Publications:

Publications: Ayşe Erzan

C – Editorship of published conference proceedings

A - ARTICLES

1. Ayse Erzan and George Stell, "Isotropic Lifshitz Point in 2 < d < 4 Dimensions,” Phys. Rev. B16, 4146 (1977)

2. Ayse Erzan and George Stell, "Thermodynamic Properties of Permanent Dipoles on a Lattice" Phys. Rev. B18, 408 (1978)

3. Ayse Erzan, "Recent Developments in Statistical Mechanics: Phase Transitions in Lower Dimensional Systems,” review article, Cagdas Fizik (Istanbul), May 1979.

4. Ayse Erzan, "Electrical Resistivity of an Exactly Solvable Random Model Exhibiting a Smeared Phase Transition,” J. Phys. C 15, 2173(1982)

5. A. Erzan, "Resistive Anomalies in Random Systems,” Preprint UGVA-DPT 1981/12-329 unpublished.

6. B.Derrida, J.-P. Eckmann, A.Erzan, "Renormalization Group Transformations with Periodic and Aperiodic Orbits," J. Phys. A 16, 893 (1983)

7. A. Erzan, "Hierarchical q-state Potts Models with Periodic and Aperiodic Renormalization Group Trajectories,” Phys. Lett. 93A, 237 (1983)

8. A. Erzan and E.J.S. Lage, "The Infinite Ranged Potts Spin Glass Model,” J. Phys C 16, L555 (1983).

9. E.J.S. Lage and A. Erzan, "Mixed Phase for the Infinite Ranged Potts Spin Glass" , J. Phys. C 16 L873 (1983).

10. A. Erzan, "Frustrated Spin Systems," review article, Portugal. Phys. 15 9-54 (1984), 139-141 (1984).

11. A. Erzan, "Phase Transitions in the Gauge Invariant Random Potts Model," J. Phys. A 18, 2247 (1985)

12. A. Erzan, S. Grossmann and A. Hernandez Machado, "Diffussion on Random Hierarchical Structures," J. Phys. A 20 , 3913 (1987)

13. L. Pietronero, A. Erzan, C. Evertsz, "Theory of Fractal Growth," Phys. Rev. Lett. 61, 861(1988)

14. L. Pietronero, A. Erzan, C. Evertsz, "Theory of Laplacian Fractals: Diffusion Limited Aggregation and Dielectric Breakdown Model," Physica (Netherlands) A51, 207 (1988)

15. A. Siebesma, R.R. Trembley, A. Erzan ve L. Pietronero, "Multifractal Cascades with Interactions," Physica A156, 613 (1989)

16. A. Erzan, E. Veermans, R. Hijungs and L. Pietronero, "Glassy Dynamics of Pinned Charge Density Waves," Phys.Rev.B 41 ,11522 (1990)

17. E. Veermans, A. Erzan, R. Hijungs and L. Pietronero, "Dynamics of Pinned Charge Density Waves: Numerical Simulations,” Physica A166, 447 (1990)

18. A. Erzan and L. Pietronero, " Fixed Scale Tranformation for Ising and Potts Clusters" J. Phys. A24, 1875 (1991)

19. A. Erzan and S. Sinha, "Spatio-temporal Intermittency on the Sandpile,” Phys. Rev. Lett. 66 2750 (1991)

20. A. Erzan, "Fixed Scale Transformation Approach to Critical Fluctuations and Fractal Growth,” Physica A185, 66 (1992)

21. A. Erzan and L. Pietronero, "Fixed Scale Transformation for Directed Percolation,” Europhys. Lett. 20, 595 (1992).

22. H. Kaya, A.Erzan, F. Kadirgan, "Universality in surface catalysis with diffusion,” J. Chem. Phys., 98, 9030 (1993).

23. H. Kaya and A. Erzan, “Reactant clustering in heterogenous catalysis with surface diffussion" Surface Science, 320, 185 (1994).

24. M. Hüner and A. Erzan, "Fixed Scale Transformation approach to spatio-temporal intermittency in coupled map lattices,” Physica A 212, 314 (1994).

25. A. Erzan, "Vortex tube formation and the "subcritical scenario" for non Kolmogorov scaling in turbulance,” Bull. Tech. Univ. Ist. (Special issue: Suhubi and Continuum Mechanics) 47, 303 (1994).

26. A. Erzan, L.Pietronero and A. Vespignani, "The Fixed Scale Transformation Approach to Fractal Growth,” Rev. Mod. Phys. 67, 545 (1995).

27. A. Erzan and N. Güngör, "Fractal Geometry and Size Distribution of Clay Particles,” Jour. Colloid and Interface Sci. 176, 301(1995).

