Publications

Papers (for the most up-to-date list see my Google Scholar profile)

• 1. [Get PDF] [Get CODE] E. Laurence, J.-G. Young, S. Melnik and L. J. Dubé, "Exact analytical solution of irreversible binary dynamics on networks", [arXiv:1711.02721] (2017).

  2. [Get PDF] S. Melnik and J. P. Gleeson, "Simple and accurate analytical calculation of shortest path lengths", [arXiv:1604.05521] (2016).

  3. [Get PDF] A. Faqeeh, S. Melnik, P. Colomer-de-Simón, and J. P. Gleeson, "Emergence of coexisting percolating clusters in networks", [arXiv:1508.05590] (2016).

  4. [Get PDF] T. R. Hurd, D. Cellai, H. Cheng, S. Melnik, and Q. Shao, "Illiquidity and Insolvency: a Double Cascade Model of Financial Crises" [arXiv:1310.6873] (2016).

  5. [Get PDF] P. G. Fennell, S. Melnik, and J. P. Gleeson, "The limitations of discrete-time approaches to continuous-time contagion dynamics", [arXiv:1603.01132] (2016).

  6. [Get PDF] A. Faqeeh, S. Melnik, and J. P. Gleeson, "Network cloning unfolds the effect of clustering on dynamical processes", Phys. Rev. E 91, 052807 (2015). [arXiv:1408.1294] MATLAB code for L-cloning is here.

  7. [Get PDF] P. Krejčí, H. Lamba, S. Melnik, and D. Rachinskii, "Kurzweil integral representation of interacting Prandtl-Ishlinskii operators", Discrete. Contin. Dyn. Syst. B 20, 2949 (2015).

  8. [Get PDF] S. Melnik, M. A. Porter, P. J. Mucha, and J. P. Gleeson, "Dynamics on modular networks with heterogeneous correlations", Chaos 24, 023106 (2014). [arXiv:1207.1809v2] MATLAB code and examples are here.

  9. [Get PDF] P. Krejčí, H. Lamba, S. Melnik, and D. Rachinskii, "Analytical solution for a class of network dynamics with mechanical and financial applications", Phys. Rev. E 90, 032822 (2014). [arXiv:1309.4050]

  10. [Get PDF] S. Melnik, J. A. Ward, J. P. Gleeson, and M. A. Porter, "Multi-stage complex contagions", Chaos 23, 013124 (2013). [arXiv:1111.1596v2]

  11. [Get PDF] J. P. Gleeson, S. Melnik, J. A. Ward, M. A. Porter, and P. J. Mucha, "Accuracy of mean-field theory for dynamics on real-world networks", Phys. Rev. E 85, 026106, (2012). [arXiv:1011.3710v3]

1. [Get PDF] A. Hackett, S. Melnik, and J. P. Gleeson, "Cascades on a class of clustered random networks", Phys. Rev. E 83, 056107, (2011). [arXiv:1012.3651v2]

   1. [Get PDF] A. Hackett, J. P. Gleeson, and S. Melnik, "Site percolation in clustered random networks", Int. J. Comp. Syst. Sci. 1, 25-30 (2011).

   2. [Get PDF] S. Melnik, A. Hackett, M. A. Porter, P. J. Mucha, and J. P. Gleeson, "The unreasonable effectiveness of tree-based theory for networks with clustering", Phys. Rev. E 83, 036112 (2011).

   3. [Get PDF] J. P. Gleeson, S. Melnik, and A. Hackett, "How clustering affects the bond percolation threshold in complex networks", Phys. Rev. E 81, 066114 (2010).

   4. [Get PDF] J. P. Gleeson and S. Melnik, "Analytical results for bond percolation and k-core sizes on clustered networks", Phys. Rev. E 80, 046121 (2009). [arXiv:0811.4511v2]

   5. [Get PDF] S. Melnik, O. Rasskazov, and G. Huyet, "A Route to Robust Double Pulse Excitability in Optically Injected Semiconductor Lasers", J. Phys. Conf. Ser. 138, 012014 (2008).

   6. [Get PDF] D. Goulding, S. Melnik, D. Curtin, T. Piwonski, J. Houlihan, J. P. Gleeson and G. Huyet, "Kramers' Law for a Bistable System with Time-Delayed Noise", Phys. Rev. E. 76, 031128 (2007).

