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Research

Professor Alexander Belton CMath, CSci, FIMA, SFHEA

Visiting Professor

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  1. Published

    A matrix formulation of quantum stochastic calculus

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

    Research output: Thesis › Doctoral Thesis

  2. 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

  3. 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

  4. 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

  5. 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/Magazine › Journal article › peer-review

  6. 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

  7. 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/Magazine › Journal article › peer-review

  8. 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

  9. 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

  10. 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

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