Generic Complexity

Vision (reconstructing 3D bodies from 2D moving points)

Multiplicative Random
Walks, Lotka-Volterra systems, Returns

Distributions and Pareto Laws

Artificial Creativity and Novelty Emergence

Agent Based Simulations of Stock Markets

Cognitive Science

Global Propagation by Local Rules

Emergence and Patterns in Stochastic Autocatalytic Systems

Generic Complexity

• The Microscopic Representation of Complex Macroscopic Phenomena, S. Solomon, Annual Reviews of Computational Physics II, pp 243-294, editor D. Stauffer, World Scientific 1995.
• Collective Degrees of Freedom and Multiscale Dynamics in Spin Glasses, N. Persky and S.Solomon, Phys. Rev. E. 54, (1996) 4399;
• N. Persky and S. Solomon, Macros and multiscale dynamics in spin glasses cond-mat/9603056 S. Solomon, TheMicroscopic Representation of Complex Macroscopic Phenomena", Annual Reviews of Computational Physics II, (D. Stauffer, Ed)pp. 243-294, 1995
• Complexity a Science at 30, S. Solomon and E. Shir, Europhysics News, Feb-March 2003, p54

Vision (reconstructing 3D bodies from 2D moving points)

• Restricted Ability to Recover 3D Global Motion from 1 D Motion Signals: Theoretical Observations, N. Rubin, S. Hochstein and S. Solomon, Vision Research 35, (1995) 569-578.
• Restricted Ability to Recover 3D Global Motion from 1 D Motion Signals: Psychophysical Observations, N. Rubin, S. Hochstein and S. Solomon, Vision Research 35, (1995) 463-476.
• The Microscopic Bases of Vision, S. Solomon, in Perspectives on Cognitive Science, vol. 2, ed. B. Kokinov (NBU 1995)

Multiplicative Random Walks, Lotka-Volterra systems, Returns

Distributions and Pareto Laws

• Dynamical Explanation for the Emergence of Power Law in a Stock Market Model, M. Levy and S. Solomon, International Journal of Modern Physics C, Vol. 7, No. 1 (1996) 65-72
• Power Laws are Logarithmic Boltzmann Laws, M. Levy and S. Solomon International Journal of Modern Physics C, Vol. 7, No. 4 (1996) 595.
• Spontaneous Scaling Emergence in Generic Stochastic Systems, S. Solomon and M. Levy International Journal of Modern Physics C, Vol. 7, No. 5 (1996) 745;
• Power-law distributions and Lévy-stable intermittent fluctuations in stochastic systems of many autocatalytic elements, O. Malcai O. Biham and S. Solomon, Phys. Rev. E, 60, 1299 (1999).
• New Evidence for the Power Law Distribution of Wealth, M. Levy and S. Solomon Physica A, 242 (1997) 90. postscript version
• Generic emergence of power law distributions and Lévy-stable intermittent fluctuations in discrete logistic systems, O. Biham, O. Malcai, M. Levy and S. Solomon, Phys. Rev. E 58, 1352 (1998).
• Stochastic Lotka-Volterra Systems of Competing Auto-catalytic Agents lead Generically to Truncated Pareto Power Wealth Distribution, Truncated Levy Distribution of Market Returns, Clustered Volatility, Booms and Crashes, S. Solomon, in Decision Technologies for Computational Finance, edited by A.-P. Refenes, A. N. Burgess, and J. E. Moody (Kluwer Academic Publishers, 1998).
• Generalized Lotka Volterra (GLV) Models of Stock Markets, S. Solomon, pp 301-322 in Applications of Simulation to Social Sciences, Eds: G Ballot and G Weisbuch; Hermes Science Publications 2000
• Power laws in cities population, financial markets and internet sites (scaling in systems with a variable number of components), Aharon Blank and Sorin Solomon, Physica A 287 (1-2) (2000) pp.279-288
• Power, Lévy, exponential and Gaussian-like regimes in autocatalytic financial systems, Z.F. Huang and S. Solomon, Eur. Phys. J. B 20, (2001) 601-607
• Finite market size as a source of extreme wealth inequality and market instability, Zhi-Feng Huang and Sorin Solomon, Physica A, 294 (3-4) (2001) pp. 503-513
• Long-time fluctuations in a dynamical model of stock market indices, Ofer Biham, Zhi-Feng Huang, Ofer Malcai and Sorin Solomon Phys. Rev. E 64, 026101 (2001)
• Stochastic Multiplicative Processes for Financial Markets, Zhi-Feng Huang and Sorin Solomon, Physica A 306 (2002) 412-422
• Stability of Pareto-Zipf law in non-stationary economies, S. Solomon and P. Richmond in: Economics with heterogeneous interacting agents, ed. by A.Kirman and J.B. Zimmermann, Lecture Notes in Economics and Mathematical Systems, Springer, Berlin- Heidelberg 2001 page 141
• Power Laws of Wealth, Market Order Volumes and Market Returns, Sorin Solomon, Peter Richmond Physica A: Statistical Mechanics and its Applications, Vol. 299 (1-2) (2001) pp. 188-197
• Power Laws are disguised Boltzmann Laws, Peter Richmond, Sorin Solomon, International Journal of Modern Physics C, Vol. 12, No. 3 (2001) 333-343
• Self-Organization and Non-Self-Averaging Effects in Systems of Discrete Auto-Catalytic Elements, S. Solomon, pp 351-360 in Multiscale Computational Methods in Chemistry and Physics eds. A. Brandt, J. Bernholc and K. Binder, IOS Press 2001; NATO Science Series III: computer and Systems Sciences Vol. 177.
• Volatility driven markets in a generalized Lotka Voltera formalism, Louzoun. Y. Solomon. S. (2001). Physica A 302 220-233
• Theoretical analysis and simulations of the generalized Lotka-Volterra model, O. Malcai, O. Biham, P. Richmond and S. Solomon, Phys. Rev. E66, 031102 (2002).
• Co-Evolutionist Stochastic Dynamics: Emergence of Power-LawsPower-laws in stochastic Lotka-Volterra-Eigen-Schuster Systems, S. Solomon, P. Richmond, O. Biham and O. Malcai, in: Towards Cognitive Economics, Eds: P. Bourgine and J.-P. Nadal, Springer (2003).

