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Research

Professor Alexander Belton CMath, CSci, FIMA, SFHEA

Visiting Professor

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  1. Working paper
  2. Published

    Moment-sequence transforms

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

    Research output: Working paper

  3. Published

    The convergence of unitary quantum random walks

    Belton, A. C. R., Gnacik, M. & Lindsay, J. M., 25/04/2014, 13 p.

    Research output: Working paper

  4. Published

    On stopping Fock-space processes

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

    Research output: Working paper

  5. Editorial
  6. Published

    Preface

    Belton, A. & Franz, U., 31/12/2022, In: Infinite Dimensional Analysis, Quantum Probability and Related Topics. 25, 4, 2 p., 2202001.

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

  7. Comment/debate
  8. 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

  9. Journal article
  10. Published

    Totally positive kernels, Pólya frequency functions, and their transforms

    Belton, A., Guillot, D., Khare, A. & Putinar, M., 30/09/2023, In: Journal d'Analyse Mathématique. 150, 1, p. 83-158 76 p.

    Research output: Contribution to Journal/Magazine › Journal article › 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

    Matrix compression along isogenic blocks

    Belton, A., Guillot, D., Khare, A. & Putinar, M., 31/08/2022, In: Acta Scientiarum Mathematicarum. 88, 1-2, p. 417-448 32 p.

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

  13. 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

  14. 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

  15. Published

    Simultaneous kernels of matrix Hadamard powers

    Belton, A., Guillot, D., Khare, A. & Putinar, M., 1/09/2019, In: Linear Algebra and its Applications. 576, p. 142-157 16 p.

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

  16. Published

    Quasifree Stochastic Cocycles and Quantum Random Walks

    Belton, A. C. R., Gnacik, M., Lindsay, J. M. & Zhong, P., 15/07/2019, In: Journal of Statistical Physics. 176, 1, p. 1-39 39 p.

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

  17. 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

  18. Published

    Strong convergence of quantum random walks via semigroup decomposition

    Belton, A. C. R., Gnacik, M. & Lindsay, J. M., 06/2018, In: Annales Henri Poincaré. 19, 6, p. 1711-1746 36 p.

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

  19. Published

    The cocycle identity holds under stopping

    Belton, A. C. R. & Sinha, K. B., 1/09/2017, In: The Quarterly Journal of Mathematics. 68, 3, p. 817-830 14 p.

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

  20. 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

  21. 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

  22. 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

  23. 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

  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

    Stopping the CCR flow and its isometric cocycles

    Belton, A. C. R. & Sinha, K. B., 2014, In: The Quarterly Journal of Mathematics. 65, 4, p. 1145-1164 20 p.

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

  26. 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

  27. 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

  28. 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

  29. 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

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