlepeer-review

  12. E-pub ahead of print

    Which graphs are rigid in l_p^d?

    Nixon, A., Kitson, D. & Dewar, S., 13/03/2021, In: Journal of Global Optimization.

    Research output: Contribution to journalJournal articlepeer-review

  13. Forthcoming

    Tau functions for linear systems

    Blower, G. & Newsham, S., 6/03/2021, (Accepted/In press) Operator theory advances and applications: IWOTA Lisbon 2019. Bastos, A., Castro, L. & Karlovich, A. (eds.). Springer Birkhäuser, 27 p. (International Workshop on Operator Theory and Applications).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

  14. Published

    Scaling limits of random growth processes

    Liddle, G., 2021, Lancaster University. 141 p.

    Research output: ThesisDoctoral Thesis

  15. 2020
  16. 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 journalJournal articlepeer-review

  17. Unpublished

    Convexity and transport for isentropic Euler equations on the sphere

    Blower, G., 21/11/2020, (Unpublished) 52 p.

    Research output: Working paper

  18. 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 journalJournal articlepeer-review

  19. 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 journalJournal articlepeer-review

  20. E-pub ahead of print

    A polylogarithmic bound in the nonlinear Roth theorem

    Prendiville, S. & Peluse, S., 13/10/2020, In: International Mathematics Research Notices.

    Research output: Contribution to journalJournal articlepeer-review

  21. Published

    Topics in Cyclic Theory

    Quillen, D. G. & Blower, G., 9/07/2020, Cambridge: Cambridge University Press. 320 p. (London Mathematical Society Student Texts)

    Research output: Book/Report/ProceedingsBook

  22. 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 journalJournal articlepeer-review

  23. Published

    Solving equations in dense Sidon sets

    Prendiville, S., 2/06/2020, In: arXiv. 11 p.

    Research output: Contribution to journalJournal articlepeer-review

  24. 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 journalJournal articlepeer-review

  25. 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 journalJournal articlepeer-review

  26. 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 journalJournal articlepeer-review

  27. 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 journalJournal articlepeer-review

  28. Unpublished

    SLE scaling limits for a Laplacian growth model

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

    Research output: Contribution to journalJournal article

  29. 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 journalJournal articlepeer-review

  30. Published

    Counting monochromatic solutions to diagonal Diophantine equations

    Prendiville, S., 23/03/2020, In: arXiv.

    Research output: Contribution to journalJournal articlepeer-review

  31. Published

    On determinant expansions for Hankel operators

    Blower, G. & Chen, Y., 4/02/2020, In: Concrete Operators. 7, 1, p. 13-44 34 p.

    Research output: Contribution to journalJournal articlepeer-review

  32. 2019
  33. Published

    Classifying evolution algebras of dimensions two and three

    Celorrio, M. E. & Velasco, M. V., 13/12/2019, In: Doklady Mathematics. 7, 12, 25 p., 1236.

    Research output: Contribution to journalJournal articlepeer-review

  34. Published

    More than five-twelfths of the zeros of ζ are on the critical line

    Zeindler, D., Robles, N., Zaharescu, A. & Pratt, K., 6/12/2019, In: Research in the Mathematical Sciences.. 7, 1, 74 p., 2.

    Research output: Contribution to journalJournal articlepeer-review

  35. Published

    Coboundary operators for infinite frameworks

    Kastis, E., Kitson, D. & Power, S., 4/11/2019, In: Mathematical Proceedings of the Royal Irish Academy. 119A, 2, p. 93-110 18 p.

    Research output: Contribution to journalJournal articlepeer-review

  36. Published

    Algebraic spectral synthesis and crystal rigidity

    Kastis, E. M. & Power, S. C., 1/11/2019, In: Journal of Pure and Applied Algebra. 223, 11, p. 4954-4965 12 p.

    Research output: Contribution to journalJournal articlepeer-review

  37. Forthcoming

    Rado's criterion over squares and higher powers

    Chow, S., Lindqvist, S. & Prendiville, S., 24/09/2019, (Accepted/In press) In: Journal of the European Mathematical Society. 0, p. 0-0

    Research output: Contribution to journalJournal articlepeer-review

  38. Published

    Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models

    Carpi, S., Gaudio, T. & Hillier, R., 20/09/2019, In: Journal of Mathematical Physics. 60, 9, 21 p., 093505.