Artificial Creativity and Novelty Emergence

• Creative Sparks, Jacob Goldenberg, David Mazursky, and Sorin Solomon Science 285: 1495-1496, 1999
• Toward Identifying the Inventive Templates of New Products: A Channeled Ideation Approach, Goldenberg Jacob, David Mazursky, and Sorin Solomon (1999), Journal of Marketing Research, 36 (May), p. 200-210.
• Meme's the Word, Jacob Goldenberg, David Mazursky, and Sorin Solomon Science 1999 November 19; 286: 1477
• Templates of original innovation: Projecting original incremental innovations from intrinsic information Goldenberg J. Mazursky D. Solomon S., (1999) Technological Forecasting and Social Change, May, Vol. 61/1 P. 1-12.
• Creativity Templates: Towards Identifying the Fundamental Schemes of Quality Advertisements, Goldenberg J. Mazursky D. Solomon S. Marketing Science, Volume 18, Number 3, 1999
• Scrutinizing Creativity, Dennis Hollenberg;, Jacob Goldenberg, David Mazursky, and Sorin Solomon Science 1999 December 17; 286: 2269

Agent-Based Simulations of Stock Markets

• Microscopic Simulation of the Stock Market M. Levy, H. Levy and S. Solomon, Journal de Physique I France 5 (1995) 1087-1103.
• A microscopic model of the stock market; Cycles, booms and crashes, M. Levy, H. Levy and S. Solomon, Economics Letters 45 (1994) 103-111.
• The Complex Dynamics of a Simple Stock Market Model, M. Levy, N. Persky and S. Solomon Int. J. of High Speed Computing 8 (1996) 93 postscript version
• Behaviorally realistic simulations of stock markets; Traders with a soul, Computer, Solomon S. Physics Communications 121-122 (1999) 161 .
• Pioneers on a new continent: on physics and economics, Sorin Solomon and Moshe Levy, Quantitative Finance (IoP) Volume 3, Number 1, C12 February 2003
• The Interacting Gaps Model: Reconciling Theoretical and Numerical Approaches to Limit-Order Models, L. Muchnik, F. Slanina, and S. Solomon, Physica A 330 (2003) 232.
• Statistical Mechanics of Conventional Traders May Lead to Non-Conventional Market Behavior, Lev Muchnik and Sorin Solomon Physica Scripta, Vol. T106, 41, 2003
• An updated Review of the LLS Stock Market Model: Complex Market Ecology, Power Laws in Wealth Distribution and Market Returns, Sorin Siolomon and Moshe Levy, p69, in New Directions in Statistical Physics, ed. Luc Wille, Springer-Verlag (2004) 1

