Random walk hypothesis suggests stock market movements are unpredictable, impacting active trading. This theory supports long-term investment strategies, like buy-and-hold, over short-term speculation ...

Random walks and percolation theory form a fundamental confluence in modern statistical physics and probability theory. Random walks describe the seemingly erratic movement of particles or entities, ...

The random walk theorem, first presented by French mathematician Louis Bachelier in 1900 and then expanded upon by economist Burton Malkiel in his 1973 book A Random Walk Down Wall Street, asserts ...

Random walks constitute a fundamental model in probability theory, widely employed to elucidate diffusion processes and random fluctuations in disordered systems. The Gaussian free field (GFF) ...

In this paper we discuss and apply a novel method for bounding the eigenvalues of a random walk on a group G (or equivalently on its Cayley graph). This method works by looking at the action of an ...