28. M. Canpolat, A. Erzan, Ö. Pekcan, "Reptation of a Polymer Chain by Conformal Transitions in the Entangled Regime,” Phys. Rev. E 52, 6904 (1995)

29. A. Gorbon and A. Erzan, " Multiscaling of the Graph Length in Coupled Map Lattices,” J. Phys. A (Mathematical and General) 30, 785 (1997).

30. A. Erzan, "Finite q-differences and the discrete renormalization group," Phys. Lett. A 225, 235 (1997).

31. A. Erzan and J.-P. Eckmann, "q-analysis of fractal sets," Phys. Rev. Lett. 78, 3245 (1997)

32. A. Gorbon and A. Erzan, "Non-commutative geometry and irreversibility, Eur. Phys. J. B, 1, 111 (1998)

33. Y. Yilmaz, A. Erzan, Ö. Pekcan, "Critical exponents and fractal dimension at the sol-gel phase transition via in situ fluorescence experiments," Phys. Rev. E 58, 7487 (1998).

34. H. Kaya and A. Erzan, "Novel Position-Space Renormalization Group Transformation for bond Directed Percolation in two dimensions," Physica A 256, 53 (1999).

35. Ö. Kayalar and A. Erzan, "Dynamics of Pinned Interfaces with Inertia," Phys. Rev.E 60, 7600 (1999).

36. H. Kaya, A. Kabakçıoğlu, A. Erzan, "Delocalisation Transition of a Rough Adsorption-Reaction Interface," Phys. Rev. E 61,1102(2000).

37. E. Tüzel and A. Erzan, "Glassy Dynamics of Protein Folding," Phys. Rev. E 61, R1040 (2000).

38. E. Tüzel and A. Erzan, "Dissipative dynamics and the statistics of energy states for a Hookean model for protein folding," J. Stat. Phys, 100, 405 (2000).

39. B. Örçal, V. Sevim, E. Tüzel, N. Jan and A. Erzan, "Testing a hypothesis for the evolution of sex,"Int. J. Mod. Phys. C 11, 973 (2000).

40. B. Örçal and A. Erzan, "Temporal and spatial correlations in a visco-elastic model of heterogeneous faults," Eur. Phys. J. B 18, 721-728 (2000)

41. C. Chisolm, N. Jan, P. Gibbs, and A. Erzan, "Self-Organized Criticality in an Asexual Model? " Int. J. Mod. Phys. C 11, 1257 (2000).

42. E. Tüzel, V. Sevim, A. Erzan, "Strategies for the Evolution of Sex, " Phys. Rev. E.64, 061908 (2001).

43. E. Tüzel, V. Sevim, A. Erzan, "Evolutionary Route to Diploidy and Sex, " Proc. Nat. Acad, Sci. (USA) 98, 13774 (2001).

44. E. Tüzel, A. Erzan, "A Thermodynamic Model for Prebiotic Protein Function, " cond-mat/0107315, Ari, 54, 19 (2004)

45. Yılmaz, Y., Erzan, A. , Pekcan, Ö., "Slow regions percolate near the glass transition," Eur. Phys. J. E 9, 135 (2002).

46. Balcan, D. , Erzan, A., "Monte Carlo Renormalization Group for Entanglement Percolation, " Physica A, 320, 25 (2003).

47. Özçelik, S. , Erzan, A., "Hamiltonian model for multidimensional epistasis, " Int. J. Mod. Phys. C 14, 169-173 (2003).

48. Erzan, A. , Kaya, H. and Kabakçıoğlu, A, "Scaling behaviour of a multiply connected fluctuating interface in two dimensions, " Fractals 11, 227-232 Suppl. S. (2003).

49. Söyler, G. , Erzan, A. , "Equilibrium correlations in an Ising model for multidimensional epistasis, " Theory Biosci. 121, 387 (2003).

51. Önder, P. and Erzan, A. , "Statistics of a hydrophobic chain near a hydrophobic boundary, " Eur. Phys. J. E. 9, 467-76 (2002).

52. Erzan, A. , and Tüzel, E., "Hydrophobic Models of Protein Folding and the Thermodynamics of Chain-Boundary Interactions, " Brazilian Jr. Phys. 33, 573-588 (2003).

53. Balcan, D. and Erzan, A. "Random model for RNA interference yields scale free network, " q-bio.GN/0310027, Eur. Phys. J. B, 38, 253-260 (2004)

54. M. Mungan, A. Kabakcioglu, D. Balcan and A. Erzan, "Analytical Solution of a Stochastic Model or Gene Regulation, " q-bio.MN/0406049, submitted for publication.

55. A.H. Bilge, A. Erzan and D. Balcan, "The shift-match Number and String matching Probabilities for Binary Sequences, " q-bio.GN/0409023.

