**John
A. Hertz: publications **

Phenomenological
Theory of Static Critical Phenomena, *Phys
Lett* **28A** 240 (1968)

Dynamical
Scale Invariance in Itinerant Electron Ferromagnets, Ph.D. thesis, University
of Pennsylvania, 1970

Critical
Spin Fluctuations in Itinerant Electron Ferromagnets, *Int J Magnetism* **1** 253
(1971)

Critical
Spin Fluctuations in Itinerant Electron Ferromagnets II: Sum Rule Methods, *Int J Magnetism* **1** 307 (1971)

Critical
Spin Fluctuations in Itinerant Electron Ferromagnets III: Boltzmann Equation
Approach, *Int J Magnetism* **1** 313 (1971)

Critical
Fluctuations in Itinerant Antiferromagnets, *Int
J Magnetism* **2** 421 (1971)

Scaling
Theory for Localized Spin Fluctuations, *J
Low Temp Phys* **5** 123 (1971)

Violation
of Dynamical Scaling in Ferromagnets, in **Dynamical
Critical Phenomena**, Kawatra and Budnick, eds (Gordon and Breach, 1972)

Intermediate
Coupling Theory for Itinerant Electron Ferromagnetism (with D M Edwards), *Phys Rev Lett* **28** 134 (1972)

Spin
Dependent Tunnelling into Ferromagnetic Transition Metals (with K Aoi), *Phys Rev B* **8** 3252 (1973)

Electron-magnon
Interactions in Itinerant Ferromagnetism I: Formal Theory (with D M Edwards), *J Phys F* **3** 2174 (1973)

Electron-magnon
Interactions in Itinerant Ferromagnetism II: Strong Ferromagnetism (with D M
Edwards), *J Phys F* **3** 2191 (1973)

Beyond
Stoner Theory in Transition Metal Ferromagnets, in *Proceedings of the International Conference on Magnetism*, Moscow,
1973, Moscow: Nauka, 1974, vol III, p 354

Fluctuations
in Itinerant Electron Paramagnets (with M A Klenin), *Phys Rev* *B* **10 **1084 (1974)

The
Metal-ferroelectric Transition in TTF-TCNQ (with M H Cohen, P M Horn and V K S
Shante), in *Proceedings of the
International Symposium on Atomic, Molecular, and Solid State Theory and
Quantum Biology*, Sanibel, Florida, *Int
J Quantum Chem, Symp* **8** 491
(1974)

Zero-and
Low-temperature Phase Transitions and the Renormalization Group, Conference on
Magnetism and Magnetic Materials, 1974, *AIP
Conf Proc* **24** 298 (1975)

Fluctuations
in Singlet-ground-state Magnets (with M A Klenin), Conference of Magnetism and
Magnetic Materials, 1974, *AIP Conf Proc*
**24** 242 (1975)

Magnetic
Fluctuations in Singlet-ground-state Systems (with M A Klenin), *Phys Rev B* **14** 1165 (1976)

Absence
of a Migdal Theorem for Paramagnons and its Implications for Superfluid He-3
(with K Levin and M T Beal-Monod), *Solid
State Commun* **18** 803 (1976)

Quantum
Critical Phenomena, *Phys Rev B* **14** 1165 (1976)

Virtual
Spin Waves in Itinerant Ferromagnets above T_{c} (with M A Klenin)
Conference on Magnetism and Magnetic Materials, 1975, *AIP Conf Proc* **29** 270
(1976)

Local
Spin Fluctuations in Chemisorption (with J Handler) Conference on Magnetism and
Magnetic Materials, 1975, *AIP Conf Proc*
**29** 540 (1976)

The
Importance of Vertex Corrections in Paramagnon Theories (with K Levin and M T
Beal-Monod), Conference on Magnetism and Magnetic Materials, 1975, *AIP Conf Proc* **29** 323 (1976)

A
Spin-fluctuation Description of Chemisorption (with J Handler), *Phys Rev B* **15** 4667
(1977)

