Principles of the Dynamics of Non-Equilibrium Systems - Research session at the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, 9 January -- 30 June 2006. Let's Face Chaos through Nonlinear Dynamics 2002 - 5th International Summer School/Conference. Maribor, Slovenia; 30 June--14 July 2002. SIAM Conference on Applications of Dynamical Systems (DS03) - Snowbird Ski and Summer Resort, Snowbird, UT, USA; 27--31 May 2003. Spring Topology and Dynamical Systems Conference 2003 - Lubbock, Texas, USA; 20--22 March 2003. Emerging Applications of Measure Rigidity - AIM Research Conference Center (ARCC), Palo Alto, CA, USA; 13--18 June 2004. NEEDS '98 - 12th Workshop on Nonlinear Evolution Equations and Dynamical Systems. University of Leeds, UK; 21 - 28 June 1998. ECC12 - The 12th Experimental Chaos and Complexity Conference. University of Michigan; 16-19 May 2012. Recent Progress in Dynamics - Clay Mathematics Institute and MSRI Conference. MSRI, Berkeley, CA, USA; 27 September -- 1 October 2004.