Contents -- Preface -- Acknowledgments -- 1. Introduction -- 1.1 Critical exponents of equilibrium (thermal) systems -- 1.2 Static percolation cluster exponents -- 1.3 Dynamical critical exponents -- 1.4 Crossover between classes -- 1.5 Critical exponents and relations of spreading processes -- 1.5.1 Damage spreading exponents -- 1.6 Field theoretical approach to reaction-diffusion systems -- 1.6.1 Classification scheme of one-component, bosonic RD models, with short ranged interactions and memory -- 1.6.2 Ageing and local scale invariance (LSI) -- 1.7 The effect of disorder -- 2. Out of Equilibrium Classes -- 2.1 Field theoretical description of dynamical classes at and below Tc -- 2.2 Dynamical classes at Tc > 0 -- 2.3 Ising classes -- 2.3.1 Correlated percolation clusters at TC -- 2.3.2 Dynamical Ising classes -- 2.3.2.1 Model-A -- 2.3.2.2 Model-B -- 2.3.3 Competing dynamics added to spin-ip -- 2.3.4 Competing dynamics added to spin-exchange -- 2.3.5 Long-range interactions and correlations -- 2.3.6 Damage spreading behavior -- 2.3.7 Disordered Ising classes -- 2.4 Potts classes -- 2.4.1 Correlated percolation at Tc -- 2.4.2 The vector Potts (clock) model -- 2.4.3 Dynamical Potts classes -- 2.4.4 Long-range interactions -- 2.5 XY model classes -- 2.5.1 Long-range correlations -- 2.6 O(N) symmetric model classes -- 2.6.1 Correlated percolation at Tc -- 2.6.2 Disordered O(N) classes -- 3. Genuine Basic Nonequilibrium Classes with Fluctuating Ordered States -- 3.1 Driven lattice gas (DLG) classes -- 3.1.1 Driven lattice gas model in two-dimensional (DDS) -- 3.1.2 Driven lattice gas model in one-dimensional (ASEP, ZRP) -- 3.1.3 Driven lattice gas with disorder -- 3.1.4 Critical behavior of self-propelled particles -- 4. Genuine Basic Nonequilibrium Classes with Absorbing State.

4.1 Mean-field classes of general nA (n + k)A, mA (m - 1)A processes -- 4.1.1 Bosonic models -- 4.1.2 Site restricted (fermionic) models -- 4.1.3 The n = m symmetric case -- 4.1.4 The n > m asymmetric case -- 4.1.5 The asymmetric n < m case -- 4.1.6 Upper critical behavior and below -- 4.2 Directed percolation (DP) classes -- 4.2.1 The contact process -- 4.2.2 Two-point correlations, ageing properties -- 4.2.3 DP-class stochastic cellular automata -- 4.2.4 Branching and annihilating random walks with odd number of offspring -- 4.2.5 DP with spatial boundary conditions -- 4.2.6 DP with mixed (parabolic) boundary conditions -- 4.2.7 L evy fight anomalous diffusion in DP -- 4.2.8 Long-range correlated initial conditions in DP -- 4.2.9 Anisotropic DP systems -- 4.2.10 Quench disordered DP classes -- 4.3 Generalized, n-particle contact processes -- 4.4 Dynamical isotropic percolation (DIP) classes -- 4.4.1 Static isotropic percolation universality classes -- 4.4.2 DIP with spatial boundary conditions -- 4.4.3 L evy fight anomalous diffusion in DIP -- 4.5 Voter model (VM) classes -- 4.5.1 The 2A (ARW) and the 2A A models -- 4.5.2 Compact DP (CDP) with spatial boundary conditions -- 4.5.3 CDP with parabolic boundary conditions -- 4.5.4 L evy fight anomalous diffusion in ARW-s -- 4.5.5 ARW with anisotropy -- 4.5.6 ARW with quenched disorder -- 4.6 Parity conserving (PC) classes -- 4.6.1 Branching and annihilating random walks with even number of offspring (BARWe) -- 4.6.2 The NEKIM model -- 4.6.3 Parity conserving, stochastic cellular automata -- 4.6.4 PC class surface catalytic models -- 4.6.5 Long-range correlated initial conditions -- 4.6.6 Spatial boundary conditions -- 4.6.7 BARWe with long-range interactions -- 4.6.8 Parity conserving NEKIMCA with quenched disorder -- 4.6.9 Anisotropic PC systems.

4.7 Classes in models with n 2 absorbing states in one dimension -- 6.13 Hard-core 2-BARW2 classes in one dimension -- 6.13.1 Hard-core 2-BARWo models in one dimension -- 6.13.2 Coupled binary spreading processes -- 7. Surface-Interface Growth Classes -- 7.1 The random deposition class -- 7.2 Edwards-Wilkinson (EW) classes.

7.3 Quench disordered EW classes (QEW) -- 7.3.1 EW classes with boundaries -- 7.4 Kardar-Parisi-Zhang (KPZ) classes -- 7.4.1 KPZ with anisotropy -- 7.4.2 The Kuramoto-Sivashinsky (KS) Equation -- 7.4.3 Quench disordered KPZ (QKPZ) classes -- 7.4.4 KPZ classes with boundaries -- 7.5 Other continuum growth classes -- 7.5.1 Molecular beam epitaxy classes (MBE) -- 7.5.2 The Bradley-Harper (BH) model -- 7.5.3 Classes of mass adsorption-desorption aggregation and chipping models (SOC) -- 7.6 Unidirectionally coupled DP classes -- 7.6.1 Monomer adsorption-desorption at terraces -- 7.7 Unidirectionally coupled PC classes -- 7.7.1 Dimer adsorption-desorption at terraces -- 8. Summary and Outlook -- Appendix -- Bibliography -- Index.