BEGIN:VCALENDAR
PRODID:-//PSU Mathematics Department//Seminar iCalendar Generator//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Dynamical systems seminar
X-WR-TIMEZONE:America/New_York
BEGIN:VTIMEZONE
TZID:America/New_York
X-LIC-LOCATION:America/New_York
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:19700308T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:19701101T020000
RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140901T153500
DTEND;TZID=America/New_York:20140901T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22821
SUMMARY:Dynamical systems seminar - NO SEMINAR LABOR DAY
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: NO SEMINAR LABOR DAY
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140908T153500
DTEND;TZID=America/New_York:20140908T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22822
SUMMARY:Dynamical systems seminar - Poisson and compound Poisson asymptotic
s in conventional and noncoventional setups
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: Poisson and compound
Poisson asymptotics in conventional and noncoventional setups\nSpeaker: Y
uri Kifer\, Hebrew University of Jerusalem\nAbstract: During last 20-25 ye
ars a substantial attention was attracted to\nthe study of numbers of arri
vals at small (shrinking) sets by trajectories of dynamical systems during
the time intervals inversely proportional to the measure\nof a set. It se
ems that the question was originated by Sinai in the framework\nof the stu
dy of distributions of spacings between energy levels of quantum systems.
Most of the papers dealt with the symbolic setup of a sequence space Ω wi
th a shift invariant suciently fast mixing probability P where Pitskel\,
\nHirata and Denker showed that when P is a Gibbs shift invariant measure
\nthen the numbers of arrivals to shrinking cylindrical neighborhoods of a
lmost\nall points are asymptotically Poisson distributed. More recently es
timates for\nPoisson approximations were obtained by Abadi and others whil
e Haidn and\nVaienti obtained compound Poisson approximations for distribu
tions of numbers of arrivals to shrinking cylindrical neighborhoods of som
e periodic points.\nAsymptotics for arrivals to (geometric) balls consider
ing distributions with respect to the SRB measure were studied by Collet\,
Dolgopyat\, Freitas\, Freitas\,\nTodd and others. Recently Poisson and co
mpound Poisson limiting behavior in\nthe symbolic situation was extended t
o numbers of multiple recurrencies (nonconventional setup). In this talk w
e provide an essentially complete description\nof possible limiting behavi
ors of distributions of numbers of multiple recurrencies to shrinking cyli
nders with respect to ψ-mixing shift invariant measures\nwhich is partia
lly new even for the widely studied single (conventional) recurrencies cas
e (most of results are joint with my student Ariel Rapaport).
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140915T153500
DTEND;TZID=America/New_York:20140915T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22823
SUMMARY:Dynamical systems seminar - Effective Ratner Theorem for ASL(2\, R)
and the gaps of the sequence \\sqrt n modulo 1
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: Effective Ratner The
orem for ASL(2\, R) and the gaps of the sequence \\sqrt n modulo 1\nSpeak
er: Ilya Vinogradov\, University of Bristol\nAbstract: Let G=SL(2\,\\R)\\l
times R2 and Gamma=SL(2\,Z)\\ltimes Z2. Building on \nrecent work of Strom
bergsson we prove a rate of equidistribution for the \norbits of a certain
1-dimensional unipotent flow of Gamma\\G\, which projects to \na closed h
orocycle in the unit tangent bundle to the modular surface. We use \nthis
to answer a question of Elkies and McMullen by making effective the \nco
nvergence of the gap distribution of sqrt n mod 1.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140922T153500
DTEND;TZID=America/New_York:20140922T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22824
SUMMARY:Dynamical systems seminar - Dynamics on Panov planes and related dy
namical systems
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: Dynamics on Panov pl
anes and related dynamical systems\nSpeaker: Martin Schmoll\, Clemson Univ
ersity\nAbstract: About ten years ago Dmitri Panov\, then a masters studen
t of M. Kontsevich\, \ndiscovered a linear dynamics on mildly singular com
plex planes \nwith dense orbits. His result was published 2009\, just aft
er infinite \nbilliards became an object of broader interest. \nAbout the
same time Phil Boyland published transitivity results for \nrel-pseudo Ano
sov maps lifted to universal abelian covers. \nTwo years earlier Pollicot
t and Sharp showed ergodicity \nin eigendirections of pseudo-Anosov maps o
n universal abelian covers. \n\nAmong others these results play essential
role in ongoing research with Chris Johnson to \nfind generalizations of
Panov's construction. So far we discovered relations to the periodic wind-
tree model \nand another physics model: Light rays in a doubly periodic pa
ttern \nof Eaton lenses. This dynamical system led to a paper with K. Frac
