3 papers
cond-mat.stat-mech2026
Critical Scaling of Finite-Size Fluctuations around Marginal Stability in Long-Range Hamiltonian Systems
Yoshiyuki Y. Yamaguchi, Julien Barré
Finite size fluctuations are a crucial ingredient in kinetic theory of long-range interacting collisionless systems. In this Letter, we introduce a phenomenological theory which pr…
cond-mat.stat-mech2025
Finite-size fluctuations for stochastic coupled oscillators: A general theory
Rupak Majumder, Julien Barré, Shamik Gupta
Phase transitions, sharp in the thermodynamic limit, get smeared in finite systems where macroscopic order-parameter fluctuations dominate. Achieving a coherent and complete theore…
math.CO2014
On rigidity, orientability and cores of random graphs with sliders
Julien Barré, Marc Lelarge, Dieter Mitsche
Suppose that you add rigid bars between points in the plane, and suppose that a constant fraction of the points moves freely in the whole plane; the remaining fraction is const…