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Singh publishes scholarly article on multifractals using graph theory and networking
Monday, January 23, 2017

Singh publishes scholarly article on multifractals using graph theory and networking

Dr. Gurmukh Singh

Dr. Gurmukh Singh of the Department of Computer and Information Sciences wrote a research article, “Multifractal Analysis of Charged Particle Distributions using Horizontal Visibility Graphs and Sandbox Algorithm,” that has been accepted for publication in the international research journal “Modern Physics Letters A,” by World Scientific Publishing.

The scholarly work was done in international research collaboration with Dr. A. Mukhopadhyay, North Bengal University, Siliguri, Darjeeling, India, and involved data acquisition, analysis and simulation of two big data sets obtained from experiments conducted at two reputed national and international labs: Brookhaven National Laboratory (BNL), Long Island, N.Y., and European Center of Nuclear Research (CERN), Geneva, Switzerland.

Singh and his collaborators investigated the single particle, non-statistical, density fluctuations of produced hadrons in relativistic collisions induced by heavy-ion projectiles such as 28Si at 14.5A GeV and 32S at 200A GeV. Several of multifractal parameters obtained from the data analysis of these two big data sets are systematically compared with the events simulated from the Ultra-relativistic Quantum Molecular Dynamics (UrQMD) model under similar boundary conditions. The current investigation indicates that the single particle density functions examined through analysis of both big data sets are multifractal in nature.

An interesting fact in this research, Dr. Singh noted, is that the number of connections that one particular node possesses with the other nodes in a single event could be determined using horizontal visibility graph (an outcome of graph theory) and sandbox algorithm. As an example, one may observe in Fig. 1 that node # 3 is horizontally connected with node # 2, 4, 6, 7, and 8, and as a consequence, degree of connectivity of node 3 # is 5. Exactly in the same way, it is possible to count degrees of connectivity for other nodes existing in the same event. The result is just like how many connections are emanating from a single primary node in a network; i.e., how many friends a given person has in Facebook and other social networks.

More information about Singh’s multi-field scholarly activities is available online.

Singh, a contingent faculty for over 13 years at Fredonia, has served four departments: Department of Computer and Information Sciences, 11 years, and the departments of Mathematics, Computer Science and Physics for two years. Singh is very actively engaged in a number of scholarly activities in multi-research fields and has been author of over 200 research articles. Over 70 research articles have been published by Singh during his tenure at Fredonia.

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