Cognitive Science

• The Dynamics of Childrens's Drawings, E. Adi, I. Levin and S. Solomon, in Perspectives on Cognitive Science, vol. 2, ed. B. Kokinov (NBU 1995)
• Emergence of Representation in Drawing: The Relation Between Kinematic and Referential Aspects, Ester Adi-Japha, Iris Levin and S. Solomon Cognitive Development 13, 25-51 (1998)
• What Are Stories Made Of Quantitative Categorical Deconstruction of Creation, Y. Stolov, M. Idel, S. Solomon, International Journal of Modern Physics C, Vol. 11, No. 4 (2000) 827-835
• Structures of the Mind and Universal Music, Jacob Goldenberg, David Mazursky, and Sorin Solomon, Science 2001 June 29; 292: 2433

Global Propagation by Local Rules

• Marketing percolation, J. Goldenberg, B. Libai, S. Solomon, N. Jan and D. Stauffer, Physica A, 284 (1-4) (2000) pp. 335-347
• Social percolation models, Sorin Solomon, Gerard Weisbuch, Lucilla de Arcangelis, Naeem Jan, Dietrich Stauffer, Physica A: 277 (1-2) (2000) pp. 239-247; postscript version
• Self-organized percolation and critical sales fluctuations, Weisbuch G, Solomon S, Int. J. Mod. Phys. C 11: (6) 1263-1272 SEP 2000 postscript version
• Social Percolators and Self Organized Criticality, in Handbook of Graphs and Networks: From the Genome to the Internet, pp.113-132 eds. S. Bornholdt and H. G. Schuster, Wiley-VCH Berlin, 2002
• Solving Traffic Jams: Human Intervention or Self-Organization? E. Mar Or, E. Shir and S. Solomon, International Journal of Modern Physics, Vol. 14, No. 8 p 1007

Emergence and Patterns in Stochastic Autocatalytic Systems

• The importance of being discrete: Life always wins on the surface, Nadav M. Shnerb, Yoram Louzoun, Eldad Bettelheim, and Sorin Solomon, Proc. Natl. Acad. Sci. USA, Vol. 97, Issue 19, 10322-10324, September 12, 2000
• Adaptation of Autocatalytic Fluctuations to Diffusive Noise, N. M. Shnerb, E. Bettelheim, Y. Louzoun, O. Agam, S. Solomon, Phys Rev E Vol 63, No 2, 2001
• HIV time hierarchy: winning the war while, loosing all the battles, Uri Hershberg, Yoram Louzoun, Henri Atlan and Sorin Solomon, Physica A, 289 (1-2) (2001) pp. 178-190
• The Emergenceof Spatial Complexity in the immune System, Louzoun, Y, Solomon. S., Atlan. H., Cohen.I.R. (2001), Physica A, 297 (1-2) pp. 242-252.
• The risk of being unfair, the unstable fate of globalization, Louzoun. Y. Mazurski. D., Goldberg. J. Solomon. S. (2003), Artificial Life 4(9) 357 - 370
• Innovations Refuse to Die:-The Unforeseen Longevity of Society Fundamental Ideas, Mazurski. D., Goldberg. J. Barak.L. Louzoun. Y. Solomon. S., (2003) Technological forecasting and Social Change In press
• Proliferation and competition in discrete biological systems, Louzoun, Y., Atlan, H., Solomon. S., Cohen, I.R, (2003) Bulletin of mathematical biology 65(3) 375-396
• Reactive Glass and vegetation patterns, N.M. Shnerb, P. Sarah, H. Lavee and S. Solomon, Phys. Rev. Lett. 90 0381011 (2003)