BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Occupation Uncertainty Relations - Katarzyna Macieszczak (Universi
 ty of Warwick)
DTSTART:20241129T112500Z
DTEND:20241129T121500Z
UID:TALK221563@talks.cam.ac.uk
DESCRIPTION:In this talk\, I will introduce occupation uncertainty relatio
 ns (OURs) for dynamics of Markov processes over discrete configurations. T
 hose are lower bounds on fluctuations rates of system observables that are
  time integrated along stochastic trajectories. They correspond to a matri
 x bound on correlations between times spent in different system configurat
 ions\, i.e.\, occupation times\, which is expressed only in terms of stati
 onary probabilities and lifetimes of individual configurations. It follows
  that any dynamics that saturates the bound is optimal in approximating st
 ationary distribution by occupation times\; I will demonstrate this&nbsp\;
 always occurs for unidirectional cycles. I will also discuss how using thi
 s bound\, dynamic correlations for a general Markov process can be asympto
 tically bounded in terms of static correlations\, in turn leading to the p
 ositivity of dynamic exponents in the thermodynamic limit.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR