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Recent Publications Levy processes - from probability theory to finance and quantum groups, Notices of the American Math Soc. 51, 1336-47 (2004) .pdf Levy-type stochastic integrals with regularly varying tails, Stochastic Analysis and its Applications, 23, 1-18 (2005) .pdf Martingale-valued measures, Ornstein-Uhlenbeck processes with jumps and operator self-decomposability in Hilbert space, Seminaire de Probabilites 39 171-97 (2005) .pdf Author's post-publication comment.pdfBrownian motion and Levy processes on locally compact groups, Methods of Functional Analysis and Topology, 12 101-112 (2006).pdf Covariant Mehler semigroups in Hilbert space, Markov Processes and Related Fields 13, 159-69 (2007).pdf Author's post-publication comment.pdf On the infinitesimal generators of Ornstein-Uhlenbeck processes with jumps in Hilbert Space, Potential Analysis 26 79-100 (2007).pdf
A Levy-Cielsielski Expansion for Quantum Brownian Motion and the Construction of Quantum Brownian Bridges, Journal of Applied Analysis, 13, 275-90 (2007) .pdf
Universal Malliavin calculus in Fock and Levy-Ito spaces, Communications on Stochastic Analysis 3, 119-41 (2009) .pdf
Extending Stochastic Resonance for Neuron Models to General Levy Noise, IEEE Transactions on Neural Networks 20, 1993-6 (2009) .pdf
Probability on Compact Lie Groups, in International Encyclopedia of Statistical Sciences 1121-23 (2011).pdf Author's post-publication comment.pdf
Infinitely Divisible Central Probability Measures on Compact Lie Groups - Regularity, Semigroups and Transition Kernels , Annals of Probability 39, 2474-96 (2011) .pdf Author's post-publication comment.pdf
Aspects of Recurrence and Transience for Levy Processes in Transformation Groups and Non-Compact Riemannian Symmetric Pairs, Journal of The Australian Math. Soc 94, 304-20 (2013) .pdf Authors' post-publication comment.pdf
Smoothness of Densities on Compact Lie Groups , Rendiconti del Seminario Matematico Torino 19 No.2 197-209 (2013) .pdf
Second quantisation for skew convolution products of measures in Banach spaces, (co-author: Jan van Neerven ), Electronic Journal of Probability 19, paper 11 (17 pages) (2014) .pdf Author's post-publication comment.pdf
Probabilistic Approach to Fractional Integrals and the Hardy-Littlewood-Sobolev Inequality , (co-author: Rodrigo Banuelos ), in ``Analytic Methods in Interdisciplinary Applications'', Springer Proc. Math. Stat. Vol. 116, pp. 17-40 (2014) .pdf Authors' post-publication comment.pdf
Second quantisation for skew convolution products of infinitely divisible measures, (co-author: Jan van Neerven ), Infinite Dimensional Analysis and Quantum Probability 18, 155003 (12 pages) (2015) .pdf
A generalised Gangolli-Levy-Khintchine formula for infinitely divisible measures and Levy processes on semi-simple Lie groups and symmetric spaces , (co-author: Tony Dooley ), Annales Institut Henri Poincare (Prob.Stat.) 51, 599-619 (2015) .pdf Authors' post-publication comment.pdf
Infinite dimensional Ornstein-Uhlenbeck processes driven by Levy processes, Probability Surveys 12, 33-54 (2015) .pdf
Stationary random fields on the unitary dual of a compact group, Seminaire de Probabilites XLVIII, Lecture Notes in Math Vol. 2168, 469-80 (2016) .pdf
On the Spectrum of Self-Adjoint Levy Generators, .pdf , Communications on Stochastic Analysis 13 , Number 1, Article 4 (2019)
The Positive Maximum Principle on Lie Groups, (co-author: Trang Le Ngan ) .pdf , to appear in J.London Math.Soc.
The Positive Maximum Principle on Symmetric Spaces, (co-author: Trang Le Ngan ) .pdf
L^2 Properties of Levy Generators on Compact Riemannian Manifolds, (co-author: Rosemary Shewell Brockway ) .pdf , to appear in J.Theor.Prob.