2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.PR2009★ 2 cited
On the Dovbysh-Sudakov representation result
Dmitry Panchenko
We present a detailed proof of the Dovbysh-Sudakov representation for symmetric positive definite weakly exchangeable infinite random arrays, called Gram-de Finetti matrices, which…
math.PR2007★ 1 cited
On differentiability of the Parisi formula
Dmitry Panchenko
It was proved by Michel Talagrand in [10] that the Parisi formula for the free energy in the Sherrington-Kirkpatrick model is differentiable with respect to inverse temperature par…
math.PR2007
A note on Talagrand's positivity principle
Dmitry Panchenko
Talagrand's positivity principle states that one can slightly perturb a Hamiltonian in the Sherrington-Kirkpatrick model in such a way that the overlap of two configurations under…