Publications

• Stationary fluctuations for an exclusion process with mass and energy conservation, Hugo Da Cunha and Makiko Sasada, arXiv:2606.01937, 2026, submitted to Probability and Mathematical Physics

• Hydrodynamic limit for an open Facilitated Exclusion Process with slow and fast boundaries, Hugo Da Cunha, Clément Erignoux and Marielle Simon, Communications in Mathematical Physics, 407, 50 (2026). PDF

• Coupling hydrodynamics of Several Facilitated Exclusion Processes with closed boundaries, Hugo Da Cunha and Lu Xu, arXiv:2502.00738, 2025 to appear in the Springer proceedings From Particle Systems to Partial Differential Equations

Current projects

  • Boundary-driven Facilitated Exclusion Process, with Marielle Simon and Clément Erignoux

  • Fluctuations in Exclusion Processes with several conserved quantities, with Makiko Sasada

  • Effects of asymmetry on the Facilitated Exclusion Process with boundaries, with Lu Xu