The mine dispenser section is being noted as one that could use clarification in the future.
Mine Dispensers do say "create minefields in areas through which it travels." Thus it is during movement, and in the area it traveled through. that does leave the question of exactly where the minefields are placed (directly underneath or behind), and I added the behind.
The note about entering, not just moving through or leaving, is in the minefield rules on 168. "minefields may only explode when a unit enters the field's area of effect."