 Furstenberg gained attention at an early stage in his career for producing an innovative topological proof of the infinitude of prime numbers in 1955.In a series of articles beginning in 1963 with A "Poisson Formula for Semi-Simple Lie Groups", he continued to establish himself as a ground-breaking thinker.His work showing that the behavior of random walks on a group is intricately related to the structure of the group - which led to what is now called the Furstenberg boundary – has been hugely influential in the study of lattices and Lie groups.