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Table of Contents
1 Elements of probability
2 Stochastic processes
3 Brownian motion
4 Conditional probability
5 Martingales
6 Markov Processes
7 The stochastic integral
8 Stochastic calculus
9 Stochastic Differential Equations
10 PDE problems and diffusions
11 Simulation
12 Back to stochastic calculus
13 An application: finance
Solutions of the exercises
References
Index.
2 Stochastic processes
3 Brownian motion
4 Conditional probability
5 Martingales
6 Markov Processes
7 The stochastic integral
8 Stochastic calculus
9 Stochastic Differential Equations
10 PDE problems and diffusions
11 Simulation
12 Back to stochastic calculus
13 An application: finance
Solutions of the exercises
References
Index.