• The pressure, densities and first order phase transitions associated with multidimensional SOFT, pdf
• Entropy of holomorphic and rational maps: a survey, Recent Progress in Dynamics, Edited by Boris Hasselblatt, Mathematical Science Research Institute Publications, vol. 54, Cambridge University Press, 2007, 113--128., pdf
• The $1$-vertex transfer matrix and accurate estimation of
  channel capacity, submitted pdf
• Theory of Computation of Multidimensional Entropy with an Application to the Monomer-Dimer Problem, Advances of Applied Math. 34(2005), 486-522. pdf file 
• Generalized interval exchanges and the 2-3 conjecture, CEJM 3 (3), 2005, 412-429. pdf
• Computation of entropy in statistical mechanics and information theory,  Congr. Numer. 168 (2004), 207--213.  ps file 
• Multi-dimensional capacity, pressure and Hausdorff dimension, Mathematical Systems in Biology, Communications, Computations, and Finance, Editors: J. Rosenthal and D. Gilliam,  IMA vol. 134 (2003),  183-222 pdf
• Discrete Lyapunov exponents and Hausdorff dimension, J. Ergod. Th. & Dynam. Sys, 20 (2000), 145-172. Corrections: J. Ergod. Th. & Dynam. Sys, 20 (2000), 1551. pdf
• Hausdorff dimension, strong hyperbolicity and complex dynamics, Dis. Cont. Dynamical Systems, 4 (1998), 405-430. pdf
• On the entropy of Z-d subshifts of finite type, Linear Algebra Appl. 252 (1997), 199-220. pdf
• Entropy of graphs, semigroups and groups, Ergodic Theory of Z^d-Actions, London Math. Soc. Lecture Notes Ser. 228, 319-343, Cambridge Univ. Press, 1996.pdf
• Entropy of algebraic maps, J. Fourier Anal. Appl., Kahane's issue, (1995) 215-228. pdf
• Invariant measures of groups of homeomorphisms and Auslander's conjecture, J. Ergod. Th. & Dynam. Sys. 15 (1995), 1075-1089. pdf
• Entropy of rational self-maps of projective varieties, Advanced Series in Dynamical Systems, vol. 9, 128-140, World Sci. Publishing Co., Singapure 1991 pdf

MATRICES, TENSORS AND RELATED SUBJECTS:

1. Applied and computational aspects

• Positive diagonal scaling of a nonnegative tensor to one with prescribed slice sums, arXiv:0908.2368v1, submitted pdf
• Maximizing Sum Rates in Gaussian Interference-limited Channels, submitted pdf
• Best subspace tensor approximations, arXiv.0805.4220 pdf
• Towards theory of generic Principal Component Analysis, to appear in J. Multivariate
  Analysis, pdf.
• Nonnegativity of Schur complements of nonnegative idempotent matrices, Electronic Journal of Linear Algebra, 17 (2008), 426-435. pdf
• Fast low rank approximations of matrices and tensors, submitted, 15 pp, 2008. pdf
• Generalized rank-constrained matrix approximations, SIAM J. Matrix Anal. Appl. 29 (2007),
  656--659. pdf
• A simultaneous reconstruction of missing data in DNA microarrays, Linear Alg. Appl 416 (2006), 8-28. file
• An algorithm for missing value estimation for DNA microarray data, Proc. ICASSP, 2006 pdf 
• Fast Monte-Carlo low rank approximations for matrices, Proc. IEEE Conference SoSE, Los Angeles, 2006, 218-223. pdf 
• A New Approach to Generalized Singular Value Decomposition,  SIMAX 27 (2005), 434-444  pdf
• Normal matrices and the completion problem,  SIMAX  J. Matrix Anal. Appl. 23(2002), 896-902 normalm.ps 

