A Unified Stability Property in Spin Glasses

On differentiability of the Parisi formula

(2012) Dmitry Panchenko   ELECTRONIC COMMUNICATIONS IN PROBABILITY

On the Dovbysh-Sudakov representation result

(2012) Dmitry Panchenko   ELECTRONIC COMMUNICATIONS IN PROBABILITY

A deletion-invariance property for random measures satisfying the Ghirlanda–Guerra identities

(2011) Dmitry Panchenko   COMPTES RENDUS MATHEMATIQUE

Ghirlanda–Guerra identities and ultrametricity: An elementary proof in the discrete case

(2011) Dmitry Panchenko   COMPTES RENDUS MATHEMATIQUE

Stability of the spin glass phase under perturbations

(2011) P. Contucci et al.   EPL

A connection between the Ghirlanda–Guerra identities and ultrametricity

(2010) Dmitry Panchenko   ANNALS OF PROBABILITY

The Ghirlanda–Guerra identities for mixed p-spin model

(2010) Dmitry Panchenko   COMPTES RENDUS MATHEMATIQUE

On the structure of quasi-stationary competing particle systems

(2009) Louis-Pierre Arguin et al.   ANNALS OF PROBABILITY

Construction of pure states in mean field models for spin glasses

(2009) Michel Talagrand   PROBABILITY THEORY AND RELATED FIELDS