An inverse cascade explanation for the power-law frequency–area statistics of earthquakes, landslides and wildfires, B D Malamud and D L Turcotte • Typical phases of pre-failure damage in granitic rocks under differential compression, X Lei • Flow in multiscale fractal fracture networks, P Davy, O Bour, J -R De Dreuzy and C Darcel • Crustal stress crises and seismic activity in the Italian peninsula investigated by fractal analysis of acoustic emission, soil exhalation and seismic data, G Paparo, G P Gregori, M Poscolieri, I Marson, F Angelucci and G Glorioso • Crustal stress and seismic activity in the Ionian archipelago as inferred by satellite- and ground-based observations, Kefallinìa, Greece, M Poscolieri, E Lagios, G P Gregori, G Paparo, V A Sakkas, I Parcharidis, I Marson, K Soukis, E Vassilakis, F Angelucci and S Vassilopoulou • Nonlinear Science issues in the dynamics of unstable rock slopes: new tools for rock fall risk assessment and early warnings, J Zvelebil, M Paluš and D Novotná • Multifractal variability in self-potential signals measured in seismic areas, L Telesca, V Lapenna and M Macchiato • A general landslide distribution applied to a small inventory in Todi, Italy, D L Turcotte, B D Malamud, F Guzzetti and P Reichenbach • Scaling properties of the dimensional and spatial characteristics of fault and fracture systems in the Majella Mountain, central Italy, L Marchegiani, J P Van Dijk, P A Gillespie, E Tondi and G Cello • Evidence for the existence of a simple relation between earthquake magnitude and the fractal dimension of seismogenic faults: a case study from central Italy, G Cello, L Marchegiani and E Tondi • Power-law extreme flood frequency, R Kidson, K S Richards and P A Carling • Models, data and mechanisms: quantifying wildfire regimes, J D A Millington, G L W Perry and B D Malamud