   7. [Get PDF] D. Goulding, S. P. Hegarty, O. Rasskazov, S. Melnik, M. Hartnett, G. Greene, J. G. McInerney, D. Rachinskii, and G. Huyet, "Excitability in a Quantum Dot Semiconductor Laser with Optical Injection", Phys. Rev. Lett. 98, 153903 (2007).

   8. [Get PDF] S. Melnik, G. Huyet, A.V. Uskov, "The Linewidth Enhancement Factor Alpha of Quantum Dot Semiconductor Lasers", Opt. Express 14, 2950-2955 (2006).

Conference Presentations

• 1. S. Melnik, J. P. Gleeson, "Analytical approach to calculating shortest path lengths on networks", Summer Solstice’15: 7th International Conference on Discrete Models of Complex Systems, June 17-19, 2015, Fields Institute, Toronto, Canada.

  2. S. Melnik, J. P. Gleeson, "Analytical calculation of shortest path lengths on networks", NetSci’15: International School and Conference on Network Science, June 1-5, 2015, Zaragoza, Spain.

  3. A. Faqeeh, S. Melnik, J. P. Gleeson, "L-cloning for the analysis of network clustering", CompleNet’15: 6th International Workshop on Complex Networks, March 25-27, 2015, New York City, USA.

  4. S. Melnik, M. A. Porter, P. J. Mucha, J. P. Gleeson, "Cascades on heterogeneous networks of networks", CompleNet’15: 6th International Workshop on Complex Networks, March 25-27, 2015, New York City, USA.

  5. S. Melnik, M. A. Porter, P. J. Mucha, and J. P. Gleeson, “Dynamics on Modular Networks with Heterogeneous Correlations”, International School and Conference on Network Science (NetSci'14), June 2-6, 2014, Berkeley, CA, USA.

  6. S. Melnik, M. A. Porter, P. J. Mucha, and J. P. Gleeson, “Modular Networks with Heterogeneous Correlations”, Workshop on Time-Dependent and Multiplex Networks (TDMN'13), July 8-9, 2013, University of Oxford, Oxford, UK.

  7. S. Melnik, M. A. Porter, P. J. Mucha, and J. P. Gleeson, “Dynamics on Modular Networks with Heterogeneous Correlations”, SIAM Conference on applications of dynamical systems (DS'13), May 19-23, 2013, Snowbird, Utah, USA.

  8. S. Melnik, J. A. Ward, J. P. Gleeson, and M. A. Porter, “A multi-stage model of social contagion on complex networks”, (invited) Workshop on Self-Organization, Emergence and Nonlinearity in Physical, Natural and Social Systems (CORE'11), October 21-23, 2011, NUI Galway, Ireland.

  9. S. Melnik, J. A. Ward, J. P. Gleeson, and M. A. Porter, “Multi-stage cascades on networks”, European Conference on Complex Systems (ECCS’11), September 12-16, 2011, Vienna, Austria.

  10. S. Melnik, J. A. Ward, J. P. Gleeson, and M. A. Porter, “Multi-stage complex contagions”, International Conference on Statistical Physics (SigmaPhi’11), July 11-15, 2011, Larnaca, Cyprus.

  11. S. Melnik, A. Hackett, M. A. Porter, P. J. Mucha, and J. P. Gleeson, "The unreasonable effectiveness of tree-based theory for bond percolation on networks with clustering", European Conference on Complex Systems (ECCS'10), September 13-17, 2010, Lisbon, Portugal. Best Paper Awards, 2nd prize.

  12. S. Melnik, A. Hackett, M. A. Porter, P. J. Mucha, and J. P. Gleeson, "The unreasonable effectiveness of tree-based theory for networks with clustering", poster presentation. International School and Conference on Network Science (NetSci'10), May 10-14, 2010, Boston, MA, USA.

  13. J. P. Gleeson, S. Melnik and A. Hackett. "How clustering affects a network’s bond percolation threshold", poster presentation. International School and Conference on Network Science (NetSci'10), May 10-14, 2010, Boston, MA, USA.

  14. A. Hackett, J. P. Gleeson, and S. Melnik. "Percolation in a class of clustered random networks", poster presentation. International School and Conference on Network Science (NetSci'10), May 10-14, 2010, Boston, MA, USA.

