Hypoelliptic Laplacian and Ray-Singer Metrics

Delve into the intricate world of differential equations with Hypoelliptic Laplacian and Ray-Singer Metrics by Jean-Michel Bismut, published by Princeton University Press in 2008. This comprehensive volume spans 376 pages and lays the analytic groundwork for understanding the hypoelliptic Laplacian. Bismut expertly illustrates how the hypoelliptic Laplacian serves as a geometric interpretation of the Fokker-Planck equations, providing a fresh perspective on this essential operator. The book meticulously establishes the appropriate functional analytic framework necessary for studying this operator and advancing a pseudodifferential calculus. Ideal for researchers and students alike, this work is a vital addition to any mathematics library, particularly for those interested in the fields of hypoellipticity and metric spaces. Enhance your knowledge and explore the depths of this fascinating subject with Bismut’s insightful analysis.