Before revision:  However, when the bridge information process absorbs y, the holder of the contract should take the decision of withdrawing gas on the other hand, they should take the decision to inject gas when the process absorbs x . In this sense the Brownian bridge information process leaks information concerning the time at which the holder of a storage contract can choose to inject gas, do nothing, or withdraw gas.
After revision:  However, when the bridge information process absorbs y, the holder of the contract should take the decision of withdrawing gas , otherwise, when the process absorbs x . In this sense the Brownian bridge information process leaks information concerning the time at which the holder of a storage contract can choose to inject gas, do nothing, or withdraw gas.