## Publications

Curves and envelopes that
bound the spectrum of a matrix

arXiv:1610.02196,
2016

*Exact
probabilities for typical ranks of **2 x 2 x 2 and 3 x 3
x 2 tensors**
*Linear Algebra and its Applications, 438, 663-667, 2013

*Rank
probabilities for real random** N × N × 2
tensors**
*Electronic Communications in Probability, 16, 630-637, 2011
(with P.J.Forrester)

*The
higher-order
singular
value decomposition: theory and an application
*IEEE Signal Processing Magazine, 27, 151-154, 2010 (with
E.G.Larsson)

Awarded the 2014 IEEE Signal Processing Magazine Best Column Award

Awarded the 2014 IEEE Signal Processing Magazine Best Column Award

*Overview
of recent advances in numerical tensor algebra
*Proc. of Asilomar Conference on Signals, Systems and
Computers, 2010 (with E.G.Larsson)

*Analytical methods to compute the CP decomposition of 2
× 2 × 2 tensors**
*preprint, 2010 (with A.Rovi)

*The Chevreton tensor and Einstein-Maxwell spacetimes conformal
to Einstein spaces*

Classical and Quantum Gravity, 24, 3437-3456, 2007 (with
I.Eriksson)

*Algebraic and differential Rainich conditions for symmetric
trace-free tensors of higher rank
*Proceedings of the Royal Society of London A, 461, 2181-2195,
2005 (with P.Lankinen)

*Unique characterization of the Bel-Robinson tensor
*Classical and Quantum Gravity, 21, 3499-3503, 2004 (longer
version at gr-qc/0403024) (with P.Lankinen)

* New electromagnetic conservation laws*

Classical and Quantum Gravity, 20, 2663-2668, 2003 (with
I.Eriksson and J.M.M.Senovilla)

*Causal tensors in Lorentzian geometry*

in “Proceedings of Congreso Geometría de Lorentz,
Benalmádena 2001”, 73-83, Publicaciones de la Real Sociedad
Matemática Española, 2003

*Structure of conformal Lorentz transformations*

in "Current Trends in Relativistic Astrophysics" (ed.
L.Fernández-Jambrina and L.M. González-Romero),
245-251, Lecture Notes in Physics, Springer, 2003 (with
J.M.M.Senovilla)

*Algebraic Rainich theory and antisymmetrization in higher
dimensions*

Classical and Quantum Gravity, 19, 3341-3355, 2002 (with
A.Höglund)

*Causal tensors and simple forms*

Extended abstract for Journees Relativistes (Dublin 2001),
International Journal of Modern Physics A 17, 2748, 2002

*The dominant energy condition and generalised Rainich
conditions*

in “Reference Frames and Gravitomagnetism” (ed. J F
Pascual-Sánchez, L Floría, A San Miguel and F
Vicente), 165-170, World Scientific, 2001

*Null cone preserving maps, causal tensors and algebraic
Rainich theory*

Classical and Quantum Gravity, 18, 5299-5325, 2001 (with
J.M.M.Senovilla)

*Superenergy, spinors and causality*

in “Recent Developments in Gravitation” (ed.
J.Ibáñez), 167-171, Editorial Service of the
University of the Basque Country, 2000

*On the causal propagation of fields*

Classical and Quantum Gravity, 16, L55-61, 1999 (with
J.M.M.Senovilla)

*Positivity of general superenergy tensors*

Communications in Mathematical Physics, 207, 467-479, 1999

*Spinors and the Bel-Robinson tensor*

in “Relativity and Gravitation in General” (ed. J.Martin, E.Ruiz,
F.Atrio and A.Molina), 207-210, World Scientific 1999

*The Lanczos potential for the Weyl tensor*

in “On Recent Developments in Theoretical and Experimental General
Relativity, Gravitation and Relativistic Field Theories”
(ed.T.Piran), 307-309, World Scientific 1999 (with F.Andersson,
B.Edgar and A.Höglund)

*On vacuum momenta of small spheres*

Classical and Quantum Gravity, 15, 1535-1538, 1998

*Positivity properties of the Bel-Robinson tensor*

Journal of Mathematical Physics, 39, 2141-2147, 1998

*Spinor factorizations of the Bel-Robinson tensor*

General Relativity and Gravitation 30, 227-238, 1998

*On the Penrose inequality and the role of auxiliary spinor
fields*

Classical and Quantum Gravity 14, 2577-2583, 1997

*A Lanczos potential in Kerr geometry*

Journal of Mathematical Physics 38, 3142-3154, 1997

*Energy of small surfaces*

Classical and Quantum Gravity 11, 3013-3023, 1994

*On the gauge freedom of gravitational energy*

Classical and Quantum Gravity 11, 2545-2551, 1994

*Simplified spinorial proof of the positive energy theorem*

Physical Review D 48, 628-630, 1993

*Positivity and definitions of mass*

Classical and Quantum Gravity 9, 1917-1922, 1992

*Quasilocal mass for event horizons*

Classical and Quantum Gravity 9, 1753-1768, 1992

*Quasilocal momentum and angular momentum in Kerr spacetime*

Classical and Quantum Gravity 8, 697-701, 1991 (with M.Ludvigsen)

*A simple proof of the perturbative uniqueness of the Kerr
solution*

General Relativity and Gravitation 21, 1171-1175, 1989 (with
M.Ludvigsen)

*Spinor propagation and quasilocal momentum for the Kerr
solution*

Classical and Quantum Gravity 6, L133-136, 1989 (with M.Ludvigsen)

*Quasilocal momentum near a point*

Classical and Quantum Gravity 4, L29-32, 1987 (with M.Ludvigsen)

*Exact nonlinear dielectric function of the Resta model for
semiconductors*

Physics Letters 106A, 8, 396-398, 1984 (with K.A.Chao)

Page responsible: goran.bergqvist@liu.se

Last updated: 2016-11-07