Furstenberg $\times 2 \times 3$ original conjecture states that the unique continuous invariant probability measure for $2x$ mod $1$ and $3x$ mod $1$ is the Lebesgue measure.

I wanted to have a complete bibliography of work done in ergodic theory that has been directly motivated by this conjecture. What I have is this:

1967: Furstenberg, Disjointness in ergodic theory, minimal sets, and a problem
in Diophantine approximation.

1990: Rudolph, $\times 2 \times 3$ invariant measures and entropy.

2006: Einsiedler and Katok and Lindenstrauss, Invariant measures and the set
of exceptions to Littlewood’s conjecture.

2008: Einsiedler and Fish, Rigidity of measures invariant under the action of a multiplicative semigroup of polynomial growth on $\mathbb{T}.$

I would like if you can help me with this list.