in this paper using catastrophe theory, we investigate non-smooth changes in tehran stock exchange. stock market crashes bring not only panic among investors, but also in deeper market lead to recession and decrease in consumer's confidence. as catastrophe theory is strong tool in explaining nonlinear phenomena, by applying stochastic cusp catastrophe model we examine sudden change in tehr...

one of unsolved problems in quantum measurement theory is to characterize coexistence of quantum effects. in this paper, applying positive operator matrix theory, we give a mathematical characterization of the witness set of coexistence of quantum effects and obtain a series of properties of coexistence. we also devote to characterizing bijective morphisms on quantum effects leaving the witness...

in this paper, installment options on the underlying assetwhich evolves according to black-scholes model and pays constant dividendto its owner will be considered. applying arbitrage pricing theory,the non-homogeneous parabolic partial differential equation governingthe value of installment option is derived. then, penalty method is usedto value the european continuous installment call option.