Keynote speaker

Generation of Power Laws: Maximum Entropy Framework and Superstatistics

Prof. Karmeshu

Prof. Karmeshu

Professor School of Computer and Systems Sciences
Adjunct Professor School of Computational and Integrative Sciences
Jawaharlal Nehru, University, New Delhi, India
http://www.jnu.ac.in

Abstract

The ubiquitous nature of power law in a variety of systems is a well-known phenomenon. We describe various mechanisms responsiblefor emergence of power law behavior. Maximum entropy based framework with appropriate moment constraints provides a useful approach for generating power law. It is found that maximization of Shannon entropy with either geometric or shifted geometric mean yields power tail behavior. Tsallis entropy maximization with arithmetic mean constraint also results in long tail distributions. A new framework based on superstatistics is discussed which also has the capability to generate heavy tail distributions. Illustrative examples from communication systems, computational neuroscience, Brownian motion in state dependent random force and social systems are briefly discussed.

Brief biography of the Speaker

Dr. Karmeshu is Professor in School of Computer and Systems Sciences in the Jawaharlal Nehru University (JNU) since 1986 and also an adjunct Professor in School of Computational and Integrative Sciences, JNU. He has served three terms as Dean of School of Computer and Systems Sciences and one term as Dean of School of Computational and Integrative Sciences, JNU. Prior to joining JNU, he was a visiting scientist at University of Stuttgart Germany, visiting Assistant Professor, University of Waterloo, Canada, and visiting Professor National University of Mexico, Mexico. He is a founding Professor at NIIT University Neemrana, Rajasthan, India. He is also Distinguished Research Professor (Honorary) ITM University, Gurgaon, India. He has been working in the area of modelling and simulation of non-linear stochastic systems covering a wide range of Physical, Engineering and Sociotechnical systems. His current research interests lie in the study of Computational Neuroscience, Maximum Entropy framework in Communication Networks, Performance Modeling of Wireless Systems, Innovation Diffusion and Stochastic Epidemic Modeling.

Dr. Karmeshu has published more than 100 research papers in international journals. His work has been extensively cited in journals and books. Several books have devoted exclusive sections discussing his mathematical models and techniques as applied to the study of a variety of systems. Prof. Karmeshu has extensively given research seminars at Universities in Europe, Canada, USA and China. He has also delivered several memorial and endowment lectures including Platinum Jubilee lecture in section of Information & Communication Science in Indian Science Congress 2009. He worked as a Member of the Editorial Boards of journals including Stochastic Hydrology and Hydraulics by Springer International. Prof. Karmeshu was the elected President of Mathematics Section of 85th session of Indian Science Congress Association. He has been a member of the senate of Indian Institute of Technology (IIT) (Delhi) and IIT (Roorkee) and has been Chairman of the Governing Body of Bhaskaracharya College of Applied Sciences, University of Delhi. Prof. Karmeshu has served on several committees of Council of Scientific and Industrial Research (CSIR), Department of Science and Technology (Government of India) DST, University Grant Commission (UGC), Indian Council of Agricultural Research (ICAR) and other similar other research organizations. He is a member of Central Connectivity and Monitoring Committee, UGC Infonet Connectivity Programme, FIST program of DST and member of Curriculum Development Committees including Central University of Orissa, Koraput, Central University of Bihar, Patna, and Central University of Himachal Pradesh, Dharmshala. Prof. Karmeshu has extensively contributed to the area of stochastic modeling and simulation of Innovation-Diffusion, Computational Neuroscience and Performance Modelling of Communication Networks. Prof. Karmeshu is a standing committee member of National Mission of Education through ICT. He is a fellow of National Academy of Sciences, India. He has been President of Indian Society of Mathematical Modelling and Simulation. Prof. Karmeshu was Full member of CODATA (Committee on Data for Science and Technology for International Council for Science, Paris, France) during 1999-2000. Prof. Karmeshu was invited to be the guest editor of two special issues of Journal of Scientific and Industrial Research published by CSIR during its Golden Jubilee Year. These issues were dedicated to Mathematical Modeling of Innovation Diffusion and R&D Management. In the recent Indian Science Congress held in January 2015, Prof. Karmeshu on invitation organised a session on “Application of Mathematical Modeling to Societal Issues”.

He is a recipient of Distinguished Service Award of Vijnana Parishad of India in 2013. He was awarded Dr. C.M. Jacob Gold Medal of Systems Society of India. For his outstanding contributions to mathematical modelling of social and technical systems, Dr. Karmeshu received the Shanti Swarup Bhatnagar award, India’s most prestigious award in the field of science and engineering for the year 1993.

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