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Mathematical Physics (Maths and Stats)

  1. Published

    A class of spherical and elliptical distributions with Gaussian-like limit properties

    Sherlock, C. & Elton, D., 2012, In: International Journal of Statistics and Probability. 2012, 17 p., 467187.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  2. 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/MagazineJournal articlepeer-review

  3. Published

    A matrix formulation of quantum stochastic calculus

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

    Research output: ThesisDoctoral Thesis

  4. Published

    A note on vacuum-adapted semimartingales and monotone independence

    Belton, A. C. R., 01/2005, Quantum Probability and Infinite Dimensional Analysis XVIII. Schuermann, M. & Franz, U. (eds.). Singapore: World Scientific, p. 105-114 10 p.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter

  5. Published

    A panorama of positivity. I: dimension free

    Belton, A., Guillot, D., Khare, A. & Putinar, M., 31/05/2019, Analysis of Operators on Function Spaces: The Serguei Shimorin Memorial Volume. Aleman, A., Hedenmalm, H., Khavinson, D. & Putinar, M. (eds.). Cham: Birkhauser, p. 117-165 49 p. (Trends in Mathematics).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter (peer-reviewed)peer-review

  6. Published

    A panorama of positivity. II: fixed dimension

    Belton, A., Guillot, D., Khare, A. & Putinar, M., 31/03/2020, Complex Analysis and Spectral Theory. Dales, H. G., Khavinson, D. & Mashreghi, J. (eds.). Providence, RI: American Mathematical Society, p. 109-150 42 p. (Contemporary Mathematics; vol. 743).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter (peer-reviewed)peer-review

  7. Published

    A quantitative probabilistic investigation into the accumulation of rounding errors in numerical ODE solution.

    Mosbach, S. & Turner, A., 04/2009, In: Computers and Mathematics with Applications. 57, 7, p. 1157-1167 11 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  8. Published

    A quantum analogue of the dihedral action on Grassmannians

    Allman, J. M. & Grabowski, J., 06/2012, In: Journal of Algebra. 359, 1, p. 49-68 20 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  9. Published

    A quantum stochastic Lie-Trotter product formula.

    Lindsay, J. M. & Sinha, K. B., 02/2010, In: Indian Journal of Pure and Applied Mathematics. 41, no. 1, p. 313-325 13 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  10. 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/MagazineJournal articlepeer-review

  11. Published

    A vacuum-adapted approach to quantum Feynman-Kac formulae

    Belton, A. C. R., Lindsay, J. M. & Skalski, A., 03/2012, In: Communications on Stochastic Analysis. 6, 1, p. 95-109 15 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  12. Published

    Additive units of product systems

    Bhat, B. V. R., Lindsay, J. M. & Mukherjee, M., 1/04/2018, In: Transactions of the American Mathematical Society. 370, p. 2605-2637 33 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  13. Published

    Aging a little: On the optimality of limited senescence in Escherichia coli

    Blitvic, N. & Fernandez, V., 7/10/2020, In: Journal of Theoretical Biology. 502, 8 p., 110331.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  14. Published

    Alicki-Fannes and Hudson-Parthasarathy evolution equations

    Belton, A. C. R., 07/2007, Quantum Probability and Infinite Dimensional Analysis XX. Accardi, L., Freudenberg, W. & Schuermann, M. (eds.). Singapore: World Scientific, p. 128-133 6 p.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter

  15. Published

    An algebraic construction of quantum flows with unbounded generators

    Belton, A. C. R. & Wills, S. J., 2015, In: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques. 51, 1, p. 349-375 27 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  16. Published

    An isomorphism of quantum semimartingale algebras

    Belton, A. C. R., 06/2004, In: The Quarterly Journal of Mathematics. 55, 2, p. 135-165 31 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  17. 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/MagazineJournal articlepeer-review

  18. Published

    Approximation via toy Fock space - the vacuum-adapted viewpoint

    Belton, A. C. R., 09/2008, Quantum Stochastics and Information. Belavkin, V. P. & Guţă, M. (eds.). Singapore: World Scientific, p. 3-22 20 p.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter

