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 - New examples of polynomial Julia sets o
f positive area
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: New examples of poly
nomial Julia sets of positive area\nSpeaker: Mikhail Lyubich\, SUNY Stony
Brook\nAbstract: The problem of Lebesgue area of polynomial Julia sets goe
s back to classical work of Fatou. When the polynomial is reasonably hyper
bolic then the Julia set has zero area\, and there are plenty of examples
of this kind. First examples of polynomial Julia sets of posiive area were
constructed around 2006 by Buff and Cheritat. However\, these examples ar
e rare and topologically ``wild".\n\nIn the talk\, we will describe a new
class of examples that are ``tame" and ``observable"\, with explicit topol
ogical models and computable images. The corresponding parameter set has a
reasonable size (positive Hausdorff dimension).\n\nExistence of such Juli
a sets goes against intuition coming from hyperbolic geometry and theory o
f Kleinian groups.\n\nIt is a joint work with Artur Avila.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141017T131500
DTEND;TZID=America/New_York:20141017T153000
LOCATION:MB102
URL:http://www.math.psu.edu/seminars/meeting.php?id=25707
SUMMARY:Dynamical systems seminar - Poster Session
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: Poster Session
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 - Arnold diffusion: two and half degrees
of freedom and beyond
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: Arnold diffusion: tw
o and half degrees of freedom and beyond\nSpeaker: Ke Zhang\, University o
f Toronto\nAbstract: Arnold diffusion concerns the instability of nearly i
ntegrable systems\, where much progress has been made recently in the case
of 2.5 degrees of freedom. We will discuss the ideas behind the 2.5 degre
es of freedom result\, and the generalization to higher degrees of freedom
. This is based on joint works with V. Kaloshin.
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 - Dynamical properties of conformally sym
plectic systems
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: Dynamical properties
of conformally symplectic systems\nSpeaker: Rafael de la Llave\, Georgia
Tech\nAbstract: When one considers the dynamics of mechanical systems with
a friction \nproportional to the velocity one obtains a system with the\n
remarkable property that a symplectic form is transformed into \na multipl
e of itself. \n\nThe same phenomenon happens when one minimizes \nthe acti
on after discounting it by an exponential factor\n(these models are very
common in economics when one \nminimizes the present cost and includes inf
lation). \n\nWe will present several results for this systems: \n1) A KAM
theory for these systems that leads to efficient algorithms. \n\n2) Absenc
e of Birkhoff invariants near Lagrangian tori. \n\n3) Numerical experiment
s at the breakdown of tori\n\n4) Analyticity domains of expansions for KAM
tori. \n\nAll these works are in collaboration with R. Calleja and A. Cel
letti\n(the numerical work reported is by R. Calleja\, A. Celletti\, J.L -
Figueras)
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 - Orbits closures for the action of SL(2
\,R) on moduli spaces.
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: Orbits closures for
the action of SL(2\,R) on moduli spaces.\nSpeaker: Amir Mohammadi\, Univer
sity of Texas\, Austin\nAbstract: There is an action of SL(2\,R) on the mo
duli space of a compact Riemann surface which is expected to\nhave similar
rigidity properties as in the theory of unipotent flows on homogeneous sp
aces.\nIn this talk we will discuss a joint work with Eskin and Mirzakhani
in which orbits closures of this action are studied.\nThe main ingredient
s are a measure rigidity theorem of Eskin and Mirzakhani\,\nand a certain
avoidance principle which we develop using ideas of Margulis.
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 - An avalanche principle for dynamical sy
stems
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: An avalanche princip
le for dynamical systems\nSpeaker: Manfred Denker\, The Pennsylvania State
University\nAbstract: Consider a product transformation $S=S_1\\times S_2
\\times...S_N$ of $N$ transformations. Given sets $U_i$ in the domain of $
S_i$\, one can define a new transformation: whenever a coordinate falls in
to $U_i$ a transformation $T$ is applied as many times as this happens unt
il such a process stops. Otherwise apply $S$ at each time step. The talk w
ill make this construction precise and discuss the case when $T=S$ and the
case when $T$ and $S$ are product transformations on $[0\,1]^N$ given by
two rotations.\n\nThe results are on basic properties of such tranformatio
ns\, as topological transitivity\, stationary measures\, ergodicity.
END:VEVENT
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