The inverse of a local operator preserves the Markov property
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 19 (1992) no. 2, pp. 223-253. 
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     author = {Iwata, Koichiro},
     title = {The inverse of a local operator preserves the {Markov} property},
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Iwata, Koichiro. The inverse of a local operator preserves the Markov property. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 19 (1992) no. 2, pp. 223-253. http://www.numdam.org/item/ASNSP_1992_4_19_2_223_0/

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