33 citations · 121 across the 38 of their papers we have counts for
6 papers · 1 filter
Dynamical systems for arithmetic schemes
Christopher Deninger
Motivated by work of Kucharczyk and Scholze, we use sheafified rational Witt vectors to attach a new ringed space to every scheme . We also define -val…
Invariant measures on the circle and functional equations
Christopher Deninger
It is well known that real measures on the circle are characterized by their Herglotz transform, an analytic function in the unit disc. Invariance of the measure under N-multiplica…
p-adic entropy and a p-adic Fuglede-Kadison determinant
C. Deninger
Using periodic points we study a notion of entropy with values in the p-adic numbers. This is done for actions of countable discrete residually finite groups . For suitable $Γ=…
Expansive algebraic actions of discrete residually finite amenable groups and their entropy
Christopher Deninger, Klaus Schmidt
We prove an entropy formula for certain expansive actions of a countable discrete residually finite group by automorphisms of compact abelian groups in terms of Fuglede-Kadison…
Fuglede-Kadison determinants and entropy for actions of discrete amenable groups
Christopher Deninger
In 1990, Lind, Schmidt and Ward gave a formula for the entropy of certain -dynamical systems attached to Laurent polynomials , in terms of the (logarithmic) Mahler…
A dynamical Lefschetz trace formula for algebraic Anosov diffeomorphisms
Anton Deitmar, Christopher Deninger
For algebraic Anosov diffeomorphisms we first express the reduced leafwise cohomology with respect to the unstable foliation in terms of finite dimensional Lie algebra cohomology.…