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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: ThesisDoctoral 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/ISSNChapter

  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/ISSNChapter (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/ISSNChapter (peer-reviewed)peer-review

  5. Published

    A quantitative probabilistic investigation into the accumulation of rounding errors in numerical ODE solution.

    Mosbach, S. & Turner, A., 04/2009, In: Computers and Mathematics with Applications. 57, 7, p. 1157-1167 11 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  6. Published

    A quantum stochastic Lie-Trotter product formula.

    Lindsay, J. M. & Sinha, K. B., 02/2010, In: Indian Journal of Pure and Applied Mathematics. 41, no. 1, p. 313-325 13 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  7. Published

    A special issue on the Boris V. Gnedenko Centennial

    Afanasyeva, L. G., Korshunov, D. & Shabanov, D., 02/2014, In: Queueing Systems. 76, 2, p. 111-112 2 p.

    Research output: Contribution to Journal/MagazineEditorialpeer-review

  8. 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/MagazineJournal articlepeer-review

  9. Published

    Additive units of product systems

    Bhat, B. V. R., Lindsay, J. M. & Mukherjee, M., 1/04/2018, In: Transactions of the American Mathematical Society. 370, p. 2605-2637 33 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  10. Published

    Aging a little: On the optimality of limited senescence in Escherichia coli

    Blitvic, N. & Fernandez, V., 7/10/2020, In: Journal of Theoretical Biology. 502, 8 p., 110331.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  11. 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/ISSNChapter

  12. 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/MagazineJournal articlepeer-review

  13. Published

    An introduction to heavy-tailed and subexponential distributions

    Foss, S., Korshunov, D. & Zachary, S., 2013, 2nd ed. New York: Springer. 157 p. (Springer Series in Operations Research and Financial Engineering)

    Research output: Book/Report/ProceedingsBook

  14. 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/MagazineJournal articlepeer-review

  15. 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/ISSNChapter

  16. Published

    Asymptotic expansion of Gaussian chaos via probabilistic approach

    Hashorva, E., Korshunov, D. & Piterbarg, V. I., 09/2015, In: Extremes. 18, 3, p. 315-347 33 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  17. Published

    Asymptotic statistics of cycles in surrogate-spatial permutations

    Bogachev, L. V. & Zeindler, D., 02/2015, In: Communications in Mathematical Physics. 334, 1, p. 39-116 78 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  18. Published

    Asymptotics of randomly stopped sums in the presence of heavy tails

    Denisov, D., Foss, S. & Korshunov, D., 2010, In: Bernoulli. 16, 4, p. 971-994 24 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  19. Published

    Bayesian sample sizes for exploratory clinical trials comparing multiple experimental treatments with a control

    Whitehead, J., Cleary, F. & Turner, A., 30/05/2015, In: Statistics in Medicine. 34, 12, p. 2048-2061 14 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  20. Published

    Branching processes with immigration in atypical random environment

    Foss, S., Korshunov, D. & Palmowski, S., 31/03/2022, In: Extremes. 25, 1, p. 55-77 23 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  21. Published

    Central limit theorem for multiplicative class function on the symmetric group

    Zeindler, D., 12/2013, In: Journal of Theoretical Probability. 26, 4, p. 968-996 29 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  22. Published

    Channel coding for high-speed links: A systematic look at code performance and system simulation

    Blitvic, N., Lee, M. & Stojanovic, V., 19/06/2009, In: IEEE Transactions on Advanced Packaging. 32, 2, p. 268-279 12 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  23. Published

    Coexistence in a random growth model with competition

    Turnbull, S. & Turner, A., 27/03/2020, In: Electronic Communications in Probability. 25, p. 1-14 14 p., 26.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  24. Published

    Construction of some quantum stochastic operator cocycles by the semigroup method.

    Lindsay, J. M. & Wills, S. J., 11/2006, In: Proceedings of the Indian Academy of Sciences (Mathematical Sciences). 116, 4 Issu, p. 519-529 11 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  25. Published

    Convergence of Markov processes near saddle fixed points.

    Turner, A. G., 1/03/2007, In: Annals of Probability. 35, 3, p. 1141-1171 31 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  26. Published

    Convolution semigroups of states.

