Items where Author is "Belton, Alexander C. R."
Journal Article
Belton, Alexander C. R. and Sinha, Kalyan B. (2017) The cocycle identity holds under stopping. The Quarterly Journal of Mathematics, 68 (3). pp. 817-830. ISSN 0033-5606
Belton, Alexander C. R. and Wills, Stephen J. (2015) An algebraic construction of quantum flows with unbounded generators. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 51 (1). pp. 349-375. ISSN 0246-0203
Belton, Alexander C. R. and Lindsay, J. Martin and Skalski, Adam G. (2014) Quantum Feynman-Kac perturbations. Journal of the London Mathematical Society, 89 (1). pp. 275-300. ISSN 0024-6107
Belton, Alexander C. R. (2014) Quantum random walks with general particle states. Communications in Mathematical Physics, 328 (2). pp. 573-596. ISSN 0010-3616
Belton, Alexander C. R. and Sinha, Kalyan B. (2014) Stopping the CCR flow and its isometric cocycles. The Quarterly Journal of Mathematics, 65 (4). pp. 1145-1164. ISSN 0033-5606
Belton, Alexander C. R. and Lindsay, J. Martin and Skalski, Adam (2012) A vacuum-adapted approach to quantum Feynman-Kac formulae. Communications on Stochastic Analysis, 6 (1). pp. 95-109. ISSN 0973-9599
Belton, Alexander C. R. (2010) Quantum random walks and thermalisation. Communications in Mathematical Physics, 300 (2). pp. 317-329. ISSN 0010-3616
Belton, Alexander C. R. (2010) Random-walk approximation to vacuum cocycles. Journal of the London Mathematical Society, 81 (2). pp. 412-434. ISSN 0024-6107
Belton, Alexander C. R. (2008) On the path structure of a semimartingale arising from monotone probability theory. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 44 (2). pp. 258-279. ISSN 0246-0203
Belton, Alexander C. R. and Attal, Stéphane (2007) The chaotic-representation property for a class of normal martingales. Probability Theory and Related Fields, 139 (3-4). pp. 543-562. ISSN 0178-8051
Belton, Alexander C. R. (2006) Some self-adjoint quantum semimartingales. Proceedings of the London Mathematical Society, 92 (3). pp. 791-816. ISSN 1460-244X
Belton, Alexander C. R. (2004) An isomorphism of quantum semimartingale algebras. The Quarterly Journal of Mathematics, 55 (2). pp. 135-165. ISSN 0033-5606
Belton, Alexander C. R. (2001) Quantum Ω-semimartingales and stochastic evolutions. Journal of Functional Analysis, 187 (1). pp. 94-109. ISSN 0022-1236
Contribution in Book/Report/Proceedings
Belton, Alexander C. R. (2007) Alicki-Fannes and Hudson-Parthasarathy evolution equations. In: Quantum Probability and Infinite Dimensional Analysis XX :. World Scientific, Singapore, pp. 128-133. ISBN 978-981-270-851-9
Belton, Alexander C. R. (2006) The monotone Poisson process. In: Quantum Probability :. Banach Center Publications (73). Polish Academy of Sciences, Warsaw, pp. 99-115.
Belton, Alexander C. R. (2005) A note on vacuum-adapted semimartingales and monotone independence. In: Quantum Probability and Infinite Dimensional Analysis XVIII :. World Scientific, Singapore, pp. 105-114. ISBN 978-981-256-147-3
Monograph
Belton, Alexander C. R. and Gnacik, Michal and Lindsay, J. Martin (2014) The convergence of unitary quantum random walks. Working Paper. UNSPECIFIED.
Belton, Alexander C. R. (2013) On stopping Fock-space processes. Working Paper. UNSPECIFIED.
Thesis
Belton, Alexander C. R. (1998) A matrix formulation of quantum stochastic calculus. PhD thesis, University of Oxford.