56. Y. Sengun and A. Erzan, "Statistics of Hydrophobic Chains, " submitted to the J. Comp. Biol.

57. Y. Sengun and A. Erzan, "Hydrophoic chains near hydrophobic surfaces – simulations in three dimensions, " J. Phys.: Condensed Matter 17, S1183-S1194 (2005).

58. D. Balcan and A. Erzan, "Dynamical real-space renormalization group calculations with a new clustering scheme on random networks, " cond-mat/0408619, Phys. Rev. E. 71, 026130 (2005).

59. A. Kabakcioglu, M. Mungan, D. Balcan and A. Erzan, "Are gene regulation networks scale-free?" in preparation.

B – Articles in Conference Proceedings

1. L. Pietronero, A. Erzan and C. Evertsz, "Theory of Fractal Growth" in Prococeedings of the Les Houches meeting on Universalities in Condensed Matter, 15-24 March 1988 (Springer, Berlin).

2. A. Erzan, C. Evertsz and L. Pietronero, “Fractals in Condensed Matter,” Proc. International Workshop on the Physics Materials, 10-21 October 1988, Shenyang (P.R. China).

3. A. Erzan, C. Evertsz and L. Pietronero, “New Theoretical Methods for Fractal Growth,” in L. Pietronero ed., Fractals (Proceedings, Erice, 1988; Plenum, N.Y. 1989).

4. N. Güngör and A. Erzan, “The Fractal Properties of Clays,” Proceedings, VI. National Symposium on Clays, Bosphorus University, Istanbul, 6-11 September 1993.

5. A. Erzan “ Mechanical Properties of Fractals” Proceedings, VIII. National Mechanics Symposium, Antalya, 6-10 September 1993.

6. A. Erzan and L. Pietronero, “ Fractals and fractal growth models,” Turkish Journal of Physics (Proceedings, Recent Advances in Statistical Physics, Istanbul, 25 July- 7 August 1993) 18, 157 (1994).

7. M. Hüner, A. Erzan, “Analytical Approach to Spatiotemporal Intermittency in Coupled Map Lattices,” Tr. J. of Physics (Proceedings, 1. ITU Statistical Physics Days, 14-15 July 1994) 19, 27 (1995).

8. A. Erzan, A.Gorbon, “q-calculus and irreversible dynamics on a hierarchical lattice” Tr. J. of Physics (Proceedings, 4. ITU Statistical Physics Days, 17-18 July 1997) 23, 9 (1999).

9. A. Erzan and A. Gorbon, “Noncommutative geometry, irreversibility and log-periodicity,” (Proceedings of the IX'th symposium on Continuum Models and Discrete Systems, Istanbul, 1998) in E. Inan and K.Z. Markov eds., Continuum Models and Discrete Systems (World Scientific, Singapore, 1999).

10. A. Erzan, “Directed Percolation, The Fixed Scale Transformation and the Renormalization Group,” Proceedings of the Zanjan Summer School on Scaling in Disordered Systems,” in D. Stauffer ed., Advances in Computational Physics (World Scientific, Singapore, 2001).

11. E. Tüzel and A. Erzan, “Dissipative Dynamics and Relaxation Behaviour of a Generic Model for Hydrophobic Collapse,” Proceedings of the Zanjan Summer School on Scaling in Disordered Systems, in D. Stauffer ed., Advances in Computational Physics, (World Scientific, Singapore, 2001).

12. A. Erzan, H. Kaya, A. Kabakçıoğlu, “Scaling behaviour of a multiply connected fluctuating interface in two dimensions,” in Scaling and Disordered Systems (International Workshop and Collection of Articles Honoring Professor Antonio Coniglio on the Occasion of his 60th Birthday
Paris, France 13 - 14 April 2000) F. Family, M. Daoud, H. J. Herrmann, and H. Eugene Stanley eds. (World Scientific, Singapore, 2002).

C – Editorship of Published Conference Proceedings

1. (with Önder Pekcan) Proceedings, Recent Advances in Statistical Physics, Istanbul, 25 July- 7 August 1993, Turkish Journal of Physics 18, issue 3 (1994), guest editor.

2. Proceedings, 2. ITU Statistics Physics Days, 13-14 July 1995, Turkish Journal of Physics 20, issue 1 (1996), guest editor.

3. Proceedings, 3. ITU Statistics Physics Days, 18-19 July 1996, Turkish Journal of Physics, issue 1 (1997), guest editor.

4. Proceedings, Workshop on Vortex Dynamics and Turbulance Modeling, 2-6 September 1996, ITU, Istanbul, editor (with Olus Boratav and Alp Eden), Springer Verlag (1997).

5. (With G. Caldarelli and A. Vespignani), Special Issue of the European Physical Journal B, incorporating papers from the Midterm conference COSIN, on Coevolution and Self-Organization in Dynamical Networks, Rome, Eur. Phys. J. B, 38, No. 2 (March II 2004)