    Lindsay, M. & Skalski, A. G., 02/2011, In: Mathematische Zeitschrift. 267, 1-2, p. 325-339 15 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  27. Published

    Editorial: Special issue on the workshop ‘Modern Applied Probability’

    Konstantopoulos, T. & Korshunov, D., 31/08/2021, In: Queueing Systems. 98, p. 209-210 2 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  28. Published

    Elementary evolutions in Banach algebra

    Lindsay, J. M. & Das, B. K., 12/2013, In: Journal of the Ramanujan Mathematical Society. 28, 4, p. 483-497 15 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  29. 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/MagazineComment/debatepeer-review

  30. Published

    From Lichen to Lightning: Understanding Random Growth

    Turner, A., 1/05/2019, In: Newsletter of the London Mathematical Society. 482, p. 14-19 6 p.

    Research output: Contribution to Journal/MagazineJournal article

  31. Published

    Growth of Stationary Hastings-Levitov

    Berger, N., Procaccia, E. B. & Turner, A., 31/10/2022, In: Annals of Applied Probability. 32, 5, p. 3331-3330 32 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  32. Published

    Hastings-Levitov aggregation in the small-particle limit

    Norris, J. & Turner, A., 12/2012, In: Communications in Mathematical Physics. 316, 3, p. 809-841 33 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  33. Published

    Homomorphic Feller cocycles on a C*-algebra.

    Lindsay, J. M. & Wills, S. J., 1/08/2003, In: Journal of the London Mathematical Society. 68, 1, p. 255-272 18 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  34. Published

    How to differentiate a quantum stochastic cocycle.

    Lindsay, J. M., 12/2010, In: Communications on Stochastic Analysis. 4, 4, p. 641-660 20 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  35. Published

    How to measure the accuracy of the subexponential approximation for the stationary single server queue

    Korshunov, D., 08/2011, In: Queueing Systems. 68, 3, p. 261-266 6 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  36. 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/ISSNChapter

  37. Unpublished

    Large cycles and a functional central limit theorem for generalized weighted random permutations

    Nikeghbali, A., Storm, J. & Zeindler, D., 2013, (Unpublished) In: arxiv.org.

    Research output: Contribution to Journal/MagazineJournal article

  38. Published

    Local asymptotics for the time of rst return to the origin of transient random walk

    Doney, R. & Korshunov, D., 09/2011, In: Statistics and Probability Letters. 81, 9, p. 1419-1424 6 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  39. Published

    Long cycle of random permutations with polynomially growing cycle weights

    Zeindler, D., 30/07/2021, In: Random Structures and Algorithms . 58, 4, p. 726-739 14 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  40. Published

    Low-complexity pattern-eliminating codes for ISI-limited channels

    Blitvic, N., Zheng, L. & Stojanovic, V., 12/09/2008, ICC 2008 - IEEE International Conference on Communications, Proceedings. IEEE, p. 1214-1219 6 p. 4533273. (IEEE International Conference on Communications).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

  41. Published

    Markov chains on Z +: analysis of stationary measure via harmonic functions approach

    Denisov, D., Korshunov, D. & Wachtel, V., 1/04/2019, In: Queueing Systems. 91, 3-4, p. 265–295 31 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  42. 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/MagazineJournal articlepeer-review

  43. 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/MagazineJournal articlepeer-review

  44. Published

    Moments for stationary Markov chains with asymptotically zero drift

    Korshunov, D., 07/2011, In: Siberian Mathematical Journal. 52, 4, p. 655-664 10 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  45. Published

    Moment-sequence transforms

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

    Research output: Working paper

  46. 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/MagazineJournal articlepeer-review

  47. Published

    More than five-twelfths of the zeros of ζ are on the critical line

    Zeindler, D., Robles, N., Zaharescu, A. & Pratt, K., 6/12/2019, In: Research in the Mathematical Sciences.. 7, 1, 74 p., 2.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  48. Published

    On a Generalized Fibonacci Recurrence

    Blitvic, N. & Fernandez, V., 13/01/2020, In: arXiv.

    Research output: Contribution to Journal/MagazineJournal article

  49. Published

    On a mollifier of the perturbed Riemann zeta-function

    Kühn, P., Robles, N. & Zeindler, D., 05/2017, In: Journal of Number Theory. 174, p. 274-321 48 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  50. Published

    On averages of randomized class functions on the symmetric groups and their asymptotics

    Dehaye, P-O. & Zeindler, D., 2013, In: Annales de L'Institut Fourier. 63, 4, p. 1227-1262 36 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

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