Professor Martin Lindsay

Professor

Research Interests

  • Noncommutative probability
  • Functional analysis

The convergence of unitary quantum random walks
Belton, A.C.R., Gnacik, M., Lindsay, J.M. 25/04/2014 , 13 p.
Working paper

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.
Journal article

Sesquilinear quantum stochastic analysis in Banach space
Lindsay, M., Das, B.K., Tripak, O. 15/01/2014 In: Journal of Mathematical Analysis and Applications. 409, 2, p. 1031-1051. 21 p.
Journal article

Quantum stochastic cocycles and completely bounded semigroups on operator spaces
Lindsay, J.M., Wills, S.J. 2014 In: International Mathematics Research Notices. 2014, 11, p. 3096-3139. 44 p.
Journal article

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.
Journal article

Quantum random walk approximation on locally compact quantum groups
Lindsay, J.M., Skalski, A.G. 1/07/2013 In: Letters in Mathematical Physics. 103, 7, p. 765-775. 11 p.
Journal article

Quantum stochastic convolution cocycles III
Lindsay, J.M., Skalski, A.G. 04/2012 In: Mathematische Annalen. 352, 4, p. 779-804. 26 p.
Journal article

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.
Journal article

Convolution semigroups of states.
Lindsay, M., Skalski, A.G. 02/2011 In: Mathematische Zeitschrift. 267, 1-2, p. 325-339. 15 p.
Journal article

How to differentiate a quantum stochastic cocycle.
Lindsay, J.M. 12/2010 In: Communications on Stochastic Analysis. 4, 4, p. 641-660. 20 p.
Journal article

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.
Journal article

Quantum stochastic convolution cocycles II
Lindsay, J.M., Skalski, A.G. 06/2008 In: Communications in Mathematical Physics. 280, 3, p. 575-610. 36 p.
Journal article

Quantum stochastic operator cocycles via associated semigroups.
Lindsay, J.M., Wills, S.J. 05/2007 In: Mathematical Proceedings of the Cambridge Philosophical Society. 142, 3, p. 533-556. 24 p.
Journal article

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.
Journal article

Quantum stochastic convolution cocycles I.
Lindsay, J.M., Skalski, A.G. 1/06/2005 In: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques. 41, 3, p. 581-604. 24 p.
Journal article

Quantum stochastic calculus with maximal operator domains.
Lindsay, J.M., Attal, S. 1/01/2004 In: Annals of Probability. 32, 1a, p. 488-529. 42 p.
Journal article

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.
Journal article