#fractal dimension
topicfractal dimension
2 papers · 1 filter
cond-mat.stat-mech2026
From Exponential to Gaussian Tails: Fractal Wavefront Scaling and the -Weibull Distribution at Phase Transitions
O. V. Pavlovsky, M. Yu. Satleikin
The paper studies how a stochastic cellular‑automaton model of an active medium behaves near a phase transition, showing two distinct activity regimes whose fractal dimensions and…
math.DS2026
Contraction versus Recurrence: An Exponential Separation in Observation-Based Prediction of Deterministic Dynamics
Pavel Popovich
The paper compares two approaches for predicting the state of a deterministic chaotic system from a single observable, showing that observer‑based methods converge exponentially fa…