Mathematical Foundations · Differential Equations

Stochastic Differential Equations · Advanced Theory and Practice

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Stochastic Analysis · Probability Theory

Overview

Topics covered

  • Introduction
  • Stochastic Differential Equations
  • Stochastic processes and the Wiener Process
  • The analytical pathology of trajectories
  • The Integral of Itô
  • The extension to general processes in

Related concepts

Main connections

  • Calculus & differentiation
  • Variance & standard deviation
  • Mathematical expectation & moments
  • Mean & expected value
  • Normal (Gaussian) distribution
  • Conditional probability & independence

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

Ws+t−Ws∼N(0,t).
View LaTeX sourceW_{s+t} - W_s \sim N(0, t).