Theory
of a Fermi Glass (with R Freedman), *Phys
Rev B* **15** 2384 (1977)

Sloppy
Spin Waves above T_{c} (with M A Klenin), *Physica B* **91** 49 (1977)

The
Liquid-gas Critical Point in 3.3 Dimensions (with O T Valls), *Phys Rev B* **18** 2367 (1978)

Critical
Dynamics of a Heisenberg Spin Glass (with R A Klemm) *Phys Rev Lett* **40** 1397
(1978)

Gauge Models for Spin Glasses, *Phys Rev B* **19** 4875 (1978)

The
Stoner Glass, *Phys Rev B* **19** 4976 (1978)

Dynamics
near the Spin Glass Transition (with R A Klemm), *Phys Rev B* **20** 316 (1979)

Renormalization
Group Approach to the Critical Dynamics of a Heisenberg Spin Glass (with R A
Klemm), *J Phys C* **12** L527 (1979)

Marginal
Fluctuations in a Bose Glass (with P W Anderson and L Fleishman), *Phys Rev Lett* **43** 942 (1979)

Models
of Heisenberg Spin Glasses, *J Appl Phys*
**50** 7315 (1979)

Real
Space Renormalization for the Luttinger-Thirring Model on a Lattice (with V R
Vieira), *Phys Rev B* **21** 2336 (1980)

Quantum
Critical Dynamics with Mode-mode Coupling I: Ferromagnets (with W Ridgway), *Phys Rev B* **22** 236 (1980)

Instability
of the Edwards-Anderson Order Parameter in an Ising Spin Glass (with A
Khurana), *J Phys C* **13** 2715 (1980)

Theoretical
Issues in Chemisorption (with T L Einstein and J R Schrieffer), in **Theory of Chemisorption,** J R Smith, ed,
Berlin: Springer Verlag, 1980

Stoner
and Kondo Spin Glasses, in **Electron
Correlation and Magnetism in Narrow-band Systems**, T Moriya, ed, Berlin:
Springer Verlag, 1981, pp 138-149

Propagation
of Sound in a Spin Glass (with R A Klemm and A Khurana), *Phys Rev Lett* **46** 496
(1981)

Stabilization
of the Order Parameter Fluctuations in Spin Glasses (with A Khurana and M
Puoskari), in **Disordered Systems and
Localization**, C Castellani, C Di Castro and L Peliti, eds, *Lecture Notes in Physics* **149**, Berlin: Springer Verlag, 1981

Dynamics
as a Treatment of the Almeida-Thouless Instability (with A Khurana and M
Puoskari), *Phys Rev B* **25** 2065 (1982)

Renormalization
of the Anisotropic Antiferromagnetic Heisenberg Chain (with M Puoskari), *Physica Scripta* **26** 349 (1982)

Dynamical
Mean Field Theory for Spin Glasses I: short time properties in zero field, *J Phys C* **16** 1219 (1983)

Dynamical
Mean Field Theory for Spin Glasses II: approach to equilibrium in a small
field, *J Phys C* **16** 1233 (1983)

Order
Parameters in Spin Glasses (with K H Fischer), *J Phys C* **16** 5017 (1983)

Dynamics
and Stability of the Sherrington-Kirkpatrick Model, *J Magn Magn Mater* **31-34**
1419 (1983)

Self-consistent
Mean Field Theory of the Dynamics of a Heisenberg Spin Glass (with R A Klemm), *Phys Rev B* **28** 2877 (1983)

Spin
Glass Dynamics with Conserved Magnetization (with R A Klemm), *Phys Rev B* **28** 3849 (1983)

Spectra
of Condensed Modes in Spin Glasses: Mean Field Theory and Time Dependence, *Phys Rev Lett* **51** 1880 (1983)

Disordered
Magnetism, in **Solid State Physics,
Lecture Notes, Nordita-Helsinki Technical University Winter School, Tvärminne,
Finland, 1984**, NORDITA, Copenhagen, 1984

Renormalization
Theory for Spin Glasses based on Eigenstates of the **J** Matrix, *J Appl Phys* **57** 3366 (1985)

