63 citations · 325 across the 35 of their papers we have counts for
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The Dynamical Mordell-Lang Conjecture
Robert L. Benedetto, Dragos Ghioca, Par Kurlberg +1
We prove a special case of a dynamical analogue of the classical Mordell-Lang conjecture. In particular, let be a rational function with no superattracting periodic points othe…
Mordell-Lang and Skolem-Mahler-Lech theorems for endomorphisms of semiabelian varieties
Dragos Ghioca, Thomas J. Tucker
Using the Skolem-Mahler-Lech theorem, we prove a dynamical Mordell-Lang conjecture for semiabelian varieties.
p-adic logarithms for polynomial dynamics
Dragos Ghioca, Thomas J. Tucker
We prove a dynamical version of the Mordell-Lang conjecture for subvarieties of the affine space A^g over a p-adic field, endowed with polynomial actions on each coordinate of A^g.…
Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture
Dragos Ghioca, Thomas J. Tucker, Michael E. Zieve
We prove that if nonlinear complex polynomials of the same degree have orbits with infinite intersection, then the polynomials have a common iterate. We also prove a special case o…
A dynamical version of the Mordell-Lang conjecture for the additive group
Dragos Ghioca, Thomas J. Tucker
We prove a dynamical version of the Mordell-Lang conjecture in the context of Drinfeld modules. We use analytic methods similar to the ones employed by Skolem, Chabauty, and Colema…
Siegel's theorem for Drinfeld modules
Dragos Ghioca, Thomas J. Tucker
We prove an analog of Siegel's theorem for integral points in the context of Drinfeld modules. The result holds for finitely generated submodules of the additive group over a funct…