Wishart and random density matrices: Analytical results for mean square Hilbert-Schmidt distance, Santosh Kumar, Physical Review A 102, 012405 (2020).
DOI Link: https://doi.org/10.1103/PhysRevA.102.012405
Distribution of the ratio of two consecutive level spacings in orthogonal to unitary crossover ensembles, Ayana Sarkar, Manuja Kothiyal, and Santosh Kumar, Physical Review E 101, 012216 (2020).
DOI Link: https://doi.org/10.1103/PhysRevE.101.012216
Synergistic Effect of Singly Charged Oxygen Vacancies and Ligand-Field for Regulating Transport Properties of Resistive Switching Memories, Dip Das, Arabinda Barman, Santosh Kumar, Anil Sinha, Mukul Gupta, Rahul Singhal, Priya Johari, and Aloke Kanjilal, The Journal of Physical Chemistry C 123, 26812 (2019).
DOI Link: https://doi.org/10.1021/acs.jpcc.9b08078
Recursion scheme for the largest β-Wishart-Laguerre eigenvalue and Landauer conductance in quantum transport, P. J. Forrester and S. Kumar, Journal of Physics A: Mathematical and Theoretical (Letters) 52, 42LT02 (2019).
DOI Link: https://doi.org/10.1088/1751-8121/ab433c
Exact Distributions for Bit Error Rate and Channel Capacity in Free Space Optical Communication, S. Kumar, R. K. Singh, and Karmeshu, IET Communications 13, 2966 (2019).
DOI Link: https://doi.org/10.1049/iet-com.2019.0314
Bures-Hall ensemble: spectral densities and average entropies, A. Sarkar and S. Kumar, Journal of Physics A: Mathematical and Theoretical 52, 295203 (2019).
DOI Link: https://doi.org/10.1088/1751-8121/ab2675
Recursion for the smallest eigenvalue density of β-Wishart-Laguerre ensemble, S. Kumar, Journal of Statistical Physics 175, 126 (2019).
DOI Link: https://doi.org/10.1007/s10955-019-02245-z
Full-text view-only link: https://rdcu.be/bmtAs
Efficient implementation of the Wang-Landau algorithm for systems with length-scalable potential energy functions, S. Kumar, G. Kumar, R. S. Chandramouli, and S. Anand, Physical Review E 98, 063301 (2018).
DOI Link: https://doi.org/10.1103/PhysRevE.98.063301
Asymptotic Eigenvalue Density for the Quotient Ensemble of Wishart Matrices, S. Kumar, G. F. Pivaro, Y. R. Yerrababu, G. Fraidenraich, D. A. Guimarães, and R. A. A. de Souza, IEEE Communications Letters 22, 2575 (2018).
DOI Link: https://doi.org/10.1109/LCOMM.2018.2877327
Comments on 'Cutset Bounds on the Capacity of MIMO Relay Channels', S. Kumar, G. F. Pivaro, and G. Fraidenraich, IEEE Access 6, 35129 (2018).
DOI Link: https://doi.org/10.1109/ACCESS.2018.2849640
The Probability That All Eigenvalues are Real for Products of Truncated Real Orthogonal Random Matrices, P. J. Forrester and S. Kumar, Journal of Theoretical Probability 31, 2056 (2018).
DOI Link: https://doi.org/10.1007/s10959-017-0766-0
Exact distribution of spacing ratios for random and localized states in quantum chaotic systems, S. H. Tekur, S. Kumar, and M. S. Santhanam, Physical Review E 97, 062212 (2018).
DOI Link: https://doi.org/10.1103/PhysRevE.97.062212
How many eigenvalues of a product of truncated orthogonal matrices are real?, P. J. Forrester, J. R. Ipsen, and S. Kumar, Experimental Mathematics (2018).
DOI Link: https://doi.org/10.1080/10586458.2018.1459962
A New Approximation for PDF of K Distribution: Analytical Study of QoS Parameters in Free Space Optical Communication, R. K. Singh, S. Kumar, and Karmeshu, IET Communications 12, 1703 (2018).
DOI Link: https://dx.doi.org/10.1049/iet-com.2017.1388
Bit Error Probability for MMSE Receiver in GFDM Systems, D. C. Melgarejo, S. Kumar, G. Fraidenraich, and L. L. Mendes, IEEE Communications Letters 22, 942 (2018).
DOI Link: https://doi.org/10.1109/LCOMM.2018.2808475
Distribution of off-diagonal cross sections in quantum chaotic scattering: Exact results and data comparison, S. Kumar, B Dietz, T Guhr, and A Richter, Physical Review Letters 119, 244102 (2017).
Relativistic nature of carriers: Origin of electron-hole conduction asymmetry in monolayer graphene, P. K. Srivastava, S. Arya, S. Kumar, and S. Ghosh, Physical Review B (Rapid Communications) 96, 241407(R) (2017).
