In this paper we study the operator inequality φ(X) ≤ X and the operator equation φ(X) = X, where φ is a w∗-continuous positive (resp. completely positive) linear map on B(H). We show that their solutions are in one-to-one correspondence with a class of Poisson transforms on Cuntz-Toeplitz C∗-algebras, if φ is completely positive. Canonical decompositions, ergodic type theorems, and lifting the...

this paper studies the effect of flexible linear torso on the dynamics of passive quadruped bounding. a reduced-order passive and conservative model with linear flexible torso and springy legs is introduced. the model features extensive spine deformation during high-speed bounding, resembling those observed in a cheetah. fixed points corresponding to cyclic bounding motions are found and calcul...