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Jump diffusion is a stochastic process that involves jumps and diffusion. It is a type of Lévy process. It has important applications in magnetic reconnection, coronal mass ejections, condensed matter physics, and pattern theory and computational vision.

Stochastic Volatility Jump Models (SVJ models) are a class of mathematical models in quantitative finance that combine stochastic volatility dynamics with discontinuous jumps in asset prices. These models aim to more accurately reflect the empirical characteristics of financial markets, particularly those that deviate from the assumptions of classical models such as the Black–Scholes mod