Product Description: This volume represents a radical departure from the current philosophical duopoly in the area of foundations of probability, that is, the frequency and subjective theories. One of the main new ideas is a set of scientific laws of probability...read more

Product Description: A long open problem in probability theory has been the following: Can the graph of planar Brownian motion be split by a straight line? Let $Z_t$ be two-dimensional Brownian motion. Say that a straight line $\mathcal L$ is a cut line if there exists a time $t \in (0,1)$ such that the trace of $\{ Z_s: 0 \leq s \lt t\}$ lies on one side of $\mathcal L$ and the trace of $\{Z_s: t \lt s \lt 1\}$ lies on the other side of $\mathcal L$...read more (view table of contents, read Amazon.com's description)