activity
20022026
most citedNumber theory and dynamical systems on foliated spaces

33 citations · 121 across the 38 of their papers we have counts for

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Showing 2007Show all

2 papers · 1 filter

math.OA2007★ 3 cited

Determinants on von Neumann algebras, Mahler measures and Ljapunov exponents

Christopher Deninger

For an ergodic measure preserving action on a probability space, consider the corresponding crossed product von Neumann algebra. We calculate the Fuglede-Kadison determinant for a…

math.NT2007★ 9 cited

Analogies between analysis on foliated spaces and arithmetic geometry

C. Deninger

We point out analogies between (a) the explicit formulas in analytic number theory and transversal index theory, (b) Lichtenbaum's recent conjectures on special values of Hasse-Wei…