  15. S. Melnik and J. P. Gleeson, "Analyzing the impact of network clustering on bond percolation and k-core sizes", The 6th European Conference on Complex Systems (ECCS'09), September 21-25, 2009, Warwick, UK

  16. S. Melnik and J. P. Gleeson, “Analytical results for bond percolation on clustered random networks”, International Workshop and Conference on Complex Networks and their Applications (NetSci’09), June 29-July 03, 2009, Venice, Italy

  17. S. Melnik and J. P. Gleeson, "Analytical approach to bond percolation on clustered networks", International Workshop on Complex Networks (CompleNet’09), May 26-27, 2009, Catania, Italy

  18. S. Melnik and J. P. Gleeson, “Cascades on random networks”, poster presentation, The 5th European Conference on Complex Systems (ECCS'08), September 14-19, 2008, Jerusalem, Israel

  19. J. P. Gleeson and S. Melnik, “Cascades on correlated and modular networks”, International Workshop and Conference on Network Science (NetSci’08), June 23-27, 2008, Norwich, UK

  20. G. Huyet, D. Goulding, S Melnik, O. Rasskazov, S. P. Hegarty, D. Rachinskii, "Instabilities in quantum dot semiconductor lasers at 1.3 micron", Invited Presentation, CLEO EUROPE IQEC 2007, June 17-22, Munich, Germany

  21. D. Goulding, S. P. Hegarty, S. Melnik, M. Hartnett, J. G. McInerney, G. Huyet, "Excitability in a quantum dot semiconductor laser with optical injection", 6468-33, Photonics West 2007, January 20-25, San Jose, California, USA

  22. G. Huyet, D. Goulding, S. P. Hegarty, S. Melnik, O. Rasskazov, and D. Rachinskii, "Excitability of an injected quantum dot laser", Workshop "Nonlinear Dynamics in Semiconductor Lasers", November 19-21, 2007, Berlin, Germany

  23. D. Goulding, S. P. Hegarty, S. Melnik, M. Hartnett, J. G. McInerney, G. Huyet, "Injection Locking of 1320 nm Quantum-Dot Lasers",· CThGG3, CLEO/QELS 2006, May 21-26, Long Beach, California, USA

  24. Y. Chu, M. G. Thompson, R. V. Penty, I. H. White, S. Melnik, S. P. Hegarty, G. Huyet, F. Hopfer, M. Laemmlin, D. Bimberg, A. R. Kovsh, "1.3 micron Quantum Dot Laser Linewidth Rebroadening", CThX3, CLEO/QELS 2006, May 21-26, Long Beach, California, USA

  25. D. Goulding, S. P. Hegarty, S. Melnik, M. Hartnett, J. G. McInerney, G. Huyet, "An Excitable Laser", Multi-Rate Processes & Hysteresis MURPHYS 2006, April 3-8 2006, Cork, Ireland

  26. S. P. Hegarty, S. Melnik, G. Huyet, "Phase-amplitude coupling of quantum dot lasers", Invited Presentation, paper 6184-42, 06/04/2006, Photonics Europe 2006, April 3-7 2006, Strasbourg, France

  27. S. Melnik, G. Huyet, A. V. Uskov, "Phase-amplitude coupling of semiconductor quantum dot lasers", poster presentation, EA-14-MON, CLEO EUROPE EQEC 2005, June 12-17 2005, Munich, Germany

  28. A. V. Uskov, E. P. O'Reilly, G. Huyet, S. Melnik, D. O'Brien, "Theory of nonlinear gain due to spectral hole burning in quantum dot semiconductor lasers", paper 5628-12 (invited), Photonics Asia 2004, November 8-12 2004, Beijing, China

  29. G. Huyet, D. O'Brien, S. P. Hegarty, J. Houlihan, O. Caroll, S. Melnik, J. Muszalski and A. V. Uskov, "Quantum dot semiconductor lasers: linewidth enhancement factor and sensitivity to external optical feedback", European Semiconductor Laser Workshop, Sep. 3-4 2004, Saro, Gotenburg, Sweden

  30. S. Melnik, D. O'Brien, S. P. Hegarty, G. Huyet and A. V. Uskov, "Carrier capture dynamics in quantum dot lasers and the implications for modulation bandwidth", poster presentation, Emerging Technologies in Optical Sciences 2004, July 26-29 2004, Cork, Ireland