Forward-Backward Stochastic Differential Equations: Applications and Insights

Forward-backward stochastic differential equations (FBSDEs) have emerged as a powerful tool in various disciplines, including finance, engineering, and biology. They provide a framework for modeling complex stochastic systems and have driven significant advancements in data-driven decision-making and risk management.

This book offers a comprehensive guide to the theory and applications of FBSDEs. Written by leading experts in the field, it presents a systematic and accessible approach, combining theoretical foundations with practical examples and industry case studies.

Key Features

• Comprehensive coverage of FBSDE theory, including existence and uniqueness results, stability analysis, and numerical methods
• In-depth exploration of applications in finance, such as optimal investment strategies, risk management, and derivative pricing
• Insights into engineering applications, including stochastic control systems, signal processing, and image denoising
• Applications in biology, such as modeling gene expression and population dynamics
• Case studies from industry leaders, showcasing real-world applications of FBSDEs in finance and engineering
• Exercises and discussion questions to enhance understanding and promote active learning

Target Audience

This book is tailored for researchers, practitioners, and graduate students in the fields of applied mathematics, finance, engineering, and biology. It is an essential resource for anyone seeking to gain a comprehensive understanding of FBSDEs and their diverse applications.

About the Authors

The authors are renowned experts in the field of stochastic differential equations. They have extensive experience in research and teaching, and have made significant contributions to the development of FBSDE theory and its applications.

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