Publications

• Publications in Journals


• Submitted Articles and Preprints


• Publications in Books and Conference Proceedings


• Articles in Preparation (Preliminary Titles)


• Academic Theses


• Reports

• Publications in Journals (back to top)

  1. N. Ay, N. Bertschinger, R. Der, F. Guettler, E. Olbrich. Predictive Information and Explorative Behavior of Autonomous Robots.
     European Physical Journal B - Condensed Matter and Complex Systems, 63 (2008) 329 - 339. pdf-file
  
  
  2. E. Olbrich, N. Bertschinger, N. Ay, J. Jost. How should complexity scale with system size?
     European Physical Journal B 63 (2008) 407-415. pdf-file
  
  
  3. N. Ay. A Refinement of the Common Cause Principle.
     Discrete Applied Mathematics (2008), article in press, doi:10.1016/j.dam.2008.06.032. pdf-file
  
  
  4. N. Ay, D. Polani. Information Flows in Causal Networks.
     Advances in Complex Systems 11 (1) (2008) 17-41. pdf-file
  
  
  5. N. Bertschinger, E. Olbrich, N. Ay, J. Jost. Autonomy: an Information-Theoretic Perspective.
     BioSystems 91 (2). Special issue: Modelling Autonomy (guest editors: X. Barandiaran, K. Ruiz-Mirazo) (2008) 331-345.
  
  
  6. N. Ay, D.C. Krakauer. Geometric Robustness Theory and Biological Networks.
     Theory in Biosciences (2007) 93-121. pdf-file
  
  
  7. J. Jost, N. Bertschinger, E. Olbrich, N. Ay. An information-theoretic approach to system differentiation on the basis of statistical dependencies between subsystems.
     Physica A 378 (2007) 1-10.
  
  
  8. N. Ay, A. Knauf. Maximizing Multi-Information.
     Kybernetika 42 (5) (2007) 517-538. pdf-file
  
  
  9. N. Ay, J.C. Flack, D.C. Krakauer. Robustness and Complexity Co-constructed in Multi-modal Signaling Networks.
     Philos Trans R Soc Lond B Biol Sci (2007) 441-447.
  
  
  10. T. Wennekers, N. Ay, P. Andras. High-Resolution Multiple-Unit EEG in Cat Auditory Cortex Reveals Large Spatio-Temporal Stochastic Interactions.
      BioSystems 89 (2007) 190-197.
  
  
  11. N. Ay. Information geometry on complexity and stochastic interaction.
      To appear in IEEE Transactions on Information Theory (2005). pdf-file
  
  
  12. T. Wennekers, N. Ay. A Temporal Learning Rule in Recurrent Systems Supports High Spatio-Temporal Stochastic Interactions.
      Neurocomputing 69 (2006) 1199-1202.
  
  
  13. N. Ay, J.P. Crutchfield. Reductions of Hidden Information Sources.
      Journal of Statistical Physics 120 (3-4) (2005) 659-684. pdf-file
  
  
  14. T. Wennekers, N. Ay. Finite State Automata Resulting from Temporal Information Maximization.
      Neural Computation 17 (2005) 2258-2290. pdf-file
  
  
  15. N. Ay, I. Erb. On a Notion of Linear Replicator Equations.
      Journal of Dynamics and Differential Equations 17 (2005) 427-451. pdf-file
  
  
  16. T. Wennekers, N. Ay. Stochastic Interaction in Associative Nets.
      Neurocomputing 65-66 (2005) 387-392.
  
  
  17. I. Erb, N. Ay. Multi-information in the Thermodynamic Limit.
      Journal of Statistical Physics 115 (2004) 967-994. pdf-file
  
  
  18. T. Wennekers, N. Ay. Spatial and Temporal Stochastic Interaction in Neural Assemplies.
      Theory Biosci. 122 (2003) 5-18.
  
  
  19. N. Ay, W. Tuschmann. Duality versus Dual Flatness in Quantum Information Geometry.
      Journal of Mathematical Physics 44 (4) (2003) 1512-1518. pdf-file
  
  
  20. N. Ay, T. Wennekers. Temporal Infomax Leads to Almost Deterministic Dynamical Systems.
      Neurocomputing 52-54 (2003) 461-466.
  
  
  21. T. Wennekers, N. Ay. Temporal Infomax on Markov Chains with Input Leads to Finite State Automata.
      Neurocomputing 52-54 (2003) 431-436.
  
