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You searched for +publisher:"University of North Texas" +contributor:("Gross, Gunter"). Showing records 1 – 2 of 2 total matches.

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University of North Texas

1. Hollingshad, Nicholas W. A Non-equilibrium Approach to Scale Free Networks.

Degree: 2012, University of North Texas

Many processes and systems in nature and society can be characterized as large numbers of discrete elements that are (usually non-uniformly) interrelated. These networks were long thought to be random, but in the late 1990s, Barabási and Albert found that an underlying structure did in fact exist in many natural and technological networks that are now referred to as scale free. Since then, researchers have gained a much deeper understanding of this particular form of complexity, largely by combining graph theory, statistical physics, and advances in computing technology. This dissertation focuses on out-of-equilibrium dynamic processes as they unfold on these complex networks. Diffusion in networks of non-interacting nodes is shown to be temporally complex, while equilibrium is represented by a stable state with Poissonian fluctuations. Scale free networks achieve equilibrium very quickly compared to regular networks, and the most efficient are those with the lowest inverse power law exponent. Temporally complex diffusion also occurs in networks with interacting nodes under a cooperative decision-making model. At a critical value of the cooperation parameter, the most efficient scale free network achieves consensus almost as quickly as the equivalent all-to-all network. This finding suggests that the ubiquity of scale free networks in nature is due to Zipf's principle of least effort. It also suggests that an efficient scale free network structure may be optimal for real networks that require high connectivity but are hampered by high link costs. Advisors/Committee Members: Grigolini, Paolo, Gross, Gunter, Krokhin, Arkadii, Mikler, Armin R..

Subjects/Keywords: Complexity; complex networks; scale free networks; network efficiency; networks; network dynamics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Hollingshad, N. W. (2012). A Non-equilibrium Approach to Scale Free Networks. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc149609/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Hollingshad, Nicholas W. “A Non-equilibrium Approach to Scale Free Networks.” 2012. Thesis, University of North Texas. Accessed October 19, 2019. https://digital.library.unt.edu/ark:/67531/metadc149609/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Hollingshad, Nicholas W. “A Non-equilibrium Approach to Scale Free Networks.” 2012. Web. 19 Oct 2019.

Vancouver:

Hollingshad NW. A Non-equilibrium Approach to Scale Free Networks. [Internet] [Thesis]. University of North Texas; 2012. [cited 2019 Oct 19]. Available from: https://digital.library.unt.edu/ark:/67531/metadc149609/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Hollingshad NW. A Non-equilibrium Approach to Scale Free Networks. [Thesis]. University of North Texas; 2012. Available from: https://digital.library.unt.edu/ark:/67531/metadc149609/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of North Texas

2. Turalska, Malgorzata A. Temporal Properties Of Dynamic Processes On Complex Networks.

Degree: 2011, University of North Texas

Many social, biological and technological systems can be viewed as complex networks with a large number of interacting components. However despite recent advancements in network theory, a satisfactory description of dynamic processes arising in such cooperative systems is a subject of ongoing research. In this dissertation the emergence of dynamical complexity in networks of interacting stochastic oscillators is investigated. In particular I demonstrate that networks of two and three state stochastic oscillators present a second-order phase transition with respect to the strength of coupling between individual units. I show that at the critical point fluctuations of the global order parameter are characterized by an inverse-power law distribution and I assess their renewal properties. Additionally, I study the effect that different types of perturbation have on dynamical properties of the model. I discuss the relevance of those observations for the transmission of information between complex systems. Advisors/Committee Members: Grigolini, Paolo, Krokhin, Arkadii, Roberts, James A., Gross, Gunter.

Subjects/Keywords: Complex networks; cooperation; renewal theory; linear response theory; perturbation

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Turalska, M. A. (2011). Temporal Properties Of Dynamic Processes On Complex Networks. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc103403/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Turalska, Malgorzata A. “Temporal Properties Of Dynamic Processes On Complex Networks.” 2011. Thesis, University of North Texas. Accessed October 19, 2019. https://digital.library.unt.edu/ark:/67531/metadc103403/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Turalska, Malgorzata A. “Temporal Properties Of Dynamic Processes On Complex Networks.” 2011. Web. 19 Oct 2019.

Vancouver:

Turalska MA. Temporal Properties Of Dynamic Processes On Complex Networks. [Internet] [Thesis]. University of North Texas; 2011. [cited 2019 Oct 19]. Available from: https://digital.library.unt.edu/ark:/67531/metadc103403/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Turalska MA. Temporal Properties Of Dynamic Processes On Complex Networks. [Thesis]. University of North Texas; 2011. Available from: https://digital.library.unt.edu/ark:/67531/metadc103403/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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