    Research output: Contribution to journalJournal articlepeer-review

  39. Published

    Statistical mechanics of the periodic Benjamin Ono equation

    Blower, G., Brett, C. & Doust, I., 19/09/2019, In: Journal of Mathematical Physics. 60, 9, 25 p., 093302.

    Research output: Contribution to journalJournal articlepeer-review

  40. Published

    Simultaneous kernels of matrix Hadamard powers

    Belton, A., Guillot, D., Khare, A. & Putinar, M., 1/09/2019, In: Linear Algebra and its Applications. 576, p. 142-157 16 p.

    Research output: Contribution to journalJournal articlepeer-review

  41. E-pub ahead of print

    The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces

    Beanland, K., Kania, T. & Laustsen, N. J., 1/09/2019, In: Houston Journal of Mathematics. 45, 2, p. 553-566 13 p.

    Research output: Contribution to journalJournal articlepeer-review

  42. Published

    The basic reproduction number, R_0, in structured populations

    Neal, P. & Theparod, T., 1/09/2019, In: Mathematical Biosciences. 315, 12 p., 108224.

    Research output: Contribution to journalJournal articlepeer-review

  43. Published

    Mixed moments of characteristic polynomials of random unitary matrices

    Bailey, E., Bettin, S., Blower, G., Conrey, J., Prokhorov, A., Rubinstein, M. & Snaith, N., 23/08/2019, In: Journal of Mathematical Physics. 60, 8, 27 p., 083509.

    Research output: Contribution to journalJournal articlepeer-review

  44. Published

    Quasifree Stochastic Cocycles and Quantum Random Walks

    Belton, A. C. R., Gnacik, M., Lindsay, J. M. & Zhong, P., 15/07/2019, In: Journal of Statistical Physics. 176, 1, p. 1-39 39 p.

    Research output: Contribution to journalJournal articlepeer-review

  45. Published

    Quantum stochastic Lie-Trotter product formula II

    Lindsay, J. M., 1/06/2019, In: International Mathematics Research Notices. 2019, 12, p. 3901–3939 39 p.

    Research output: Contribution to journalJournal articlepeer-review

  46. Published

    The rigidity of a partially triangulated torus

    Cruickshank, J., Kitson, D. & Power, S. C., 1/05/2019, In: Proceedings of the London Mathematical Society. 118, 5, p. 1277-1304 31 p.

    Research output: Contribution to journalJournal articlepeer-review

  47. Published

    Quantitative bounds in the non-linear Roth theorem

    Peluse, S. & Prendiville, S., 6/03/2019, In: arXiv.

    Research output: Contribution to journalJournal articlepeer-review

  48. Unpublished

    Statistical mechanics of the periodic Benjamin Ono equation

    Blower, G., Doust, I. & Brett, C., 24/01/2019, (Unpublished) 34 p.

    Research output: Working paper

  49. Published

    On determinant expansions of Hankel operators

    Blower, G. & Chen, Y., 17/01/2019, Arxiv, 37 p.

    Research output: Working paper

  50. Published

    Mixed moments of characteristic polynomials of random unitary matrices

    Bailey, E., Bettin, S., Blower, G., Conrey, B., Prokhorov, A., Rubinstein, M. & Snaith, N., 12/01/2019, 30 p.

    Research output: Working paper

  51. Published

    Algebras of operators on Banach spaces, and homomorphisms thereof

    Horvath, B., 2019, Lancaster University. 166 p.

    Research output: ThesisDoctoral Thesis

  52. 2018
  53. Published

    Factorization of the identity through operators with large diagonal

    Laustsen, N. J., Lechner, R. & Mueller, P., 1/12/2018, In: Journal of Functional Analysis. 275, 11, p. 3169-3207 39 p.

    Research output: Contribution to journalJournal articlepeer-review

  54. Published

    Dynamic stochastic block models: Parameter estimation and detection of changes in community structure

    Ludkin, M., Neal, P. J. & Eckley, I. A., 11/2018, In: Statistics and Computing. 28, 6, p. 1201-1213 13 p.

    Research output: Contribution to journalJournal articlepeer-review

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