J. Mourrat

activity

20082026

most citedQuantitative stochastic homogenization and large-scale regularity

186 citations · 896 across the 70 of their papers we have counts for

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3 papers · 1 filter

math.PR2025

Spin glasses and the Parisi formula

Jean-Christophe Mourrat

Spin glasses are models of statistical mechanics in which a large number of simple elements interact with one another in a disordered fashion. One of the fundamental results of the…

math.PR2025

The convex structure of the Parisi formula for multi-species spin glasses

Hong-Bin Chen, Victor Issa, Jean-Christophe Mourrat

We study the free energy of mean-field multi-species spin glasses with convex covariance function. For such models with $D$ species, the Parisi formula is known to be valid, and ex…

math.PR2025

Operator $ℓ^{\infty} \to ℓ^{\infty}$ norm of products of random matrices

Jean-Christophe Mourrat

We study the $ℓ^{\infty} \to ℓ^{\infty}$ operator norm of products of independent random matrices with independent and identically distributed entries. For $n$ -by- $n$ matrices wh…

Spin glasses and the Parisi formula

The convex structure of the Parisi formula for multi-species spin glasses

Operator ℓ∞→ℓ∞ norm of products of random matrices

Operator $ℓ^{\infty} \to ℓ^{\infty}$ norm of products of random matrices