We prove two theorems concerning extreme values of general Gaussian fields. Our first theorem concerns the phenomenon of multiple peaks. Consider a centered Gaussian field whose sites have variance at ...
A dichotomy for sequences of pairs of Gaussian measures is proved. This result is then used to give a simple proof of the famous equivalence/singularity dichotomy for ...
Today's Google Doodle celebrates the 241st birthday of mathematician and physicist Carl Friedrich Gauss, who was among the first to explore non-Euclidean geometry, proved the fundamental theorem of ...
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