We consider a model-independent pricing problem in fixed-income market and show that it leads to weak optimal transport as introduced by Gozlan et al. use this characterize the extremal models for of caplets on spot rate establish first robust super-replication result is applicable markets. Notably, exhibits cost function which non-convex thus not covered standard assumptions theory. In an inde...

I t was a sad day on Monday, April 13, 2009, for lifelong Detroit Tigers fans, when the news came that Mark " The Bird " Fidrych had died at age 54 in an accident on his farm in Massachusetts. Just the mention of his name brings back fond memories for me of the summer of 1976. That summer, as the nation celebrated its bicentennial, the number of murders skyrocketed in Detroit. The bitterness of...

Traditional Iranian Medicine (T.I.M.) is a branch of natural history sciences that has originated from theoretical wisdom. The philosophy of this medicine is dependent on the hakims and philosophers viewpoint to the world and then to the fashion and general quality of its parts. This holisticly viewpoint to the human beside available intellectual comparisons and partition in medicine (Unlike wh...

Recently, it has been shown that it is possible to reconstruct the projected mass distribution of a cluster from weak lensing provided that both the geometry of the universe and the probability distribution of galaxy redshifts are known; actually, when additional photometric data are taken to be available, the galaxy redshift distribution could be determined jointly with the cluster mass from t...

When charged current weak interations are excluded, the neutral current weak interaction is formally similar to ordinary electromagnetism with a massive photon. In this spirit, the Maxwell equations for the fields of the Z-boson are derived from the standard model. These describe the Z-boson scalar and vector potentials, and the Z-boson electric and magnetic fields whose sources are electron an...

we start this article by rebuilding higher operads of weak higher transformations, and correct those in cite{cambat}. as in cite{cambat} we propose an operadic approach for weak higher $n$-transformations, for each $ninmathbb{n}$, where such weak higher $n$-transformations are seen as algebras for specific contractible higher operads. the last chapter of this article asserts that, up to precise...