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Mathematical Physics (Maths and Stats)

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  1. Published

    On a Generalized Fibonacci Recurrence

    Blitvic, N. & Fernandez, V., 13/01/2020, In: arXiv.

    Research output: Contribution to Journal/Magazine › Journal article

  2. Published

    Non-Markovian noise that cannot be dynamically decoupled by periodic spin echo pulses

    Burgarth, D., Facchi, P., Fraas, M. & Hillier, R., 10/08/2021, In: SciPost Physics. 11, 15 p., 027.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  3. Published

    Spectral triples and the super-Virasoro algebra

    Carpi, S., Hillier, R., Kawahigashi, Y. & Longo, R., 04/2010, In: Communications in Mathematical Physics. 295, 1, p. 71-97 27 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  4. Published

    Representations of conformal nets, universal C*-algebras and K-theory

    Carpi, S., Conti, R., Hillier, R. & Weiner, M., 05/2013, In: Communications in Mathematical Physics. 320, 1, p. 275-300 26 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  5. Published

    Conformal nets and KK-theory

    Carpi, S., Conti, R. & Hillier, R., 01/2013, In: Annals of Functional Analysis. 4, 1, p. 11-17 7 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  6. Published

    N = 2 superconformal nets

    Carpi, S., Hillier, R., Kawahigashi, Y., Longo, R. & Xu, F., 06/2015, In: Communications in Mathematical Physics. 336, 3, p. 1285-1328 44 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  7. Published

    Superconformal nets and noncommutative geometry

    Carpi, S., Hillier, R. & Longo, R., 2015, In: Journal of Noncommutative Geometry. 9, 2, p. 391-445 55 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  8. Published

    Loop groups and noncommutative geometry

    Carpi, S. & Hillier, R. O., 10/2017, In: Reviews in Mathematical Physics. 29, 9, 42 p., 1750029.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  9. 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 Journal/Magazine › Journal article › peer-review

  10. Published

    Haploid Algebras in C∗ -Tensor Categories and the Schellekens List

    Carpi, S., Gaudio, T., Giorgetti, L. & Hillier, R., 31/08/2023, In: Communications in Mathematical Physics. 402, 1, p. 169-212 44 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  11. Published

    Automorphism groupoids in noncommutative projective geometry

    Cooney, N. & Grabowski, J. E., 15/08/2022, In: Journal of Algebra. 604, p. 296-323 28 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  12. Published

    Slices of groupoids are group-like

    Cooney, N. & Grabowski, J., 7/02/2020, In: arxiv.org. 7 p.

    Research output: Contribution to Journal/Magazine › Journal article

  13. Published

    Quantum random walk approximation in Banach algebra

    Das, B. K. & Lindsay, J. M., 1/10/2015, In: Journal of Mathematical Analysis and Applications. 430, 1, p. 465-482 18 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  14. Published

    The local structure of the set of zero mode producing magnetic potentials.

    Elton, D. M., 08/2002, In: Communications in Mathematical Physics. 229, 1, p. 121-139 19 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  15. Published

    Fredholm properties of elliptic operators on R.

    Elton, D. M., 1/12/2001, In: Dissertationes Mathematicae (Rozprawy Matematyczne). 399, p. 1-72 72 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  16. Published

    The Bethe-Sommerfeld conjecture for the 3-Dimensional periodic Landau operator.

    Elton, D. M., 1/11/2004, In: Reviews in Mathematical Physics. 16, 10, p. 1259-1290 32 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  17. Published

    Spectral properties of the equation (' + ieA) ' u = '?

    Elton, D. M., 1/10/2001, In: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 131, 5, p. 1065-1089 25 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  18. Published

    Eigenvalue counting estimates for a class of linear spectral pencils with applications to zero modes

    Elton, D. & Ta, T. N., 15/07/2012, In: Journal of Mathematical Analysis and Applications. 391, 2, p. 613-618 6 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  19. Published

    Eigenvalues of a one-dimensional Dirac operator pencil

    Elton, D., Levitin, M. & Polterovich, I., 12/2014, In: Annales Henri Poincaré. 15, 12, p. 2321-2377 57 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  20. Published

    Approximate zero modes for the Pauli operator on a region

    Elton, D., 2016, In: Journal of Spectral Theory. 6, 2, p. 373-413 41 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  21. Published

    Asymptotics for Erdos-Solovej zero modes in strong fields

    Elton, D. M., 10/2016, In: Annales Henri Poincaré. 17, 10, p. 2951-2973 23 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  22. 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/Magazine › Journal article › peer-review

  23. Published

    On the non-existence of zero modes

    Elton, D. M., 1/01/2018, In: Opuscula Mathematica. 38, 4, p. 537-566 20 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  24. E-pub ahead of print

    Problem-driven scenario generation: an analytical approach for stochastic programs with tail risk measure

    Fairbrother, J., Turner, A. & Wallace, S. W., 11/2015, (E-pub ahead of print) In: arxiv.org.

