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Research

Professor Alexander Belton CMath, CSci, FIMA, SFHEA

Visiting Professor

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  1. 2010
  2. Published

    Random-walk approximation to vacuum cocycles

    Belton, A. C. R., 04/2010, In: Journal of the London Mathematical Society. 81, 2, p. 412-434 23 p.

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

  3. 2008
  4. 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/ISSN › Chapter

  5. Published

    On the path structure of a semimartingale arising from monotone probability theory

    Belton, A. C. R., 2008, In: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques. 44, 2, p. 258-279 22 p.

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

  6. 2007
  7. Published

    The chaotic-representation property for a class of normal martingales

    Belton, A. C. R. & Attal, S., 1/11/2007, In: Probability Theory and Related Fields. 139, 3-4, p. 543-562 20 p.

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

  8. 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/ISSN › Chapter

  9. 2006
  10. Published

    Some self-adjoint quantum semimartingales

    Belton, A. C. R., 1/05/2006, In: Proceedings of the London Mathematical Society. 92, 3, p. 791-816 26 p.

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

  11. Published

    The monotone Poisson process

    Belton, A. C. R., 2006, Quantum Probability. Bożejko, M., Młotkowski, W. & Wysoczański, J. (eds.). 73 ed. Warsaw: Polish Academy of Sciences, p. 99-115 17 p. (Banach Center Publications).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter

  12. 2005
  13. 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/ISSN › Chapter

  14. 2004
  15. 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/Magazine › Comment/debate › peer-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/Magazine › Journal article › peer-review

  17. 2001
  18. Published

    Quantum Ω-semimartingales and stochastic evolutions

    Belton, A. C. R., 1/12/2001, In: Journal of Functional Analysis. 187, 1, p. 94-109 16 p.

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

  19. 1998
  20. Published

    A matrix formulation of quantum stochastic calculus

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

    Research output: Thesis › Doctoral Thesis

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