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Persi Diaconis - Magician
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Persi Diaconis

Magician American Contemporary Cards Mathematical Magic Statistician

description Persi Diaconis Overview

Persi Diaconis is an American mathematician at Stanford University and former professional card magician who mathematically proved that seven riffle shuffles are needed to randomize a deck.

insights Why this score

Persi Diaconis ranks #68 of 328 in the Magician ranking, behind Steve Forte, ahead of Okito.

Former professional magician and renowned mathematician, highly respected for card-shuffling science and expert technical knowledge.

help Persi Diaconis FAQ

Was Persi Diaconis really a professional magician before becoming a mathematician?

Yes. As a teenager, Diaconis left home to travel with legendary sleight-of-hand expert Dai Vernon before later pursuing formal mathematics and statistics.

Why are seven riffle shuffles considered enough to mix a deck?

Work by Persi Diaconis and Dave Bayer showed that, under the Gilbert-Shannon-Reeds model, about seven ordinary riffle shuffles bring a 52-card deck close to random in total variation distance. Fewer shuffles can leave substantial mathematical structure in the deck.

Does the seven-shuffle result apply to every way of shuffling cards?

No. It applies to a mathematical model of a reasonably executed riffle shuffle, not to overhand shuffles, pile dealing, or extremely poor hand technique. The result also describes statistical mixing, not a guarantee that every resulting order is equally likely after exactly seven physical shuffles.

How did card magic influence Persi Diaconis's mathematics?

His experience with controlled shuffles and card handling led naturally to questions about randomness and probability. At Stanford, his research connected practical card mixing with statistics, Markov chains, and group theory.

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