New posts in martingales

What is a fair game?

Problem 3.24 of "Brownian Motion & Stochastic Processes" by Karatzas and Shreve - Submartingales and stopping times

Relation between steps and turns in a simple symmetric random walk

Kind of converse of Kolmogorov maximal inequality

Continuous local martingale of finite variation is constant

Limit value of the product martingale $\exp(uX_n - nu^2 \sigma^2 / 2)$

A problem related to basic martingale theory

Uniformly integrable local martingale

Some version of Itô isometry with conditional expectations

Compute the probability that the first $k$ draws are red and the next $n-k$ are green

Random walk as a martingale?

martingale and filtration

Convergence of sum of triangular array of random variables

Motivation behind study of martingales

Why is this process bounded?

Constructing Martingales from Markov Processes

"Converse" of optional stopping theorem

A uniformly bounded local martingale is a martingale

Show that $X_0=Y_0$ and that $X_n$ is a martingale.

Prove $ \int_0^t 2X_s \ dX_s = X_t^2-X_0^2-\langle X, X\rangle_t $ WITHOUT Ito's formula