Probability Theory and Stochastic Processes: Theory and Applications

Dear Colleagues,

Probability theory and stochastic processes are fundamental branches of mathematics with extensive applications in various scientific and engineering disciplines. Over the years, advancements in probability theory and stochastic processes have led to groundbreaking developments in areas such as machine learning, network analysis, and risk management, highlighting their importance in both theoretical and applied contexts. This Special Issue seeks to showcase the latest developments in this vibrant field, emphasizing both innovative theoretical contributions and practical applications that address real-world challenges.

The aim of this Special Issue is to bring together high-quality research that advances our understanding of probability theory and stochastic processes. This includes theoretical breakthroughs, novel methodologies, and significant applications that demonstrate the versatility and impact of these mathematical tools. This Special Issue aligns with the journal’s scope by fostering interdisciplinary connections and disseminating knowledge that bridges theoretical foundations and practical implementations.

In this Special Issue, original research articles and reviews are welcome. Research areas may include (but are not limited to) the following:

• Advances in stochastic modeling and simulation techniques;
• Applications of stochastic processes in finance, insurance, and economics;
• Statistical inference for stochastic processes;
• Random walks, Markov chains, and their applications;
• Stochastic differential equations and their numerical solutions;
• Connections between probability theory and machine learning;
• Network theory and random graph models;
• Applications in biology, epidemiology, and environmental science;
• Ergodic theory and long-term behavior of stochastic systems;
• Computational approaches to high-dimensional probability problems.

We are looking forward to receiving your contributions.

Prof. Dr. João Paulo Martins
Prof. Dr. Rui Santos
Dr. Miguel Felgueiras
Guest Editors

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