Home > Research > Researchers > Professor Alexander Belton > Publications

Research

Professor Alexander Belton CMath, CSci, FIMA, SFHEA

Visiting Professor

1 - 25 out of 37Page size: 25
RSS feed of this list
Sort by: Title
  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

  11. Published

    Hirschman-Widder densities

    Belton, A., Guillot, D., Khare, A. & Putinar, M., 30/09/2022, In: Applied and Computational Harmonic Analysis. 60, p. 396-425 30 p.

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

  12. 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

  13. Forthcoming

    Matrix compression along isogenic blocks

    Belton, A., Guillot, D., Khare, A. & Putinar, M., 18/03/2022, (Accepted/In press) In: Acta Scientiarum Mathematicarum. 30 p.

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

  14. Published

    Matrix positivity preservers in fixed dimension

    Belton, A., Guillot, D., Khare, A. & Putinar, M., 02/2016, In: Comptes Rendus Mathématique. 354, 2, p. 143-148 6 p.

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

  15. Published

    Matrix positivity preservers in fixed dimension. I

    Belton, A., Guillot, D., Khare, A. & Putinar, M., 6/08/2016, In: Advances in Mathematics. 298, p. 325-368 44 p.

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

  16. Published

    Moment-sequence transforms

    Belton, A., Guillot, D., Khare, A. & Putinar, M., 27/10/2016, Arxiv, 33 p.

    Research output: Working paper

  17. Published

    Moment-sequence transforms

    Belton, A., Guillot, D., Khare, A. & Putinar, M., 31/05/2022, In: Journal of the European Mathematical Society. 24, 9, p. 3109–3160 52 p.

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

  18. Published

    On stopping Fock-space processes

    Belton, A. C. R., 20/11/2013, 40 p.

    Research output: Working paper

  19. Published

    On stopping Fock-space processes

    Belton, A. C. R., 03/2019, In: Journal of Theoretical Probability. 32, 1, p. 484-526 43 p.

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

  20. 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

  21. Published

    Preservers of totally positive kernels and Pólya frequency functions

    Belton, A., Guillot, D., Khare, A. & Putinar, M., 26/07/2022, In: Mathematics Research Reports. 3, p. 35-56 22 p.

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

  22. Published

    Quantum Feynman-Kac perturbations

    Belton, A. C. R., Lindsay, J. M. & Skalski, A. G., 02/2014, In: Journal of the London Mathematical Society. 89, 1, p. 275-300 26 p.

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

  23. Published

    Quantum random walks and thermalisation

    Belton, A. C. R., 12/2010, In: Communications in Mathematical Physics. 300, 2, p. 317-329 13 p.

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

  24. Published

    Quantum random walks with general particle states

    Belton, A. C. R., 2014, In: Communications in Mathematical Physics. 328, 2, p. 573-596 24 p.

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

  25. 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

Previous 1 2 Next

Back to top