We prove an inequality for the spectral norm of matrix valued stochastic integrals. This inequality can be seen either as a non-commutative version of the Burkholder-Davis-Gundy inequality or as an ex...

We revisit the celebrated family of BDG-inequalities introduced by Burkholder, Gundy \cite{BuGu70} and Davis \cite{Da70} for continuous martingales. For the inequalities $\mathbb{E}[τ^{\frac{p}{2}}] ...

We present a new proof of the Burkholder-Davis-Gundy inequalities for $1\leq p

There’s a widening gap between the haves and the have-nots in the United States, and economists are increasingly sounding the alarm. Income inequality has expanded in a short timeframe, and various ...

The middle class in Massachusetts is being hollowed out. Driving the squeeze is a stratospheric rise in inequality.

A major report on global inequality is published, cholera in the DRC, rebel forces in Sudan [capture the country’s largest oil field](https://africa.businessinsider.com/local/lifestyle/despite-promi...

List of all math symbols and meaning - equality, inequality, parentheses, plus, minus, times, division, power, square root, percent, per mille,...

In 2015, Mantoulidis and Schoen constructed $3$-dimensional asymptotically Euclidean manifolds with non-negative scalar curvature whose ADM mass can be made arbitrarily close to the optimal value of t...