Imagine a textbook whose contents are: Geometric Mechanics, Nonlinear Dynamics, Complex Systems, and Relativity and Spacetime. A priori, a first question might arise: Is not this a kind of potpourr...

Yet another book in classical mechanics. Needless to say, the science of mechanics constitutes one of the most fundamental and basic theories of physics and one of the backbones of scientific devel...

In this article we have revisited the orbital calculations for a celestial mechanical system using the relativistic Lagrangean formalism. The differential equations obtained through this procedure,… Expand

Yet another book in classical mechanics. Needless to say, the science ofmechanics constitutes one of themost fundamental and basic theories of physics and one of the backbones of scientific… Expand

We record an argument due to Jean Bourgain which gives lower bounds on the size of the trace sets of certain semigroups related to continued fractions on finite alphabets. These bounds are motivated… Expand