Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
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In this talk I want to explain as simply as I can the reason why some stochastic partial
differential equations, like e.g. KPZ, need a procedure called renormalisation.
This consists in a modification of the equation by adding new non-linearities that typically
contain diverging constants. This is strongly related to a similar phenomenon in
quantum field theory and its explanation in the context of SPDEs is probably
more intuitive. Unfortunately a complete description of the procedure requires
an algebraic machinery that most probabilists prefer to avoid. However the
beauty of this technique resides also in the deep interplay between analysis,
algebra and probability.
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