A Novel Approximation for K Distribution: Closed form BER using DPSK Modulation in Free Space Optical Communication, R. K. Singh, Karmeshu, and S. Kumar, IEEE Photonics Journal 9, 1 (2017).
DOI Link: https://doi.org/10.1109/JPHOT.2017.2746763
Smallest eigenvalue density for regular or fixed-trace complex Wishart–Laguerre ensemble and entanglement in coupled kicked tops, S. Kumar, B. Sambasivam, and S. Anand, Journal of Physics A: Mathematical and Theoretical 50, 345201 (2017).
Approximate Sum Rate for Integer-Forcing Receiver, A. S. Guerreiro, G. Fraidenraich, and S. Kumar, IEEE Transactions on Communications 65, 4899 (2017).
On the Exact and Approximate Eigenvalue Distribution for Sum of Wishart Matrices, G. F. Pivaro, S. Kumar, G. Fraidenraich, and C. F. Dias, IEEE Transactions on Vehicular Technology 66, 4899 (2017).
On the Exact Distribution of Mutual Information of Two-user MIMO MAC Based on Quotient Distribution of Wishart Matrices, G. Pivaro, S. Kumar, G. Fraidenraich, EURASIP Journal on Wireless Communications and Networking 2017, 75 (2017).
DOI Link: https://doi.org/10.1186/s13638-017-0854-y
On the Ergodic Capacity of Distributed MIMO Antenna Systems, S. Kumar, Wireless Personal Communications 92, 381 (2017).
The Correlated Jacobi and the Correlated Cauchy-Lorentz Ensembles, T. Wirtz, D. Waltner, M. Kieburg, S. Kumar, Journal of Statistical Physics 162, 495 (2016).
DOI Link: https://doi.org/10.1007/s10955-015-1416-5
Exact evaluations of some Meijer G-functions and probability of all eigenvalues real for the product of two Gaussian matrices, S. Kumar, Journal of Physics A: Mathematical and Theoretical 48, 445206 (2015).
DOI Link: https://doi.org/10.1088/1751-8113/48/44/445206
IOP Publisher's Pick - Interview: http://iopscience.iop.org/1751-8121/page/Interview-with-Santosh-Kumar
Random matrix ensembles involving Gaussian Wigner and Wishart matrices, and biorthogonal structure, S. Kumar, Physical Review E 92, 032903 (2015).
Eigenvalue Statistics for the Sum of Two Complex Wishart Matrices, S. Kumar, Europhysics Letters 107, 60002 (2014).
DOI Link: https://doi.org/10.1209/0295-5075/107/60002
Distributions of Off-Diagonal Scattering Matrix Elements: Exact Results, A. Nock, S. Kumar, H.-J. Sommers and T. Guhr, Annals of Physics 342, 103 (2014).
Distribution of Scattering Matrix Elements in Quantum Chaotic Scattering, S. Kumar, A. Nock, H.-J. Sommers, T. Guhr, B. Dietz, M. Miski-Oglu, A. Richter, and F. Schäfer, Physical Review Letters 111, 030403 (2013).
Random Matrix Ensembles: Wang-Landau Algorithm for Spectral Densities, S. Kumar, Europhysics Letters. 101, 20002 (2013).
DOI Link: https://doi.org/10.1209/0295-5075/101/20002
Entanglement in Random Pure States: Spectral Density and Average von Neumann Entropy, S. Kumar and A. Pandey, Journal of Physics A: Mathematical and Theoretical 44, 445301 (2011).
DOI Link: https://doi.org/10.1088/1751-8113/44/44/445301
Skew-Orthogonal Polynomials and Crossover Ensembles of Random Matrices, S. Kumar and A. Pandey, Annals of Physics 326, 1877 (2011).
DOI Link: https://doi.org/10.1016/j.aop.2011.04.013
Conductance Distributions in Chaotic Mesoscopic Cavities, S. Kumar and A. Pandey, Journal of Physics A: Mathematical and Theoretical 43, 285101 (2010).
DOI Link: https://doi.org/10.1088/1751-8113/43/28/285101
Random Matrix Model for Nakagami-Hoyt Fading, S. Kumar and A. Pandey, IEEE Transactions on Information Theory 56, 2360 (2010).
DOI Link: https://doi.org/10.1109/TIT.2010.2044060
Jacobi Crossover Ensembles of Random Matrices and Statistics of Transmission Eigenvalues, S. Kumar and A. Pandey, Journal of Physics A: Mathematical and Theoretical 43, 085001 (2010).
DOI Link: https://doi.org/10.1088/1751-8113/43/8/085001
Universal Spectral Correlations in Orthogonal-Unitary and Symplectic-Unitary Crossover Ensembles of Random Matrices, S. Kumar and A. Pandey, Physical Review E 79, 026211 (2009).
DOI Link: https://doi.org/10.1103/PhysRevE.79.026211