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19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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2 papers · 2 filters

math.PR2005★ 2 cited

Weak logarithmic Sobolev inequalities and entropic convergence

Patrick Cattiaux, Ivan Gentil, Arnaud Guillin

In this paper we introduce and study a weakened form of logarithmic Sobolev inequalities in connection with various others functional inequalities (weak Poincaré inequalities, gene…

math.PR2005★ 7 cited

Stationary processes whose filtrations are standard

X. Bressaud, A. Maass, S. Martinez +1

We study the standard property of the natural filtration associated to a 0--1 valued stationary process. In our main result we show that if the process has summable memory decay, t…