research interests

  • Noncommutative probability
  • Functional analysis

Publications

Preprints

  • A vacuum-adapted approach to quantum Feynman-Kac formulae
    (with Alex Belton and Adam Skalski), Preprint, 2011. pdf
  • Quantum stochastic semigroups and completely bounded semigroups on operator spaces (with Steve Wills), Preprint, 2011. arXiv.
  • On the generators of completely positive Markovian cocycles (with Steve Wills),
    Preprint, 2011. pdf
  • Suslin and non-Suslin subrings of R – solution of the Erdos ring problem (with Sergey Utev),
    Preprint, 2002. pdf. ps

Since 2006

  • Quantum stochastic convolution cocycles III (with Adam Skalski),
    Mathematische Annalen (2011). MA. Article. arXiv.
  • Convolution semigroups of states (with Adam Skalski),
    Mathematische Zeitschrift 267 (2011), no. 1-2, 325–339. MZ. Article. arXiv.
  • How to differentiate a quantum stochastic cocycle.
    Communications on Stochastic Analysis 4 (2010), no. 4, 641–660. Article. Dedication.
  • A quantum stochastic Lie-Trotter product formula (with Kalyan Sinha),
    Indian Journal of Pure and Applied Mathematics 41 (2010), no. 1, 313–325. IJPAM. Article.
  • Quantum stochastic convolution cocycles II (with Adam Skalski),
    Communications in Mathematical Physics 280 (2008), no. 3, 575–610. CMP. Article.
  • Quantum stochastic operator cocycles via associated semigroups (with Stephen Wills),
    Mathematical Proceedings of the Cambridge Philosophical Society 142 (2007), no. 3, 535–556. MPCPS. arXiv.
  • On quantum stochastic differential equations (with Adam Skalski),
    Journal of Mathematical Analysis and Applications 330 (2007), no. 2, 1093–1114. JMAA. Article.
  • Quantum stochastic convolution cocycles- algebraic and C*-algebraic (with Adam Skalski),
    ``Quantum Probability,'' Banach Center Publications, (Institute of Mathematics, Polish Academy of Sciences), 73 (2006), 313–324. BCP.
  • Construction of some quantum stochastic operator cocycles by the semigroup method
    (with Stephen Wills), Proceedings of the Indian Academy of Sciences (Mathematical Sciences),
    116 (2006), no. 4, 519–529. PIAS. Article.
  • Regular quantum stochastic cocycles have exponential product systems (with Rajarama Bhat), Quantum Probability and Infinite Dimensional Analysis, QP–PQ 18,
    World Scientific, Singapore (2005), 126–140.
  • Quantum stochastic convolution cocycles I (with Adam Skalski),
    Annales de l'Institut Henri poincare (B) Probability and Statistics, 41 (2005), no. 3, 581–604. AIHP.

Pre-2005

  • Most of my pre-2005 are listed at MR, and/or Zbl.

Books

Quantum Independent Increment Processes I
  • Quantum Independent Increment Processes I
    (with D. Applebaum, B.V. Rajarama Bhat and J. Kustermans)
    Lecture Notes in Mathematics 1865, Springer, 2005.
    SLNM. MR
Quantum Probability Communications, QP-PQ XI, XII
  • Quantum Probability Communications, QP-PQ XI, XII (edited, with S. Attal) World Scientific, 2003. QPC XI: MR Zbl XII: MR Zbl.
Quantum Probability Communications, QP-PQ X
  • Quantum Probability Communications, QP-PQ X (edited, with R.L. Hudson) World Scientific, 1998. QPC MR Zbl

Reviews