Motivic information

  • Matilde MarcolliEmail author


We introduce notions of information/entropy and information loss associated to exponentiable motivic measures. We show that they satisfy appropriate analogs to the Khinchin-type properties that characterize information loss in the context of measures on finite sets.



The author is partially supported by NSF Grant DMS-1707882 and NSERC Grants RGPIN-2018-04937 and RGPAS-2018-522593 and by the Perimeter Institute for Theoretical Physics.


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Copyright information

© Unione Matematica Italiana 2018

Authors and Affiliations

  1. 1.University of TorontoTorontoCanada
  2. 2.Perimeter Institute for Theoretical PhysicsWaterlooCanada
  3. 3.California Institute of TechnologyPasadenaUSA

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