In certain situations, syntactically valid, but incorrect, data entered into a database can result in near-immediate, catastrophic financial losses for an organization. Examples include: omitting zeros in prices of goods on e-commerce sites; and financial fraud where data is directly entered...

Khoshnevisan and Lewis (1994a) have recently established Lévy's modulus of continuity of iterated Brownian motion. In this note, we obtain the Csörgo-Révész modulus of non-differentiability.

In this paper, we are interested in solving backward stochastic differential equations (BSDEs for short) under weak assumptions on the data. The first part of the paper is devoted to the development of some new technical aspects of stochastic calculus related to BSDEs. Then we derive a priori...