Fractal
Parisi Order Function in a Hierarchical Spin Glass (with P Sibani), **Nobel Symposium on the Physics of Chaos and
Related Problems, Graftavallen, Sweden, 1984**, *Physica Scripta* **T9** 199
(1985)

Parisi
Function for two Spin Glass Models (with P Sibani), *J Phys A* **18** 1255 (1985)

Disordered
Systems (Nordita Lecture Notes), *Physica
Scripta* **T10** 1 (1985)

Nonuniversal
Critical Dynamical Behaviour in a Model for Charge Density Wave Dynamics (with
R K Ritala), *Physica Scripta* **34** 264-268 (1986)

Memory
Networks with Asymmetric Bonds (with G Grinstein and S A Solla), in **Neural Networks for Computing**} (J Denker, ed), *AIP Conf Proc* **151** 212
(1986)

A
Brief Introduction to Spin Glasses and Related Complex Problems, *Proceedings of Conference on Advances in
Phase Transitions and Disorder Phenomena*}, Amalfi, Italy, June 1986, World
Scientific, Ltd (1987); short version also published in **Recent Progress in Many--Body Theories**, A Kallio, E Pajanne and R F
Bishop, eds, Plenum Press, 1988

Irreversible
Spin Glasses and Neural Networks (with G Grinstein and S A Solla), in *Proceedings of the Heidelberg Conference on
Glassy Dynamics and Optimization*, 1986, I Morgenstern and J L van Hemmen,
eds, Springer Verlag (1987)

Hierarchical
Associative Networks (with C Cortes and A Krogh), *J Phys A* **20** 4449-4455
(1987)

A
Cortical Network for Early Visual Processing (with P Møller and M Nylén), in **Neural Computers**, R Eckmiller and C v d
Malsburg, eds, (Springer Verlag, 1988) pp 139-148

Mean
Field Analysis of Hierarchical Associative Networks with “Magnetisation” (with
A Krogh) *J Phys A* **21** 2211-2224 (1988)

A
"Gauge Theory" in Computational Vision: a Model for Outline
Extraction, *Physica Scripta* **39** 161-167 (1989)

Dynamics
of Learning in Simple Perceptrons (with G I Thorbergsson and A Krogh) *Physica Scripta* **T25** 149-151 (1989)

Statistical
Mechanics of Neural Computation, in *Proceedings
of the International Conference on Vector and Parallel Computing, Tromsø,
Norway, June 1988*} (MIT Press, 1989); also published in *Int J Supercomputer Applications* **2** #4, 54-62 (1988)

Hierarchical
Associative Networks (with A Krogh), in **Neural
Networks from Models to Applications**, L Personnaz and G Dreyfus, eds
(IDSET, Paris, 1989) pp 336-342

Phase
Transitions in Simple Learning (with A Krogh and G I Thorbergsson) *J Phys A* **22** 2133-2150 (1989)

A
Network System for Image Segmentation (with C Cortes) in *Proc Int Joint Conf on Neural Networks, Washington, 1989*
(IEEE-INNS) pp 121-125

A
Simple Model for Pattern Formation in Primate Visual Cortex for the case of
Monocular Deprivation (with J R Thomson, Z Zhang, Wm Cowan, M Grant, and M J
Zuckermann) *Physica Scripta* **T33** 102-109 (1990)

A
Cost Function for Internal Representations (with A Krogh and G I Thorbergsson),
*Advances in Neural Information Processing
Systems* **2 **733-740, ed. D
Touretzky (Morgan Kaufmann, 1990)

Statistical
Mechanics of Learning, pp. 34-39 in **Characterizing
Complex Systems**, ed. H Bohr (World Scientific, 1990)

Hebbian
Learning of Principal Components (with A Krogh), pp. 183-186 in **Parallel Processing in Neural Systems and
Computers**, ed. R Eckmiller, G Hartmann and G Hauske (North-Holland, 1990)

