Struct SpectralGapTracker 

pub struct SpectralGapTracker {
    pub g: Graph,
    pub cfg: SheafConfig,
    pub flow: FlowFn,
}

Spectral Gap Tracker that tracks the rate of change of λ₁.

Key result: expanders resist gap erosion (relative change ≈0.24) compared to cycles (≈0.50), showing that expansion is a topological feature that preserves spectral stability under evolving sheaf dynamics.

Fields

g: Graph

cfg: SheafConfig

flow: FlowFn

Implementations

impl SpectralGapTracker

pub fn new(g: Graph, cfg: SheafConfig, flow: FlowFn) -> Self

pub fn track(&self, t0: f64, t1: f64, n_steps: usize) -> GapTrajectory

Track the spectral gap over [t0, t1] with n_steps steps.

pub fn relative_change(&self, t0: f64, t1: f64, n_steps: usize) -> f64

Compute the relative gap change (total_change / max_gap). Useful for comparing robustness of different topologies.

Trait Implementations

impl Clone for SpectralGapTracker

fn clone(&self) -> SpectralGapTracker

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for SpectralGapTracker

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.