Lévy process
A STOCHASTIC PROCESS IN PROBABILITY THEORY
Process with independent increments; Levy process; Levy processes; Lévy processes; Lévy measure; Levy measure; Lévy-Khintchine representation; Levy stable process; Levy-Khintchine representation; Lévy–Itō decomposition; Lévy-Itō decomposition; Lévy–Khintchine representation; Lévy measures
In probability theory, a Lévy process, named after the French mathematician Paul Lévy, is a stochastic process with independent, stationary increments: it represents the motion of a point whose successive displacements are random, in which displacements in pairwise disjoint time intervals are independent, and displacements in different time intervals of the same length have identical probability distributions. A Lévy process may thus be viewed as the continuous-time analog of a random walk.