BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Fractional diffusion of variable order and anomalo
us aggregation phenomenon - Mladen Savov (Sofia Un
iversity St. Kliment Ohridski\, Bulgarian Academy
of Sciences)
DTSTART;TZID=Europe/London:20220225T100000
DTEND;TZID=Europe/London:20220225T103000
UID:TALK167843AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/167843
DESCRIPTION:In this talk we consider a fractional diffusion of
variable order both in time and space which may b
e thought of as a particle moving in diverse porou
s milieu. Linking them to general semi-Markov proc
esses we discuss the long-term behaviour of these
diffusions when the derivative in time is fraction
al of variable order and the spatial behaviour is
Brownian motion. In particular depending on the va
riable order of the diffusion\, we prove rigorousl
y an anticipated anomalous behaviour\, that is the
domination of the time the fractional diffusion s
pends in regions where the order of the diffusion
is minimal compared to the time spent elsewhere. U
nder some conditions and depending on the variable
order of the diffusion we also demonstrate that t
he probability to find the particle in regions whe
re the order of the diffusion is minimal converges
to one as time increases. The main techniques do
not stem from the integro-differential equation so
lved by the semigroup (in a mild sense) of these p
rocesses\, but depend on classical laws of the ite
rated logarithm for general Levy processes. This i
s a clear indication of interplay between the pure
ly analytical and the fluctuation approach.\n
\;\nThis is joint work with Bruno Toaldo (Torino\,
Italy)
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
END:VEVENT
END:VCALENDAR