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DTSTART:19960101T000000 END:STANDARD BEGIN:STANDARD TZNAME:GMT TZOFFSETFROM:+0100 TZOFFSETTO:+0000 DTSTART:19961027T020000 RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20260628T024218Z DTSTART;VALUE=DATE-TIME:20071106T151500 DTEND;VALUE=DATE-TIME:20071106T170000 SUMMARY:Nick Watkins (Natural Complexity Project\, British Antarctic Surv ey\, Cambridge UK) TZID:Europe/London UID:20071106-094d43d5385c299a01386c3bd890643c@warwick.ac.uk CREATED:20070913T091437Z DESCRIPTION:Title: Some aspects of Levy flights: Natural\, fractional ... and imaginary Abstract: In the 1960s Mandelbrot developed several fract al models to describe how the shape of many aspects of the natural world departs from the Euclidean. One modelled heavy tailed jumps-the "Noah e ffect"\, typical of economic index time series-using Levy flights. In th e introductory section I will show a few examples of natural systems for which Levy flights or walks offer a useful model\, including the Earth' s auroral electric currents and the turbulent solar wind which is their ultimate energy source. I will also mention recent work where we have re visited an earlier study which had identified Levy walks in albatross fo raging\, using new data and improved analysis methods. In my more techni cal section I will describe studies using a simple self-affine stable mo del-linear fractional stable motion\, LFSM\, which unifies Levy flights with long range memory-to give insight into space physics data. I will p resent a newly-derived diffusion equation for LFSM\, and show work in pr ogress using an LFSM generator and simple analytic scaling arguments to study the problem of the area between an LFSM curve and a threshold. Fin ally I will discuss how LFSM gives the appearance of multi-affine scalin g without having an underlying turbulent cascade or other multiplicative process. The importance of this property for the interpretation of natu ral time series will be discussed. LOCATION:Maths B1.01 CATEGORIES:forum LAST-MODIFIED:20120709T145406Z ORGANIZER;CN="": END:VEVENT END:VCALENDAR