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In this work we explore the ability of the Google search engine to findresults for random N-letter strings. These random strings, dense over the setof possible N-letter words, address the existence of typos, acronyms, and otherwords without semantic meaning. Interestingly, we find that the probability offinding such strings sharply drops from one to zero at Nc = 6. The behavior ofsuch order parameter suggests the presence of a transition-like phenomenon inthe geometry of the search space. Furthermore, we define a susceptibility-likeparameter which reaches a maximum in the neighborhood, suggesting the presenceof criticality. We finally speculate on the possible connections to Ramseytheory.

Crossover phenomenon in the performance of an Internet search engine