Stochastic control in insurance

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Maximizing Dividends without Bankruptcy (2006, background): “1 If the initial surplus is greater than b*, the optimal strategy may be much more complicated; the reader may want to consult the book by Schmidli (2007) and also Azcue and Muler (2005).”
A Risk Model with Multilayer Dividend Strategy (2007, background): “One should keep in mind, however, that this optimality property does not carry over to arbitrary claim size distributions (see, e.g., Azcue and Muler 2005; Albrecher and Thonhauser 2006; Schmidli 2007).”
Optimal dividend strategies for a risk process under force of interest (2008, background): “In the most general case within that framework it is proved (Gerber (1969), Azcue & Muler (2005), Schmidli (2007)) that the optimal dividend strategy is of band type.”
Optimal reinsurance and dividend for a diffusion model with capital injection: Variance premium principle (2012, background): “Therefore, similar to the work of Kulenko and Schmidli (2008), we allow the investor to inject capital with a proportional transaction cost (or called penalty factor) when the surplus ever becomes negative so that ruin can be avoided.”