  
  22. N. Ay, T. Wennekers. Dynamical Properties of Strongly Interacting Markov Chains.
      Neural Networks 16 (2003) 1483-1497. pdf-file
  
  
  23. N. Ay. An Information-Geometric Approach to a Theory of Pragmatic Structuring.
      The Annals of Probability 30 (2002) 416-436. pdf-file
  
  
  24. N. Ay, W. Tuschmann. Dually Flat Manifolds and Global Information Geometry.
      Open Syst. & Information Dyn. 9 (2002) 195-200. pdf-file
  
  
  25. N. Ay. Locality of Global Stochastic Interaction in Directed Acyclic Networks.
      Neural Computation 14 (12) (2002) 2959-2980. pdf-file
  
  
  26. W. Wenzel, N. Ay, F. Pasemann. Hyperplane Arrangements Separating Arbitrary Vertex Classes in n-Cubes.
      Advances in Applied Mathematics 25 (2000) 284-306. pdf-file



• Submitted Articles and Preprints (back to top)

  1. B. Steudel, N. Ay. Inferring common roots from high multi-information.
     IEEE Transactions on Information Theory, submitted.
  
  
  2. T. Kahle, W. Wenzel, N. Ay. Hierarchical models, marginal polytopes, and linear codes.
     pdf-file
  
  
  3. T. Kahle, E.Olbrich, J. Jost, N. Ay. Complexity Measures from Interaction Structures.
     Submitted. pdf-file
  
  
  4. W. Loehr, N. Ay. On the Generative Nature of Prediction.
     Advances in Complex Systems, submitted. pdf-file
  
  
  5. Y. Sato, N. Ay. Adaptive Dynamics for Interacting Markovian Processes.
     Physical Review E, submitted. pdf-file
  
  
  6. T. Wennekers, N. Ay. Information-Theoretic Grounding of Finite Automata in Neural Systems.
     Preprint 52/2002, Max Planck Institute for Mathematics in the Sciences. pdf-file



• Publications in Books and Conference Proceedings (back to top)

  1. W. Loehr, N. Ay. Non-sufficient memories that are sufficient for prediction.
     Submitted to Complex'2009, Shanghai, China.
  
  
  2. R. Der, F. Guettler, N. Ay. Predictive information and emergent cooperativity in a chain of mobile robots.
     Proceedings ALifeXI, MIT Press, 2008.
  
  
  3. T. Kahle, N. Ay. Support Sets of Distributions with Given Interaction Structure.
     Proceedings of WUPES'06 (2006), in press. Santa Fe Institute Working Paper 06-08-027. pdf-file
  
  
  4. N. Ay, E. Olbrich, N. Bertschinger, J. Jost. A Unifying Framework for Complexity Measures of Finite Systems.
     Proceedings of ECCS'06, in press. Santa Fe Institute Working Paper 06-08-028. pdf-file
  
  
  5. N. Bertschinger, E. Olbrich, N. Ay, J. Jost. Information and Closure in Systems Theory.
     Proceedings of GWAL-7 (2006) 9-19.
  
  
  6. F. Matús, N. Ay. On maximization of the information divergence from an exponential family.
     Proceedings of WUPES'03 (ed. J. Vejnarova), University of Economics Prague, (2003) 199-204. pdf-file



• Articles in Preparation (Preliminary Titles) (back to top)

  1. With J. Flack, T. Kahle, D. Krakauer. Structural perturbations versus state space interventions.
  
  
  2. — M. Mueller, A. Szkola. Effective complexity and its relation to logical depth.
  
  
  3. — M. Mueller, A. Szkola. Effective complexity of ergodic processes.
  
  
  4. — A. Knauf, S. Weis. Maximization of the distance from an exponential family within the quantum-mechanical setting.
  
  



• Academic Theses (back to top)

  1. A Combinatorial Geometric Approach to the Hopfield Model.
     Diploma Thesis (in German), Ruhr University Bochum (1996).
  
  
  2. Aspects of a Theory of Pragmatic Information Structuring.
     Dissertation (in German), University of Leipzig (2001).



• Reports (back to top)

  1. N. Ay. Principles of Robustness (in German).
     Annual Report of the Max Planck Society (2006). pdf-file
  
  
  2. N. Ay, T. Wennekers. Complexity of Cognitive Systems (in German).
     Annual Report of the Max Planck Society (2003). pdf-file