1 citations · 1 across the 9 of their papers we have counts for
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A proof of the equivalence of ensembles for asymptotically decoupled fields relying on Mosco's theorem
Pierre Petit
We give a proof of the identification between the entropy and the opposite of the Fenchel-Legendre transform of the pressure for asymptotically decoupled fields relying on Mosco's…
A linear version of Dawson-Gärtner's theorem
Pierre Petit
We prove a linear version of Dawson-Gärtner's theorem saying that weak large deviations principles and the equivalence of ensembles are preserved through linear projective limits.…
Cramér's theorem in measurable locally convex spaces
Pierre Petit
We give a general setting for Cramér's large deviations theorem for the empirical means of a sequence of i.i.d. random vectors, which contains Cramér's theorem in a Banach space an…
Cramér's theorem for asymptotically decoupled fields
Raphaël Cerf, Pierre Petit
We give a general setting for Cramér's large deviations theorem for the empirical means of a field of random vectors, which contains Cramér's theorem for i.i.d. random vectors and…