An Etymological Dictionary of Astronomy and Astrophysics

1. To move along on foot at a moderate pace; advance by steps.
   

2a) An act or instance of walking.

2b) Physics: A moving of a particle among particles.
→ random walk; → quantum walk.

Etymology (EN): M.E. walken, from O.E. wealcan “to toss, roll;” cf. O.N. valka “to drag about,” Dan. valke “to full,” M.Du. walken “to knead, press, full,” O.H.G. walchan “to knead,” Ger. walken “to full.”

Etymology (PE): Camidan “to walk (proudly),” variant gâmidan “to walk,”
gâm “step, pace” (related to âmadan “to come,” → consequence); Mid.Pers. gâm “step, stride, pace;”
O.Pers. gam- “to come; to go;” Av. gam- “to come; to go,” jamaiti “goes;” cf. Skt. gamati “goes;” Gk. bainein “to go, walk, step;” L. venire “to come;” Tocharian A käm- “to come;” O.H.G. queman “to come;” E. come; PIE stem *g^wem- “to go, come.”
Puyeš, verbal noun of puyidan “to walk, run, trot; wander,” from Mid.Pers. pôy-, pwd- “to run;” cf. Gk. speudein “to hasten;” Lith. spudinti.