主题词：Stochastic processes and financial applications; Stochastic processes and statistical mechanics; Financial Risk and Volatility Modeling; Probability and Risk Models; Markov Chains and Monte Carlo Methods; Mathematical Dynamics and Fractals; Theoretical and Computational Physics; Random Matrices and Applications; Bayesian Methods and Mixture Models; Diverse Scientific and Economic Studies; Human auditory perception and evaluation; Statistical Methods and Inference; Advanced Mathematical Modeling in Engineering; Educational Robotics and Engineering; Point processes and geometric inequalities; Advanced Queuing Theory Analysis; Complex Systems and Time Series Analysis; advanced mathematical theories; Stability and Controllability of Differential Equations; Insurance, Mortality, Demography, Risk Management; Diffusion and Search Dynamics; Economic theories and models; Mathematical Biology Tumor Growth; Risk and Portfolio Optimization; Advanced Thermodynamics and Statistical Mechanics