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Hugo Duminil Copin - Does chance really exist?

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Colloque Wright

Published on Nov 11, 2021

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Hugo Duminil Copin - Professor of mathematics at the University of Geneva and the Institute of Advanced Scientific Studies In the collective imagination, throwing a die allows you to obtain an unpredictable result... But is this really the case? Since the movements of the hand and the die comply with the rules of classical physics, the result of the throw can a priori be perfectly predicted. The unpredictable aspect therefore seems to be due to a computational incapacity on the part of the observers rather than to an intrinsic randomness of the system. This realization is even more evident when shuffling cards. Starting from a totally ordered deck, it is possible to analyze the apparent disorder induced by mixtures of different qualities. Through examples, we will see that certain random events in everyday life are in fact perfectly deterministic, which inexorably leads us to question the very existence of chance. However, this doubt is only short-lived because chance, the real one, is in fact hidden elsewhere. In the infinitely small, where quantum physics replaces classical physics, the universe begins to play dice. The trajectory of an electron passing through a screen through a tiny hole cannot be predicted: two perfectly identical electrons entering the hole in exactly the same way will come out in different places. Whether chance is visible, on a macroscopic scale, or real, on a microscopic scale, it is essential to understand its fundamental laws in order to be able to model it in the best possible way. This is where probability theory comes into play. The conference will be followed by a discussion combining knowledge in mathematics and quantum physics between Hugo Duminil Copin and Thierry Giamarchi. Professor Duminil Copin is a specialist in mathematical physics and probability theory, in particular random graphs and ferromagnetism. Professor Thierry Giamarchi teaches physics at UNIGE. His research area is the study of the effects of interactions in quantum matter, as well as the effects of disorder in both classical and quantum systems.

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