2 papers
math.PR2025
The Free Energy of an Enriched Continuous Random Energy Model in the Weak Correlation Regime
Alexander Alban, Fu-Hsuan Ho, Justin Ko
We revisit the proof of the limiting free energy of the continuous random energy model (CREM) using the Hamilton--Jacobi approach for mean-field disordered systems. To achieve this…
math.PR2025
From 1 to infinity: The log-correction for the maximum of variable-speed branching Brownian motion
Alexander Alban, Anton Bovier, Annabell Gros +1
We study the extremes of variable speed branching Brownian motion (BBM) where the time-dependent "speed functions", which describe the time-inhomogeneous variance, converge to the…