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Volatility is Not Variance, from Jason Schroeder

Where would I find someone or a school to agree with the statement "volatility is not variance?"

My problem is with variance and not with volatility. Indeed, I might be forced to accept that the computation of volatility needs be the computation that we call variance when given some data.

So given that these topics elide and volatility is something seemingly we all experience, does anyone know of a school, perspective, or person that denies volatility and variance are one in the same? And proceeds to define volatility in some other manner?