CHlRAL SYMMETRY PROPERTIES OF THE WILSON LATTICE ACTION AT STRONG COUPLING* C.DILIETO

By C. Dilieto, Stanford Univerditg, C. Stanford. 1983

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Proving Differential Privacy via Probabilistic Couplings (2016, background): “[6] establish a tight connection between probabilistic liftings and probabilistic couplings, a basic tool in probability theory [15, 17].”
Exponential ergodicity and regularity for equations with Lévy noise (2011, background): “In what follows, we shall the need the following lemma whose proof can be found in [38,17, 15].”
FUNCTIONAL INEQUALITIES, SEMIGROUP PROPERTIES AND SPECTRUM ESTIMATES (2000, background): “There are also many books and survey papers in this literature, for instances [4, 10, 13, 15, 16, 19, 20, 29, 31, 36] (see also the references therein).”
Probability Theory : The Coupling Method (2012, methodology): “Standard references for coupling are Lindvall [11] and Thorisson [15].”
Ergodic Markov processes and Poisson equations (lecture notes) (2016, methodology): “Various presentations of this method may be found in [19, 29, 33, 40, 43], et al.”
Universality for first passage percolation on sparse random graphs (2012, background): “In fact, the joint distribution (p (n) kl )k,l≥0 is the one that maximizes the coupling probability between the two probability mass functions (gk)k≥0 and (g (n) k )k≥0 (alternatively, the coupling that minimizes the total variation distance between the two distributions [39]).”