2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210733We will discuss theoretical and experimental results concerning comparison of entropy of pseudo-Anosov maps and volume of their mapping tori. Recent study of Weil-Petersson geometry of the Teichmüller space tells us that they admit linear inequalities for both sides under some bounded geometry condition. We construct a family of pseudo-Anosov maps which violates one side of inequalities under unbounded geometry setting, present an explicit bounding constant for a punctured torus, and provide several observations based on experiments.16 pages, 14 figuresGeometric TopologyDynamical Systems37E30, 57M27, 57M55text