2. Graphs and combinatorics

• A note on fractal structure of cubic graphs in the mean-variance coordinates of graph resolvent,
• submitted, pdf
• On the First Eigenvalue of Bipartite Graphs, arXiv:0809.1615v1 , Electron. J. Combin., 15(1):Research Paper 144, 23, 2008. MR2465768
• On the graph isomorphism problem, arXiv:0801.0398v3, pdf
• On the number of matchings in regular graphs, The Electronic Journal of Combinatorics, 15 (2008), #R110, 1-28. pdf
• An upper bound for the minimum rank of a graph, Linear Algebra Appl., 429(7):1629--1638, 2008. pdf
• The maximum number of perfect matchings in graphs with a given degree sequence, The Electronic Journal of Combinatorics, 15 (2008), #N13, 1-2. pdf
• Minimum rank of matrices described by a graph or pattern over the rational,
  real and complex numbers, The Electronic Journal of Combinatorics, 15 (2008), #R25, 1-19. pdf
• Lower bounds for partial matchings in regular bipartite graphs and applications to the monomer-dimer entropy, Combinatorics, Probability and Computing, 17 (2008), 347-361. pdf
• On the validations of the asymptotic matching conjectures, J. Stat. Phys., 133(3):513--533, 2008. pdf 
• FPRAS for computing a lower bound for weighted matching polynomial of graphs, arXiv:cs/0703029 pdf
• The Polytope of Dual Degree Partitions, Linear Alg.Appl., 426 (2007), 458-461. arXiv:math/0612061 pdf
• A polynomial-time approximation algorithm for the number of $k$-matchings in bipartite graphs, Mathematical papers in honour of Eduardo Marques de S\'a, Textos de Matem\'atica #39, Coimbra University, Portugal, 2006, 61-67. arXiv:cs/0607135 pdf
• Exact conditions for countable inclusion-exclusion identity and extensions, International Journal of Pure and Applied Mathematics, 29 (2006), 177-182. arXiv:math/0602035   pdf 
• Explicit constructions of families of LDPC codes with no 4-cycles, IEEE Trans. Inform. Theory 50 (2004), 1-12. pdf 
• Concentration of permanent estimators for certain large matrices, Annals of Applied Probability, 14(2004), 1559-1576. pdf
• On Cheeger-type inequalities,  J. Graph Theory 41 (2002), 1-17 ps file
• Spectra of expansion graphs, (with H. Schneider), Elec. Lin. Alg., 6 (1999/2000),
  2-10. pdf

3. Geometry

• p-Metrics on GL(n,C)/U_n and their Busemann compactifications, Linear Algebra Appl. 376 (2004), 1-18.  pmetricm.pdf 
• Revisiting Siegel upper half plane I, Linear Algebra Appl. 376 (2004) 19-44, as PDF 
• Revisiting Siegel upper half lane II, Linear Algebra Appl. 376 (2004), 45-67, as PDF
• Properly discontinuous groups on certain matrix homogeneous
  spaces, Linear Multilin. Algebra 43 (1997), 151-167. pdf

4. Theoretical properties

• Perron-Frobenius theorem for nonnegative multilinear form arXiv:0905.1626
• Additive invariants on quantum channels and
  regularized minimum entropy, Proceedings of IWOTA 2008,pdf , arXiv:0809.0078
• On the generic rank of 3-tensors , arXiv:0805.3777
• Asymptotic Positivity of Hurwitz Product Traces: Two Proofs, submitted, pdf
• Remarks on BMV conjecture , arXiv:0804.3948
• 2-addic valuations of certain ratios of products of factorials and applications, Linear Alg.Appl., 426 (2007), 159-189. pdf
• Matrices over Integral Domains, Chapter 23, Handbook of Linear Algebra, Edited by Leslie Hogben, CRC Press, Boca Raton, 2006, 23-1 -- 23-11.   pdf 
• Similarities of Families of Matrices, Chapter 24, Handbook of Linear Algebra, Edited by Leslie Hogben, CRC Press, Boca Raton, 2006, 24-1 -- 24-12.  pdf 
• Convergence of products of matrices in projective spaces, Linear Alg. Appl 413(2006), 247-263. pdf
• On "The multiplicity of eigenvalues" by P. Lax, BAMS 6(1982), in Lax Selecta II, 588-590, 2005. pdf 
• Positive entries of stable matrices, ELA 12 (2005), 17-24 pdf
• Generalizations of  the odd degree theorem and applications, Israel J. Math.136 (2003), 353-371. pdf
• On spaces of matrices containing a nonzero matrix of bounded rank,  Pacific J. Math. 207 (2002), 157-176 pdf