    Research output: Contribution to Journal/Magazine › Journal article

  25. Published

    Scenario generation for single-period portfolio selection problems with tail risk measures: coping with high dimensions and integer variables

    Fairbrother, J., Turner, A. & Wallace, S., 2018, In: INFORMS Journal on Computing. 30, 3, p. 472-491 20 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  26. Published

    Problem-driven scenario generation: an analytical approach for stochastic programs with tail risk measure

    Fairbrother, J., Turner, A. & Wallace, S. W., 31/01/2022, In: Mathematical Programming. 191, 1, p. 141-182 42 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  27. 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: Thesis › Doctoral Thesis

  28. Published

    A triple construction for Lie bialgebras

    Grabowski, J., 2005, In: Pacific Journal of Mathematics. 221, 2, p. 281-301 22 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  29. Published

    On Lie induction and the exceptional series

    Grabowski, J., 2005, In: Journal of Algebra and Its Applications. 4, 6, p. 707-737 30 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  30. Published

    Braided Lie bialgebras associated to Kac-Moody algebras

    Grabowski, J., 2008, In: Journal of Lie Theory. 18, 1, p. 125-140 16 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  31. Published

    Examples of quantum cluster algebras associated to partial flag varieties

    Grabowski, J., 2011, In: Journal of Pure and Applied Algebra. 215, 7, p. 1582-1595 14 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  32. Published

    Quantum cluster algebra structures on quantum Grassmannians and their quantum Schubert cells: the finite-type cases

    Grabowski, J. & Launois, S., 2011, In: International Mathematics Research Notices. 2011, 10, p. 2230-2262 33 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  33. Unpublished

    Inductive constructions for Lie bialgebras and Hopf algebras

    Grabowski, J., 2006, (Unpublished) University of London.

    Research output: Thesis › Doctoral Thesis

  34. Published

    Braided enveloping algebras associated to quantum parabolic subalgebras

    Grabowski, J., 14/10/2011, In: Communications in Algebra. 39, 10, p. 3491-3514 24 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  35. Published

    Cluster algebras of infinite rank

    Grabowski, J., Gratz, S. & Groechenig, M., 04/2014, In: Journal of the London Mathematical Society. 89, 2, p. 337-363 27 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  36. Published

    Graded quantum cluster algebras and an application to quantum Grassmannians

    Grabowski, J. & Launois, S., 2014, In: Proceedings of the London Mathematical Society. 109, 3, p. 697-732 36 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  37. Published

    Graded cluster algebras

    Grabowski, J., 12/2015, In: Journal of Algebraic Combinatorics. 42, 4, p. 1111-1134 24 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  38. Published

    Graded quantum cluster algebras of infinite rank as colimits

    Grabowski, J. E. & Gratz, S., 11/2018, In: Journal of Pure and Applied Algebra. 222, 11, p. 3395-3413 18 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  39. Published

    Graded Frobenius cluster categories

    Grabowski, J. E. & Pressland, M., 1/01/2018, In: Documenta Mathematica. 23, p. 49-76 23 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  40. Published

    Deformed cluster maps of type A_2N

    Grabowski, J., Hone, A. & Kim, W., 28/02/2024, In: arxiv.org. 40 p.

    Research output: Contribution to Journal/Magazine › Journal article

  41. Published

    Super-KMS functionals for graded-local conformal nets

    Hillier, R., 08/2015, In: Annales Henri Poincaré. 16, 8, p. 1899–1936 38 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  42. Published

    Local-entire cyclic cocycles for graded quantum field nets

    Hillier, R., 03/2014, In: Letters in Mathematical Physics. 104, 3, p. 271-298 28 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  43. Published

    A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence

    Hillier, R., Arenz, C. & Burgarth, D., 17/04/2015, In: Journal of Physics A: Mathematical and Theoretical. 48, 15, 27 p., 155301.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  44. Published

    Scaling limits of anisotropic Hastings-Levitov clusters.

    Johansson Viklund, F., Sola, A. & Turner, A., 6/02/2012, In: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques. 48, 1, p. 235-257 23 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  45. Published

    Small-particle limits in a regularized Laplacian random growth model

    Johansson Viklund, F., Sola, A. & Turner, A., 1/02/2015, In: Communications in Mathematical Physics. 334, 1, p. 331-366 36 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  46. 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/Magazine › Journal article › peer-review

  47. Published

    Quantum stochastic calculus with maximal operator domains.

    Lindsay, J. M. & Attal, S., 1/01/2004, In: Annals of Probability. 32, 1a, p. 488-529 42 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  48. Published

    Quantum stochastic convolution cocycles I.

    Lindsay, J. M. & Skalski, A. G., 1/06/2005, In: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques. 41, 3, p. 581-604 24 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  49. Published

    Homomorphic Feller cocycles on a C*-algebra.

    Lindsay, J. M. & Wills, S. J., 1/08/2003, In: Journal of the London Mathematical Society. 68, 1, p. 255-272 18 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  50. Published

    Quantum stochastic operator cocycles via associated semigroups.

    Lindsay, J. M. & Wills, S. J., 05/2007, In: Mathematical Proceedings of the Cambridge Philosophical Society. 142, 3, p. 533-556 24 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

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