Exploiting
Neurons with Localized Receptive Fields to Learn Chaos (with K Stokbro and D K
Umberger), *Complex Systems* **4** 603-622 (1990)

Statistical
Dynamics of Learning, in **Statistical
Mechanics of Neural Networks**, (*Lecture
Notes in Physics* **368**) pp
137-153, ed. L Garrido (Springer, 1990)

The
Breakdown of Fermi Liquid Theory in the Hubbard Model (with D M Edwards), *Physica D* **163** 527-529 (1990)

Neural
Decoding (with B G Hertz, B Richmond and L M Optican), pp 437-446 in **From Pigments to Perception: Advances in
Understanding Visual Processes**, eds. Arne Valberg and Barry B Lee (Plenum
Press, 1991)

Dynamics
of Generalization in Linear Perceptrons (with A S Krogh), *Advances in Neural Information Processing Systems* **3** 897-903, eds. Richard P Lippmann,
John E Moody and David S Touretzky (Morgan Kaufmann, 1991)

**Introduction
to the Theory of Neural Computation** (book, with R G Palmer and A S Krogh,
Addison-Wesley, 1991)

**Spin Glasses** (book, with K
H Fischer, Cambridge University Press, 1991)

Dynamics
of a Hierarchical Spin Glass (with R Riera), *J Phys A* **24** 2625-2644
(1991)

Statistical
Dynamics of Learning (with A S Krogh), in **Artificial
Neural Networks** (*Proceedings ICANN-91*):
vol. 1, pp 125-131, ed. T Kohonen et al (Elsevier, 1991)

Generalization
in a Linear Perceptron in the Presence of Noise (with A S Krogh), *J Phys A* **25** 1135-1147 (1992)

A
Simple Weight Decay can Improve Generalization (with A S Krogh), *Advances in Neural Information Processing
Systems* **4 **950-957, eds. J E
Moody, S J Hanson and R P Lippmann (Morgan Kaufmann, 1992)

Decoding
of Neuronal Signals in Visual Pattern Recognition (with E Eskandar, B J
Richmond, L M Optican and T W Kjær), *Advances
in Neural Information Processing Systems* **4 **356-363**,** eds. J E
Moody, S J Hanson and R P Lippmann (Morgan Kaufmann, 1992)

Generalization
in a Large Committee Machine (with H Schwarze), *Europhysics Letters* **20**
375-380 (1992)

Prediction
with Recurrent Networks (with N H Wulff) in **Neural Networks for Signal Processing II**, *Proceedings of the 1993 IEEE Workshop* (S Kung, F Fallside, J Å
Sørensen and C Kamm, eds.), pp. 464-473, IEEE Press (1992)

Measuring
Natural Neural Processing with Artificial Neural Networks (with T W Kjær, E N
Eskandar and B J Richmond), *Int J Neural
Systems* **3** (Suppl) 91-103 (1992)

Generalization
in Fully Connected Committee Machines (with H Schwarze), *Europhysics Letters* **21**
785-790 (1993)

Statistical
Mechanics of Learning in a Large Committee Machine (with H Schwarze), *Advances in Neural Information Processing
Systems* **5** 523-530, eds. S J
Hanson, J D Cowan and C L Giles (Morgan Kaufmann, 1993)

Learning
Cellular Automaton Dynamics with Neural Networks (with N H Wulff), *Advances in Neural Information Processing
Systems* **5 **631-638**,** eds. S J Hanson, J D Cowan and C L
Giles (Morgan Kaufmann, 1993)

Learning
from Examples in Fully Connected Committee Machines (with H Schwarze), *J Phys A* **26** 4919-4936 (1993)

Generalization
in Large Committee Machines (with H Schwarze), *Physica A* **200** 563-569
(1993)

Generalization
in Neural Networks: Theory and Practice, pp 55-64 in *Proceedings of the International Workshop on Artificial Intelligence
Applications in Solar-Terrestrial Physics*, eds: J Joselyn, H Lundstedt and
J Trollinger (Boulder CO: NOAA Space Environment Laboratory, 1993)