5. Functional Analysis

• Finite and infinite dimensional generalizations of Klyachko theorem,
  Linear Algebra Appl. 319 (2000), 3-22. pdf
• The limit of the product of the parametrized exponential of two operators,  J. Functional
• Analysis 210 (2004), 436-464.  pdf 

--------------------------Slides of Lectures----------------------

• Results and problems for 3-tensors, NIU LA'09 pdf
• Results and problems for 3-tensors, Haifa Matrix Conference, May 2009 pdf
• Tensors: theory and applications, TTI-C, March 2, 2009 pdf
• Results and problems for 3-tensors, NSF TENSOR COMPUTATION WORKSHOP, Arlington, February 20-21, 2009 pdf
• Approximation of matrices and tensors, KU, December 11, 2008 pdf
• Eigenvalue inequalities, log-convexity and scaling: old results and new applications, a tribute to Sam Karlin, Calgary, January 8, 2009 pdf
• Maximizing Sum Rates in Gaussian Interference-limited Channels , Hamilton Instittute, August 5, 2008 pdf
• 3-Tensors, Geometry and Representation Theory of Tensors, MSRI, July 17, 2008, pdf
• Low Rank Approximations of Matrices and Tensors, 2008 SIAM Annual Meeting, July 11, 2008, pdf
• Counting matchings in graphs, with applications to the monomer-dimer models, Berlin 8.2.08, Vienna19.2.08, Umea 9.4.08, Stockholm 16.4.08 pdf
• "Fast low rank approximations of matrices and tensors", Gene Golub memorial meeting, Berlin, February 29, 2008. pdf
• "Analysis of Big Multidimensional Data", Google Tech Talks, June 1, 2007. link
• Pressure and phase transition in Potts models in Statistical Mechanics, Seminar Hebrew Univ., December 2006 pdf
• Matchings and Independent Sets: Problems, Conjectures and Results, Hamilton Institute, July 2006 pdf
• 3-Tensors: ranks and approximations, Stanford-Yahoo conference, June 2006 pdf
• Fast Monte-Carlo Low Rank Approximations for Matrices, IEEE SoSE, 2006 pdf
• Entropy of holomorphic and rational maps, 2006 pdf 
• Matchings and Positive Hyperbolic Polynomial, 2005 pdf 
• The Role of Singular Value Decomposition in Data Analysis, 2005   pdf 
• Multi-dimensional entropy and the monomer-dimer problem, HU, Technion, TAU, 2003 pdf
• Multi-dimensional capacity, MTNS 2002 lecture pdf

-------- MY STUDENTS-----------------

• Amir Niknejad": Application of Singular Value Decompositions to DNA Microarrays", 2005 pdf 
• Amir's Lecture "The Role of Singular Value Decomposition in Gene Expression Microarrays "pdf
• Amir's Lecture "Fast low rank approximation of matrices using Monte-Carlo
  techniques" pdf
• --------------Lecture Notes-------------------
• Matrices - Fall 2005 pdf
• Probability on Graphs - Spring 2005 pdf
• Methods of algebraic geometry in matrix theory pdf
• --------------------------------------------
• APPLICATIONS OF LINEAR ALGEBRA TO DNA MICROARRAYS, A. Niknejad
• and S. Friedland, VDM Verlag Dr M\"uller Aktiengesellschaft\&Co.KG, Germany, 2009, ISBN: 978-3-639-17994-1, book cover, contents of the book
• MATRICES- a book draft in preparation pdf