Resumen de Occupation times sequences and martingales of simple random walks on the real line

Jaime Lobo Segura

• Given a simple random walk on the real line, we consider the sequences of occupation times on states and associate to them martingales defined by the moments of first order of this random walk. We deduce by this way recurrent relations for the expectations of the occupation times in states before a given time, and then remarkable identities for the expectations of the absolute values of the random walk.