Characterizations of Flip-Accessibility for Domino Tilings of the Whole Plane

International audienceIt is known that any two domino tilings of a polygon are flip-accessible, \emph{i.e.}, linked by a finite sequence of local transformations, called flips. This paper considers flip-accessibility for domino tilings of the \emph{whole plane}, asking whether two of them are linked by a \emph{possibly infinite} sequence of flips. The answer turning out to depend on tilings, we provide three equivalent \emph{characterizations} of flip-accessibility