My Book

Determining Spectra in Quantum Theory, Progress in Mathematical Physics Vol 44, Birkhauser, Boston, with M Demuth.My Papers

Finance

*Value at Risk in the Indian Stock Markets*with S K Shanthi, Indian Journal of Applied Finance, Vol 7 (4) (2001).-
*Stock price volatility and volume: a possible law*with S K Shanthi, Preprint. -
*Stock price volatility and volume: A modified Black-Scholes formula*with S K Shanthi.

Mathematics

Downloadable files are gzipped tex(latex2e/amstex) files.-
*A Quantum Theory of Dark Matter*pdf file Preprint. -
*Persistence probabilities in centered, stationary, Gaussian Processes in discrete time*pdf file with Manjunath Krishnapur, To appear in Indian Journal of Pure and Applied Mathematics. -
*Decorrelation estimates for random Schrodinger operators with non rank one perturbatios*pdf file with Peter Hislop, Preprint (2015). -
*Eigengalue statistcs for random Schr\"odinger operators with non rank one potentials*pdf file with Peter Hislop, Commun. Math. Phys. 340, 125-143(2015). -
*Poisson statistics in the Anderson model with singular randomness*pdf file with Dhriti Ranjan Dolai, To appear in the Journal of the Ramanujan Mathematical Society. -
*Level repulsion for a class of decaying random potentials*pdf file with Dhriti Ranjan Dolai . To appear in "Markov Processes and related fields", a special issue on Leonid Pastur Festschrift, (2013). -
*A note on the analyticity of density of states*pdf file with Masahiro Kaminaga, Shu Nakamura, Journal of Statistical Physics, November 2012, Volume 149, Issue 3, pp 496-504. -
*AC spectrum for a class of random operators at small disorder*pdf file , Preprint (2011) (I will not publish this paper). -
*Absolutely continuous spectrum and spectral transition for some continuum random operators*pdf file , Proc. Ind. Acad. Sci. Vol 122, (2) 243-255 (2012). -
*Direct Integrals and Spectral Averaging*pdf file with Peter Stollmann, Journal of Operator Theory, 69(1), 101-107, (2013). -
*Szego's Theorem on the Lattice*pdf file with Jitendriya Swain, Preprint (2010). -
*Lifshitz tails for the Interband Light Absorption Coefficient*with W Kirsch and its pdf version. Proc. Ind. Acad. Sci. vol 120, no 4, 465-479 (2010) ) -
*Regularity of the Interband Light Absorption Coefficient*New version Oct 2009 - (original Nov 2008) and its pdf version. Proc. Ind. Acad. Sci. vol 120, No 3, pp 351-362 (2010). -
*Continuity of integrated density of states-independent randomness*Proc. Ind. Acad. Sci., Vol 117(3), 401-410 (2007) pdf file -
*New criteria to identify spectrum*with A Jensen, Proc. Ind. Acad. Sci, Vol 115(2), 217-226. pdf file -
*Extended abstract of talk given at Oberwolfach, May 2004*work with A Jensen. pdf file *Spectral and Dynamical properties of random models with nonlocal and singular interactions*with P D Hislop and W Kirsch, Math. Nachrichten, 278(6), 627-664 (2005).-
*An Entropic Uncertainty Principle for Quantum Measurements*with K R Parthasarathy, Sankhya, Series A, 64(3), 842-851 (2002). -
*Smoothness of density of states with random decaying interactions*Proc. Ind. Acad. Sci. (Math Sci) 112(1), 163-181 (2002). *Convergence of Mann and Ishikawa iteration schemes for $\phi$- contractive maps in a Banach space.*with G V R Babu (August 2000).*Improved convergence rate estimate of Ishikawa iteration process for Lipschitz strongly pseudocontractive maps in a Banach space.*, with G V R Babu, Bull. Cal. Math. Soc, 94(4), 253-258 (2002)).-
*Spectral properties of Anderson Type operators with decaying randomness*with K B Sinha, Proc. Ind. Acad. Sci. (Math Sci) 111(2), 179-201 (2001). -
*Random Schrodinger operators with Wavelet interactions*with W. Kirsch and P. Hislop, Wavelets and Allied Topics, Narosa Publishing House, New Delhi, (2001). -
*Localization and mobility edge for sparsely random potentials*with J. Obermeit, IMSc Preprint IMSc 98/05/24 (corrected version) Oct 22, 1998. -
*Anderson Model with decaying randomness-mobility edge*with W. Kirsch and J. Obermeit, Math. Z. 235(3), 421-433 (2000). -
*$\xi$-$\zeta$ relation*, Proc. Ind. Acad. Sci 109(4), 379-383(1999). -
*Schrodinger operators with fairly arbitrary spectral features*with V S Sunder, Rev. Math. Phys. 9 (No 3), 343-360(1997). -
*On isospectral sets of Jacobi operators*with F Gesztesy and G Teschl, Commun.Math.Phys 181, 631-645(1996). *Inverse spectral theory for Jacobi matrices and their almost periodicity*with Anand J Antony , Proc.Ind. Acad. Sci.Math.Sci 104(4) 777-818(1994).*Asymptotic analysis and the spectrum for Anyons*with G Date and M V N Murthy, Int. Jour. Mod. Phys.A 9(15) 2545-2561 (1994)*Absolutely continuous spectrum for sparse potentials*Proc. Ind. Acad. Sci. Math. Sci. 103(3) 333-339 (1993)*Almost periodicity of some random Jacobi matrices*with Anand J Antony , Proc. Ind. Acad. Sci. Math. Sci. 102(3) 175-188 (1992)*Anderson model with decaying randomness-extended states*Proc. Ind. Acad. Sci. Math. Sci 100(4) 285-294(1990)*Almost periodicity of some random potentials*with S Kotani, Jour. Func. Ana. 78, 390-405(1987)*Large time behaviour of some N-body systems*Commun. Math. Phys. 101, 129-152(1985)*On the completeness in three body scattering*with Pl Muthuramalingam and K B Sinha, Ann. Inst. H. Poincare 41(1) 79-101(1984)