Geodesic
Hopf's Ergodic Theorem for Particles with Different Velocities and the "Strong Sweeping out Property"
Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 11-15

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DOI

In an earlier paper we provided a counterexample to an old conjecture of Hopf. In this note we show that the "strong sweeping out property" obtains for the Hopf operators (Tt ) both when t —> +∞ and when t —> 0+, that is a.e. convergence fails in the worst possible way.
DOI : 10.4153/CMB-1995-002-0
Mots-clés : 42B25, 60F15 
Bellow, A.; Calderón, A. P. Hopf's Ergodic Theorem for Particles with Different Velocities and the "Strong Sweeping out Property". Canadian mathematical bulletin, Tome 38 (1995) no. 1, pp. 11-15. doi: 10.4153/CMB-1995-002-0
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     title = {Hopf's {Ergodic} {Theorem} for {Particles} with {Different} {Velocities} and the {"Strong} {Sweeping} out {Property"}},
     journal = {Canadian mathematical bulletin},
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     year = {1995},
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