Stochastic Processes
Continuity refers to the property of a function or process being uninterrupted and smooth over a given interval. In stochastic processes, continuity is crucial as it ensures that there are no sudden jumps or breaks in the paths taken by processes like the Wiener process, which is a fundamental model in probability theory and finance. The continuous nature of these processes allows for the application of calculus and helps in defining properties such as limits and integrals within random environments.
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