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Professor Alexander Belton CMath, CSci, FIMA, SFHEA

Visiting Professor

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  1. Journal article
  2. 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

  3. 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

  4. 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

  5. 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

  6. Doctoral Thesis
  7. Published

    A matrix formulation of quantum stochastic calculus

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

    Research output: Thesis › Doctoral Thesis

  8. Conference contribution/Paper
  9. Published

    Schur polynomials and matrix positivity preservers

    Belton, A., Guillot, D., Khare, A. & Putinar, M., 25/05/2016, Proceedings of the 28th International Conference on Formal Power Series and Algebraic Combinatorics: FPSAC 2016 Vancouver, Canada. DMTCS Proceedings, p. 155-166 12 p.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review

  10. Chapter
  11. Published

    Introduction to classical and quantum Markov semigroups

    Belton, A., 2019, Open Quantum Systems: A Mathematical Perspective. Bahns, D., Pohl, A. & Witt, I. (eds.). Cham: Birkhauser, p. 1-54 54 p. (Tutorials, Schools, and Workshops in the Mathematical Sciences).

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

  12. 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

  13. 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

  14. 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

  15. 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

  16. Chapter (peer-reviewed)
  17. 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/ISSN › Chapter (peer-reviewed) › peer-review

  18. 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/ISSN › Chapter (peer-reviewed) › peer-review

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