Discontinuous
Generalization in Large Committee Machines (with H Schwarze), *Advances in Neural Information Processing
Systems* **6** 399-406 (Morgan
Kaufmann, 1994)

Decoding
Cortical Neuronal Signals: Network Models, Information Estimation, and Spatial
Tuning (with T W Kjær and B J Richmond) *J
Comput Neurosci* **1** 109-139 (1994)

Glassy
Transition and Aging in a Model Without Disorder (with S Franz), *Phys Rev Lett* **74** 2114-2117 (1995)

Information
Flow and Temporal Coding in Primate Pattern Vision (with J Heller, T W Kjær and
B J Richmond), *J Comp Neurosci* **2**, 175-193 (1995)

Information
Spectroscopy of Single Neurons (with J Heller, T W Kjær and B J Richmond), *Int J Neural Systems* **6** (Suppl) 123-132 (1995)

Analysis
of Synfire Chains (with M Herrmann and A Prügel-Bennett), *Network: Computation in Neural Systems* **6** 403-414 (1995)

Computing
with Attractors, pp 230-234 in **Handbook
of Brain Theory and Neural Networks**} (M Arbib, ed) MIT Press (1995)

Sensory
Coding and Information Theory, pp 864-867 in **Handbook of Brain Theory and Neural Networks**} (M Arbib, ed) MIT
Press (1995)

Adjacent
Visual Cortical Complex Cells Share About 20% of their Stimulus-Related
Information (with T J Gawne, T W Kjær and B J Richmond), *Cerebral Cortex* **6**
482-489 (1996)

Learning
Short Synfire Chains by Self-organization (with A Prügel-Bennett), *Network: Computation in Neural Systems* **7** 357-363 (1996)

Learning
Synfire Chains: Turning Noise into Signal (with A Prügel-Bennett), *Int J Neural Systems* **7** 445-450 (1996)

Nonlinear
Back-propagation: Doing
Back-propagation without Derivatives of the Activation Function (with A Krogh,
B Lautrup and T Lehman), *IEEE Trans
Neural Networks* **8** 1321-1327
(1997)

Insensitivity
of V1 Complex Cell Responses to Small Shifts in the Retinal Image of Complex
Patterns (with T W Kjær, T J Gawne and B J Richmond), *J Neurophysiol* **78**
3187-3197 (1997)

How
well can we estimate the information carried in neuronal responses from limited
samples? (with D Golomb, S Panzeri, B J Richmond and A Treves) *Neural Computation* **9** 649-665 (1997)

Modelling
Synfire Processing, pp 135-144 in **Theoretical
Aspects of Neural Computation**, K-Y M Wong, I King and D-Y Yeung, eds
(Springer-Verlag, 1997)

Toward
a mean-field model of a genome, *Phil Mag
B* **77** 1593-1599 (1998)

Odor
recognition and segmentation by coupled olfactory bulb and cortex (with
Zhaoping Li), *Neurocomputing* **26-27** 789-794 (1999)

The
Relation between V1 Neuronal Responses and Eye-movement-like Stimulus
Presentations (with B J Richmond and T J Gawne), *Neurocomputing* **26-27**
247-254 (1999)

I
risultati dell'elaborazione neuronale come fonte dell'informazione (Reading the
Information in the Outcome of Neural Computation), in Frontiere della Vita,
Vol. 3, Sistemi Intelligenti, pp. 631-649, Istituto della Enciclopedia
Italiana, 1999

Modeling
Synfire Networks, in **Neuronal
Information Processing, from Biological Data to Modelling and Applications**,
eds. G Burdet, P. Combe and O Parodi, (World Scientific, 1999)

Competition
between glassiness and order in a multi-spin glass (with D Sherrington and Th M
Nieuwenhuizen), *Phys Rev E* **60**, R2460 (1999)

Odour
Recognition and segmentation by a model olfactory bulb and cortex (with
Zhaoping Li), *Network: Computation in
Neural Systems* **11** 83-102 (2000)

