BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Annalisa Panati (Université de Toulon / CPT Marseille) DTSTART:20200618T090000Z DTEND:20200618T095000Z DTSTAMP:20260416T065305Z UID:IML-SMR/14 DESCRIPTION:Title: Heat fluctuations in the two-time measurement framework and ultraviolet r egularity\nby Annalisa Panati (Université de Toulon / CPT Marseille) as part of Scattering\, microlocal analysis and renormalisation\n\n\nAbstr act\nIn this talk I will present some recent results about the connection between heat fluctuation in the two-time measurement framework and ultr aviolet regularity\, and I will sketch what we expect to happen for (toy)- models that can be renormalized through self-energy extraction.\n\nTo put the result in context\, in the first part of the talk I will review the ce lebrated fluctuation theorem in statistical mechanics and the two-time mea surement framework. Since Kurchan’s seminal work (2000)\, two-time meas urement statistics (also known as full counting statistics) has been sho wn to have an important theoretical role in the context of quantum statist ical mechanics\, as they allow for an extension of the celebrated fluctuat ion relation to the quantum setting. \n\nIn the second part of the talk\, I will present our recent results. We show that the description of heat fl uctuation differs considerably from its classical counterpart\, in particu lar a crucial role is played by ultraviolet regularity conditions. On a se t of canonical examples\, with bounded and unbounded perturbations\, we sh ow that\n\nour ultraviolet conditions are essentially necessary. If the fo rm factor of the perturbation does\n\nnot meet our assumptions\, the heat variation distribution exhibits heavy tails. The tails can be\n\nas heavy as preventing the existence of a fourth moment of the heat variation. This phenomenon has no classical analogue.\n\nI will conclude with some conjec tures for models that can be renormalized through self-energy extraction.\ n\n(Joint work with T. Benoist\, R. Raquépas)\n\nLink to the published pa per:\nhttps://link.springer.com/article/10.1007/s00023-018-0743-x\n LOCATION:https://researchseminars.org/talk/IML-SMR/14/ END:VEVENT END:VCALENDAR