(a
continuous-time stochastic process) on the surface of a sphere Focusing his studies on
statistical physics and
stochastic processes, Dhar has worked on the
statistical mechanics and kinetics of random
lattices and his work is reported to have widened our understanding of the disciplines. He is credited with the introduction of
spectral dimension concept in the studies of
fractals and contributed to developing a methodology for determining their
critical phenomena using real-space
renormalization group techniques which was the first time the mathematical apparatus was used for calculations on
nontrivial critical exponents on fractals. and developed a new model which came to be known as
Dhar-Ramaswamy model. Working on
directed-site animals-enumeration problem using
Bethe ansatz method, he proposed the evolution operator which has since been subjected to studies by other researchers as
Dhar directed-site animals-enumeration problem. Dhar also demonstrated the predominance of slow flipping of
isolated unfrustrated clusters in auto-correlation functions and proposed models of metastable glassy states in stochastic evolution. and the online article repository of Indian Academy of Sciences has listed 113 of them. Dhar is an associate editor of
Journal of Statistical Physics, a
Springer publication since 2005 where he sat in the editorial board on two previous terms (1993–96 and 1999–2002). He is an editorial board member of the
Indian Journal of Pure and Applied Physics (IJPAP) of the
National Institute of Science Communication and Information Resources (NISCAIR), a former editorial adviser to
Physica A, an
Elsevier science journal, and has been associated with journals such as
Journal of Statistical Mechanics: Theory and Experiment,
Physical Review E and
Pramana as an editorial board member. He was a member of the
Commission on Statistical Physics of the
International Union of Pure and Applied Physics from 1992 to 1995 Dhar has also delivered invited speeches and the special lecture on
The Curious Relationship Between Physics and Mathematics at the University of Mumbai on 19 October 2016 was one among them. == Awards and honors ==