Adriana Neumann

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20242026

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math.PR2026

Fluctuations of the Boundary-Driven Symmetric Zero-Range Process from the NESS

PatrÃcia GonÃ§alves, Adriana Neumann, Maria Chiara Ricciuti

We study the non-equilibrium stationary fluctuations of a symmetric zero-range process on the discrete interval ${1, \dots, N - 1}$ coupled to reservoirs at sites $1$ and $N - 1$ , w…

math.PR2025

Hydrodynamic Limit of the Symmetric Zero-Range Process with Slow Boundary

Oslenne AraÃºjo, PatrÃcia GonÃ§alves, Adriana Neumann +1

We study the hydrodynamic behaviour of the symmetric zero-range process on the finite interval ${1, \dots, N - 1}$ in contact with slow reservoirs at the boundary. Particles are i…

math.PR2024

Diffusion Processes: entropy, Gibbs states and the continuous time Ruelle operator

A. O. Lopes, G. Muller, A. Neumann

We consider a Riemmaniann compact manifold $M$ , the associated Laplacian $I^$ and the corresponding Brownian motion $X_{t}$ , $t \geq 0.$ Given a Lipschitz function $V : M \to R$ w…