This paper develops a theory of propagation chaos for system weakly interacting particles whose terminal configuration is fixed as opposed to the initial customary. Such systems are modeled by backward stochastic differential equations. Under standard assumptions on coefficients equations, we prove results and quantitative estimates rate convergence in Wasserstein distance empirical measure law...

Backward running has long been used in sports conditioning programs and has recently been incorporated into rehabilitative settings as a method of increasing quadriceps strength while decreasing the joint compressive forces about the knee. Although backward locomotion has been studied kinetically, the metabolic cost of backward walking and/or running has not to our knowledge been previously cha...