We study the behavior of random walk in random environment (RWRE) on trees in the critical case left open in previous work. Representing the random walk by an electrical network, we assume that the ...

Jun 16, 2015; Cleveland, OH, USA; Golden State Warriors guard Leandro Barbosa (19) shoots against Cleveland Cavaliers forward LeBron James (23) during the first quarter of game six of the NBA Finals ...

Random walk theory holds that short-term and mid-term price movements of a specific stock appear to be random and thus are unpredictable. Using a share price’s past movements, for example, is an ...

Consider a sequence ($X_{k}\colon k\geq 0$) of regularly varying independent and identically distributed random variables with mean 0 and finite variance. We develop ...

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 ...