Coarse-grained
reverse engineering of genetic regulatory networks (with M Wahde), *Biosystems* **55** 129-136 (2000)

Random
Heteropolymer Dynamics (with Z Konkoli and S Franz) *Phys Rev E* **64** 051910
(2001)

Modeling
genetic regulatory dynamics in neural development (with M Wahde), *J Comput Biol* **8** 429-442 (2001)

Spike-Timing-Dependent
Learning for Oscillatory Networks (with S Scarpetta and Z Li), *Advances in Neural Information Processing
Systems* **13** 152-158 (2001)

Reverse
engineering of sparsely connected genetic regulatory networks (with M Wahde and
M L Andersson), **Proc 2nd Workshop on
Computation of Biochemical Pathways and Genetic Networks, Heidelberg**, 31-37
(Berlin: Logos Verlag, 2001)

Stability
of asynchronous firing states in networks with synaptic adaptation (with S
Solinas), *Neurocomputing* 38-40
915-920 (2001)

Neurons,
Networks and Cognition: an Introduction to Neural Modeling, in **Models of Neural Networks IV** (L van
Hemmen, J D Cowan and E Domany, eds), pp 1-46 (Springer, 2002)

Hebbian
imprinting and retrieval in oscillatory neural networks (with S Scarpetta and Z
Li), *Neural Computation* **14** 2371-2396 (2002)

Sensory
Coding and Information Transmission (with S Panzeri), in **Handbook of Brain Theory and Neural Networks** (M Arbib, ed, MIT
Press, 2002)

Computing
with Attractors, in **Handbook of Brain
Theory and Neural Networks** (M Arbib, ed, MIT Press, 2002)

Learning
in an oscillatory cortical model (with S Scarpetta and Z Li), **in Scaling and Disordered Systems** (F
Family, M Daoud, H J Herrmann and H E Stanley, eds, World Scientific, 2002)

Effective
dimensionality of large-scale expression data using principal component
analysis (with M Hörnqvist and M Wahde), *BioSystems*
**65** 147-156 (2002)

Embedding
a native state into a random heteropolymer model: the dynamic approach (with Z
Konkoli), *Phys Rev E* **67** 051915 (2003)

Anomalous
response variability in a balanced cortical network model (with B J Richmond
and K Nilsen), *Neurocomputing* **52-54** 787-792 (2003)

Soliton-dynamical
approach to a noisy Ginzburg-Landau model (with H Fogedby and A Svane), *Europhys Lett* **62** 795-800 (2003)

High-conductance
states in a mean-field cortical network model (with M Ahmadi and A Lerchner), *Neurocomputing* **58-60** 935-940 (2004)

Domain
wall propagation and nucleation in a metastable two-level system (with H C
Fogedby and A Svane), *Phys Rev E* **70** 031105 (2004)

Response
variability in balanced cortical networks (with A Lerchner, C Ursta, M Ahmadi,
P Ruffiot and S Enemark), *Neural
Computation, ***18 **634-659 (2006)

Mean
field methods for cortical network dynamics (with A Lerchner and M Ahmadi), pp
71-89 in in *Computational Neuroscience: Cortical Dynamics* (Proceedings Erice
School on Cortical Dynamics), P Érdi, A Esposito, M Marinaro and S Scarpetta,
eds (Springer, 2004)

Mean
field theory for a balanced hypercolumn model of orientation selectivity in
primary visual cortex (with A Lerchner, G Sterner and M Ahmadi), *Network: Computation in Neural Systems ***17** 131-150* *(2006)

Cross-correlations
in a high-conductance state of a model cortical network, *Neural Computation, *in review (2008)

The Ising Model for Neural Data: Model Quality and
Approximate Methods for Extracting Functional Connectivity (with Y Roudi and J
Tyrcha)

*Phys
Rev E, *in review, preprint available at http://arxiv.org/abs/0902.2885 (2009)

Pairwise models of neural spike trains (with Y Roudi
and E Aurell), in preparation, to be submitted to Frontiers in Computational
Neuroscience (2009)