1 Introduction  
2 First works  
3 Second wave  
4 Exact asymptotics: Green Gaussian processes and beyond  
4.1 Green Gaussian processes and their properties  
4.2 Exact \(L_{2}\) -small ball asymptotics for the Green Gaussian processes  
4.3 Finite-dimensional perturbations of Gaussian random vectors  
4.4 Fractional Gaussian noise and related processes  
5 Logarithmic asymptotics  
5.1 General assertions  
5.2 Power asymptotics  
5.3 Regularly varying asymptotics  
5.4 Almost regular asymptotics  
5.5 Slowly varying asymptotics