Mathematical model for resistance and optimal strategy
  We propose a mathematical model for one pattern of charts studied in technical analysis: in a phase of consolidation, the price of a risky asset goes down $\xi$ times after hitting a resistance level. We construct a mathematical strategy and we calculate the expectation of the wealth for the logaritmic utility function. Via simulations, we compare the strategy with the standard one. 
Blandine Berard Bergery (IECN), Christophe Profeta (IECN), Etienne   Tanr\'e (INRIA Sophia Antipolis / INRIA Lorraine / IECN)