Theoretical Physics Colloquium

Large deviation theory: From physics to mathematics and back

by Dr. Hugo Touchette (National Institute for Theoretical Physics (NITheP), Stellenbosch, South Africa)

Tuesday, September 12, 2017 from to (Asia/Kolkata)
at AG69
I will give in this talk a basic overview of the theory of large deviations, developed by Varadhan (Abel Prize 2007) in the 1970s, and its applications in statistical physics. In the first part of the talk, I will discuss the basics of this theory and its historical sources, which can be traced back in mathematics to Cramer (1938) and Sanov (1960) and, on the physics side, to Boltzmann (1877) and Einstein (1910). In the second part, I will show how the theory can be applied to study equilibrium and nonequilibrium systems and to express in a more general way many key concepts of statistical physics in a clear and unified way.