Scale Invariant Limit and Emergence of Complexity: Applications to Traffic Flow

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2015 by IJMTT Journal
Volume-19 Number-2
Year of Publication : 2015
Authors : Anuja Ray Chaudhuri
  10.14445/22315373/IJMTT-V19P513

MLA

Anuja Ray Chaudhuri "Scale Invariant Limit and Emergence of Complexity: Applications to Traffic Flow", International Journal of Mathematics Trends and Technology (IJMTT). V19(2):102-107 March 2015. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
Some novel applications of recently developed analytic formalism involving a nonlinear variations in the usual definition of limit are studied in the context of some simple classically non smooth systems. A Gell-mann-Low type renormalization group equation is derived indicating inherent scale invariance as well as an effective running of scales. A few elementary models of traffic flow are examined as simple prototypes of intelligent systems.

References
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Keywords
Scale invariance, Ultrametric, Renormalization group, Traffic flow