  19. 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/MagazineJournal articlepeer-review

  20. 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/MagazineJournal articlepeer-review

  21. Published

    Bayesian sample sizes for exploratory clinical trials comparing multiple experimental treatments with a control

    Whitehead, J., Cleary, F. & Turner, A., 30/05/2015, In: Statistics in Medicine. 34, 12, p. 2048-2061 14 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  22. 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/MagazineJournal articlepeer-review

  23. 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/MagazineJournal articlepeer-review

  24. Published

    Channel coding for high-speed links: A systematic look at code performance and system simulation

    Blitvic, N., Lee, M. & Stojanovic, V., 19/06/2009, In: IEEE Transactions on Advanced Packaging. 32, 2, p. 268-279 12 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  25. 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/MagazineJournal articlepeer-review

  26. 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/MagazineJournal articlepeer-review

  27. 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

  28. 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/MagazineJournal articlepeer-review

  29. Published

    Construction of some quantum stochastic operator cocycles by the semigroup method.

    Lindsay, J. M. & Wills, S. J., 11/2006, In: Proceedings of the Indian Academy of Sciences (Mathematical Sciences). 116, 4 Issu, p. 519-529 11 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  30. Published

    Convergence of Markov processes near saddle fixed points.

    Turner, A. G., 1/03/2007, In: Annals of Probability. 35, 3, p. 1141-1171 31 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  31. Published

    Convolution semigroups of states.

    Lindsay, M. & Skalski, A. G., 02/2011, In: Mathematische Zeitschrift. 267, 1-2, p. 325-339 15 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  32. 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

  33. 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/MagazineJournal article

  34. Published

    Distinguishing decoherence from alternative quantum theories by dynamical decoupling

    Arenz, C., Hillier, R., Fraas, M. & Burgarth, D., 08/2015, In: Physical review a. 92, 8, 7 p., 022102.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  35. Published

    Dynamical decoupling and homogenization of continuous variable systems

    Arenz, C., Burgarth, D. & Hillier, R. O., 3/03/2017, In: Journal of Physics A: Mathematical and Theoretical. 50, 13, 17 p., 135303.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  36. Published

    Dynamical decoupling of unbounded Hamiltonians

    Arenz, C., Burgarth, D., Facchi, P. & Hillier, R. O., 20/03/2018, In: Journal of Mathematical Physics. 59, 3, 16 p., 032203.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  37. 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/MagazineJournal articlepeer-review

  38. 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/MagazineJournal articlepeer-review

  39. Published

    Elementary evolutions in Banach algebra

    Lindsay, J. M. & Das, B. K., 12/2013, In: Journal of the Ramanujan Mathematical Society. 28, 4, p. 483-497 15 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  40. Published

    Erratum: An isomorphism of quantum semimartingale algebras (Quarterly Journal Mathematics (2004) 55 (135-165) DOI: 10.1093/qmath/hag052)

    Belton, A. C. R., 1/12/2004, In: Quarterly Journal of Mathematics. 55, 4, 1 p.

    Research output: Contribution to Journal/MagazineComment/debatepeer-review

  41. 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/MagazineJournal articlepeer-review

  42. 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/MagazineJournal articlepeer-review

  43. Published

    From Lichen to Lightning: Understanding Random Growth

    Turner, A., 1/05/2019, In: Newsletter of the London Mathematical Society. 482, p. 14-19 6 p.

    Research output: Contribution to Journal/MagazineJournal article

  44. 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/MagazineJournal articlepeer-review

  45. 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/MagazineJournal articlepeer-review

  46. 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/MagazineJournal articlepeer-review

  47. 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/MagazineJournal articlepeer-review

  48. Published

    Growth of Stationary Hastings-Levitov

    Berger, N., Procaccia, E. B. & Turner, A., 31/10/2022, In: Annals of Applied Probability. 32, 5, p. 3331-3330 32 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  49. 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/MagazineJournal articlepeer-review

  50. Published

    Hastings-Levitov aggregation in the small-particle limit

    Norris, J. & Turner, A., 12/2012, In: Communications in Mathematical Physics. 316, 3, p. 809-841 33 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

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