Continuous Time Markov ChainsCovers the basic theory for continuous time Markov chains and discusses communication, hitting probabilities, recurrence, and transience.
Generalization of MartingalesExplores the generalization of Martingale Central Limit Theorem to sub- and supermartingales, discussing key properties and corollaries.
Fundamental SolutionsExplores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.
Arbitrage in Multiperiod ModelsExplores arbitrage in multiperiod models, covering dynamic trading, absence of arbitrage, trading strategies, discounted prices, and martingales.