zek (Torun). \nIn this paper we use a Teichmueller flow generalization of
pseudo-Anosov maps to conclude dynamical \nproperties holding in almost ev
ery direction for the Eaton lens model. \n\nWe will talk about the dynamic
s on Panov planes\, wind-tree models \nand the periodic Eaton lens model w
ith supporting slides showing \ntrajectories in eigendirection of pseudo-A
nosov maps. \nWe will further state and discuss several dynamical result
s \nand finally present some directions of (our) current research in the t
opic.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140929T153500
DTEND;TZID=America/New_York:20140929T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22825
SUMMARY:Dynamical systems seminar - Dynamics on complex projective surfaces
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: Dynamics on complex
projective surfaces\nSpeaker: Serge Cantat\, CNRS-Université de Rennes (p
resently member of the IAS)\nAbstract: There are examples of complex proj
ective surfaces\nwith holomorphic diffeomorphisms of positive entropy. Suc
h a\ndiffeomorphism has a unique measure of maximal entropy. \nA recent re
sult with C. Dupont characterizes the case when this\nmeasure is absolutel
y continuous with respect to Lebesgue measure : \nthe diffeomorphism "come
s from" a linear transformation of a torus. \nI will describe this result
and the crucial steps of the proof.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141006T153500
DTEND;TZID=America/New_York:20141006T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22826
SUMMARY:Dynamical systems seminar - The Random Minkowski Theorem and Values
of Polynomials at Lattice Points
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: The Random Minkowski
Theorem and Values of Polynomials at Lattice Points\nSpeaker: Jayadev Ath
reya\, University of Illinois at Urbana-Champaign\nAbstract: Motivated by
problems of unipotent flows on homogeneous spaces\, in 2008 we (the speake
r and G. Margulis) proved a "Random Minkowski" theorem on the probability
a randomly chosen unimodular lattice mises a large subset of Euclidean spa
ce. In this talk\, we give applications of this theorem to give error term
s (for almost every quadratic form) in the Quantitative Oppenheim results
of Eskin-Margulis-Mozes. This is joint work with G. Margulis.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141013T153500
DTEND;TZID=America/New_York:20141013T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22827
SUMMARY:Dynamical systems seminar - TBA
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: TBA\nSpeaker: Mikhai
l Lyubich\, SUNY Stony Brook
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141020T153500
DTEND;TZID=America/New_York:20141020T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22828
SUMMARY:Dynamical systems seminar - TBA
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: TBA\nSpeaker: Ke Zha
ng\, University of Toronto
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141027T153500
DTEND;TZID=America/New_York:20141027T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22829
SUMMARY:Dynamical systems seminar - TBA
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: TBA\nSpeaker: Rafael
de la Llave\, Georgia Tech
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141103T153500
DTEND;TZID=America/New_York:20141103T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22830
SUMMARY:Dynamical systems seminar - TBA
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: TBA\nSpeaker: Brando
n Seward\, University of Michigan
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141110T153500
DTEND;TZID=America/New_York:20141110T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22831
SUMMARY:Dynamical systems seminar - TBA
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: TBA\nSpeaker: Amir M
ohammadi\, University of Texas\, Austin
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141117T153500
DTEND;TZID=America/New_York:20141117T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22832
SUMMARY:Dynamical systems seminar - TBA
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: TBA\nSpeaker: Rodrig
o Treviño\, Cornell University
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141124T153500
DTEND;TZID=America/New_York:20141124T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22833
SUMMARY:Dynamical systems seminar - NO SEMINAR: Thanksgiving break
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: NO SEMINAR: Thanksgi
ving break
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141201T153500
DTEND;TZID=America/New_York:20141201T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22834
SUMMARY:Dynamical systems seminar - TBA
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: TBA\nSpeaker: David
Fisher\, Indiana University at Bloomington
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141208T153500
DTEND;TZID=America/New_York:20141208T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=22835
SUMMARY:Dynamical systems seminar - TBA
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: TBA
END:VEVENT
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