My research interest is random Schrödinger operators.

Publications:

• Central limit theorem for the random variables associated with the IDS of the Anderson model on lattice; arXiv:2309.07529.

• Smoothness of integrated density of states and level statistics of the Anderson model when single site distribution is convolution with the Cauchy distribution; arXiv:2203.04569.

• Smoothness of integrated density of states of the Anderson model on Bethe lattice in high disorder; (with M. Krishna),

Journal of Statistical Physics, 190(5), paper no 103, 2023.

• A  theorem on the multiplicity of the singular spectrum of a general Anderson-type Hamiltonian; (with Anish Mallick),                                    Journal of Spectral Theory, 11(4), 1953-1985, 2021.   

• The IDS and asymptotic of the largest eigenvalue of random Schrödinger operators with decaying random potential;                                  Reviews in Mathematical Physics, 33(8), 2150026, 2021 .

• Regularity of the density of states of random Schrödinger operators;  (with M. Krishna and Anish Mallick),                                          Communications in Mathematical Physics, 378(1), 299-328, 2020.

• Spectral Statistics of Random Schrödinger Operators with growing Potentials: (with Anish Mallick),                                                     Mathematische Nachrichten, 292(9), 2048-2071, 2019.

• Spectral Statistics for one dimensional Anderson model with unbounded but decaying potential: (with Anish Mallick),                                       Infinite Dimensional Analysis, Quantum Probability and Related Topics, 22(2), 1950012, 2019.

• Eigenfunction Statistics for Anderson Model with Holder continuous single site Potential; (with Anish Mallick),                                                    Proc. Indian Acad. Sci. Math. Sci, 126 (4), 577-589, 2016.

• Some estimates regarding Integrated density of states for random Schrödinger operator with decaying random Potentials;                          Operator Theory: Advances and Applications, 254, 119-132, 2016.

• Poisson Statistics for Anderson Model with Singular Randomness; (with M. Krishna),                                                                                        Journal of the Ramanujan Mathematical Society, 30(3), 251-266, 2015.                                                                                                        

• Level Repulsion for a class of decaying random potentials; (with M. Krishna),  Markov Processes and Related Fields, 21(3), 449-462, 2015.