Explore the theory behind Modified Logarithmic Sobolev Inequalities in this lecture by Prasad Tetali, part of the "Advances in Applied Probability" program at the International Centre for Theoretical Sciences. Delve into the mathematical foundations and applications of these inequalities, which play a crucial role in high-dimensional probability and analysis. Gain insights into how these tools are used to study large interconnected systems, random graphs, and other complex structures in applied probability. Learn from a leading researcher in the field as you examine the latest developments and emerging paradigms in this cutting-edge area of mathematics.