Zobrazeno 1 - 10
of 52
pro vyhledávání: '"J Martin Lindsay"'
Autor:
J Martin Lindsay, S Attal
Lecture notes from a Summer School on Quantum Probability held at the University of Grenoble are collected in these two volumes of the QP-PQ series. The articles have been refereed and extensively revised for publication. It is hoped that both curren
Autor:
R L Hudson, J Martin Lindsay
Much has changed in the world of quantum probability since the publication of the last volume in this series. Giants in the field, such as P-A Meyer, K R Parthasarathy and W von Waldenfels, have reached the age of retirement. Readers will, however, b
Autor:
Stephen J. Wills, J. Martin Lindsay
Quantum stochastic cocycles provide a basic model for time-homogeneous Markovian evolutions in a quantum setting, and a direct counterpart in continuous time to quantum random walks, in both the Schrodinger and Heisenberg pictures. This paper is a se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8b2e3563368ae74e9ac5abae4d104e7
https://hdl.handle.net/10468/11215
https://hdl.handle.net/10468/11215
Publikováno v:
Belton, A, Gnacik, M, Lindsay, J M & Zhong, P 2019, ' Quasifree stochastic calculus and quantum random walks ', Journal of Statistical Physics, vol. 176, no. 1, pp. 1-39 . https://doi.org/10.1007/s10955-019-02273-9
The theory of quasifree quantum stochastic calculus for infinite-dimensional noise is developed within the framework of Hudson–Parthasarathy quantum stochastic calculus. The question of uniqueness for the covariance amplitude with respect to which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14e8b8e8937a31fe332d4be7e942d1c8
https://researchportal.port.ac.uk/ws/files/14778831/Quasifree_stochastic_calculus.pdf
https://researchportal.port.ac.uk/ws/files/14778831/Quasifree_stochastic_calculus.pdf
Autor:
J. Martin Lindsay
A natural counterpart to the Lie-Trotter product formula for norm-continuous one-parameter semigroups is proved, for the class of quasicontractive quantum stochastic operator cocycles whose expectation semigroup is norm continuous. Compared to previo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4cdbb39670bb9eb6836c2e8c2377f92
https://doi.org/10.1093/imrn/rnx306
https://doi.org/10.1093/imrn/rnx306
Publikováno v:
Belton, A, Gnacik, M & Lindsay, J M 2018, ' Strong convergence of quantum random walks via semigroup decomposition ', Annales Henri Poincaré, vol. 19, no. 6, pp. 1711–1746 . https://doi.org/10.1007/s00023-018-0676-4
We give a simple and direct treatment of the strong convergence of quantum random walks to quantum stochastic operator cocycles, via the semigroup decomposition of such cocycles. Our approach also delivers convergence of the pointwise product of quan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc204de657a5ceb359f01ab99c2c4af7
https://researchportal.port.ac.uk/portal/en/publications/strong-convergence-of-quantum-random-walks-via-semigroup-decomposition(f2301144-ec62-42a1-b882-8119b5a40e4d).html
https://researchportal.port.ac.uk/portal/en/publications/strong-convergence-of-quantum-random-walks-via-semigroup-decomposition(f2301144-ec62-42a1-b882-8119b5a40e4d).html
We introduce the notion of additive units, or `addits', of a pointed Arveson system, and demonstrate their usefulness through several applications. By a pointed Arveson system we mean a spatial Arveson system with a fixed normalised reference unit. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ac3f656f57a2ffa9b4ec4e0502843bc
https://doi.org/10.1090/tran/7092
https://doi.org/10.1090/tran/7092
Autor:
B. Krishna Das, J. Martin Lindsay
Publikováno v:
Journal of Mathematical Analysis and Applications. 430:465-482
Belton's discrete approximation scheme is extended to Banach-algebra-valued sesquilinear quantum stochastic cocycles, through the dyadic discretisation of time. Approximation results for Markov-regular quantum stochastic mapping cocycles are recovere
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::17082149ccad7483bdc4ba9518314ec7
https://doi.org/10.1016/j.jmaa.2015.02.039
https://doi.org/10.1016/j.jmaa.2015.02.039
Publikováno v:
Journal of Mathematical Analysis and Applications. 409:1032-1051
A theory of quantum stochastic processes in Banach space is initiated. The processes considered here consist of Banach space valued sesquilinear maps. We establish an existence and uniqueness theorem for quantum stochastic differential equations in B
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::595e1c99fffe1489e0419fbf7702ff8b
https://doi.org/10.1016/j.jmaa.2013.01.067
https://doi.org/10.1016/j.jmaa.2013.01.067
Publikováno v:
Journal of the London Mathematical Society. 89:275-300
We develop fully noncommutative Feynman-Kac formulae by employing quantum stochastic processes. To this end we establish some theory for perturbing quantum stochastic flows on von Neumann algebras by multiplier cocycles. Multiplier cocycles are const
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5dc5aaac2bb3ce1c10b457f370c18196
https://doi.org/10.1112/jlms/jdt048
https://doi.org/10.1112/jlms/jdt048