First-principle derivation of static avalanche-size distribution

Understand

We study the energy minimization problem for an elastic interface in a random potential plus a quadratic well.

• As the position of the well is varied, the ground state undergoes jumps, called shocks or static avalanches.
• We introduce an efficient and systematic method to compute the statistics of avalanche sizes and manifold displacements.
• The tree-level calculation, i.e.