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The fourth moment theorem on the Poisson space Döbler, Christian ; Peccati, Giovanni in Annals of Probability (in press) Detailed reference viewed: 252 (21 UL)Derivative and divergence formulae for diffusion semigroups Thalmaier, Anton ; Thompson, James in Annals of Probability (2019), 47(2), 743-773 Detailed reference viewed: 339 (95 UL)Weak symmetric integrals with respect to the fractional Brownian motion ; Nourdin, Ivan ; in Annals of Probability (2018), 46(4), 2243-2267 Detailed reference viewed: 143 (2 UL)Discrete versions of the transport equation and the Shepp-Olkin conjecture Hillion, Erwan ; in Annals of Probability (2016), 44(1), 276-306 We introduce a framework to consider transport problems for integer-valued random variables. We introduce weighting coeffcients which allow us to characterise transport problems in a gradient now setting ... [more ▼] We introduce a framework to consider transport problems for integer-valued random variables. We introduce weighting coeffcients which allow us to characterise transport problems in a gradient now setting, and form the basis of our introduction of a discrete version of the Benamou--Brenier formula. Further, we use these coeffcients to state a new form of weighted log-concavity. These results are applied to prove the monotone case of the Shepp--Olkin entropy concavity conjecture. [less ▲] Detailed reference viewed: 95 (9 UL)Quantitative stable limit theorems on the Wiener space Nourdin, Ivan ; ; Peccati, Giovanni in Annals of Probability (2016), 44(1), 1-41 Detailed reference viewed: 131 (11 UL)Generalization of the Nualart-Peccati criterion Azmoodeh, Ehsan ; ; et al in Annals of Probability (2015), 44 Detailed reference viewed: 58 (8 UL)Asymptotic independence of multiple Wiener-Itô integrals and the resulting limit laws Nourdin, Ivan ; in Annals of Probability (2014), 42(2), 497-526 Detailed reference viewed: 52 (1 UL)Poisson approximations on the free Wigner chaos Nourdin, Ivan ; Peccati, Giovanni in Annals of Probability (2013), 41(4), 2709--2723 Detailed reference viewed: 62 (3 UL)Wigner chaos and the fourth moment ; Nourdin, Ivan ; Peccati, Giovanni et al in Annals of Probability (2012), 40(4), 1577--1635 Detailed reference viewed: 83 (1 UL)Stein's method and normal approximation of Poisson functionals Peccati, Giovanni ; ; et al in Annals of Probability (2010), 38(2), 443--478 Detailed reference viewed: 72 (0 UL)Invariance principles for homogeneous sums: universality of Gaussian Wiener chaos Nourdin, Ivan ; Peccati, Giovanni ; in Annals of Probability (2010), 38(5), 1947--1985 Detailed reference viewed: 65 (2 UL)Noncentral convergence of multiple integrals Nourdin, Ivan ; Peccati, Giovanni in Annals of Probability (2009), 37(4), 1412--1426 Detailed reference viewed: 63 (2 UL)Asymptotic behavior of weighted quadratic variations of fractional Brownian motion: the critical case H=1/4 Nourdin, Ivan ; in Annals of Probability (2009), 37(6), 2200-2230 Detailed reference viewed: 37 (1 UL)Stein's method and exact Berry-Esseen asymptotics for functionals of Gaussian fields Nourdin, Ivan ; Peccati, Giovanni in Annals of Probability (2009), 37(6), 2231--2261 Detailed reference viewed: 80 (1 UL)Asymptotic behavior of certain weighted quadratic and cubic variations of fractional Brownian motion Nourdin, Ivan in Annals of Probability (2008), 36(6), 2159-2175 Detailed reference viewed: 24 (3 UL)Hoeffding decompositions and urn sequences ; Peccati, Giovanni in Annals of Probability (2008), 36(6), 2280--2310 Detailed reference viewed: 52 (0 UL)Stochastic derivatives for fractional diffusions ; Nourdin, Ivan in Annals of Probability (2007), 35(5), 1998-2020 Detailed reference viewed: 42 (6 UL)On the absolute continuity of Lévy processes with drift Nourdin, Ivan ; in Annals of Probability (2006), 34(3), 1035-1051 Detailed reference viewed: 38 (1 UL)Martingale structure of Skorohod integral processes Peccati, Giovanni ; ; in Annals of Probability (2006), 34(3), 1217--1239 Detailed reference viewed: 33 (0 UL)Central limit theorems for sequences of multiple stochastic integrals ; Peccati, Giovanni in Annals of Probability (2005), 33(1), 177--193 Detailed reference viewed: 57 (1 UL) |
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