Published/Accepted:
1. A Homomorphism Theorem and a Trotter Product Formula for Quantum Stochastic Flows with Unbounded Coefficients (with D. Goswami and K.B. Sinha). Communications in Mathematical Physics, 330, No.2 (2014), 435–467.
2. Quantum Brownian Motion on Noncommutative Manifolds: Construction, Deformation and Exit Time (with D. Goswami). Communications in Mathematical Physics, 309, No.1 (2012), 193—228.
3. Quantum Gauge symmetries in Noncommutative Geometry (with J. Bhowmick, F. D’Andrea and L. Dąbrowski). Journal of Non-commutative Geometry, 8, No. 2 (2014), 433—471.
4. Quantum Eberlein compactification and invariant means (with M. Daws). Indiana University Mathematics Journal, 65, no. 1 (2016), 307–352.
5. On a quantum version of Ellis joint continuity theorem (with C. Mrozinski). Illinois Journal of Mathematics, to appear. arXiv: 1502.02469 [math O.A.], 2015.
6. One-to-one correspondence between generating functionals and cocycles on quantum groups in presence of symmetry (with U. Franz, A. Kula and A. Skalski). Mathematische Zeitschrift, 281, no. 3–4 (2015), 949–965.
7. Dilation of Arbitrary Symmetric Quantum Dynamical Semigroups on B(h). Infinite Dimensional Analysis, Quantum Probability and Related Topics, 15, no. 3 (2012).
In progress:
1. On the equivalence of strongly almost periodic and almost periodic functions on quantum groups and related open problems.
2. Strong Voiculescu amenability of quantum groups (with Pekka Salmi)
3. Invariant Markov semigroups on coidalgebras of compact quantum groups (with Uwe Franz and Xumin Wang).
4. Levy processes on quantum groups and noncommutative manifolds (with J. M. Lindsay).
5. Unitary random walk approximation for quantum Levy processes (with B.K. Das and J. M. Lindsay).
6. Amenability of quantum Fourier-Stieltjes algebra.
7. Levy-Khintchine decomposition problems for universal unitary and orthogonal quantum groups (with U. Franz, A. Kula and A. Skalski).
Biswarup Das 