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:20150112T153500
DTEND;TZID=America/New_York:20150112T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24790
SUMMARY:Dynamical systems seminar - Transfer operators\, Dolgopyat operator
s\, expander graphs\, and applications
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: Transfer operators\,
Dolgopyat operators\, expander graphs\, and applications\nSpeaker: Dale W
inter\, Brown University\nAbstract: Spectral bounds on transfer operators
have consequences in many areas of mathematics\, including dynamics\, numb
er theory\, and lattice counting problems. Two of the standard tools for p
roving such spectral bounds are the Dolgopyat operator technique and the e
xpander graph approach of Bourgain-Gamburd-Sarnak. By combining these tech
niques we can obtain stronger spectral data and correspondingly stronger c
onsequences. I’ll outline some examples of this approach and some of the
corresponding applications in number theory and dynamics.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150119T153500
DTEND;TZID=America/New_York:20150119T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24791
SUMMARY:Dynamical systems seminar - NO SEMINAR: Martin Luther King Day
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: NO SEMINAR: Martin L
uther King Day
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150126T153500
DTEND;TZID=America/New_York:20150126T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24792
SUMMARY:Dynamical systems seminar - Leafwise entropy rigidity for foliation
s.
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: Leafwise entropy rig
idity for foliations.\nSpeaker: Christopher Connell\, Indiana University a
t Bloomington\nAbstract: We prove an entropy rigidity statement for genera
l foliated maps f: M --> N between compact foliated spaces in the sense of
Besson\, Courtois and Gallot. In particular\, we establish an iso-entropi
c inequality with respect to a transverse quasi-invariant measure which is
optimal when almost every leaf of M is locally symmetric. We give some a
pplications of this as well\, and indicate how it relates to the entropy r
igidity conjecture for higher rank spaces. This is joint work with Zhenyu
Li.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150202T153500
DTEND;TZID=America/New_York:20150202T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24793
SUMMARY:Dynamical systems seminar - On Rauzy Induction: A Quantitative Answ
er to Bufetov's Question
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: On Rauzy Induction:
A Quantitative Answer to Bufetov's Question\nSpeaker: Jon Fickenscher\, Pr
inceton\nAbstract: We may associate to a general Interval Exchange Transfo
rmation an infinite sequence of visitation matrices through Rauzy Inductio
n. These matrices are associated to the Kontsevich-Zorich cocycle. A. Bu
fetov posed the following question: given this infinite sequence of matric
es\, can the original IET be recovered up to topological conjugacy? In 20
10\, W. A. Veech proved the affirmative answer to this question. We will
discuss a quantitative version of this answer by finding the IET using onl
y a finite number of these matrices. We then answer the same question for
the Zorich Acceleration of Rauzy Induction.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150209T153500
DTEND;TZID=America/New_York:20150209T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24794
SUMMARY:Dynamical systems seminar - Applications of Hodge theory to Teichmu
ller dynamics
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: Applications of Hodg
e theory to Teichmuller dynamics\nSpeaker: Simion Filip\, University of Ch
icago\nAbstract: A number of classical dynamical systems\, such as IETs or
billiards in (rational-angled) polygons are related to to the natural act
ion of SL(2\,R) on the space of "flat surfaces". The extra structure\, vie
wing flat surfaces as Riemann surfaces with a holomorphic 1-form\, let one
use tools from Hodge theory to study the action of SL(2\,R).\nThis action
enjoys a number of rigidity properties - by results of Eskin\, Mirzakhani
\, and Mohammadi\, orbit closures are manifolds and invariant measures are
Lebesgue-class. I will explain why orbit closures are in fact algebraic v
arieties\, with unusual arithmetic properties. I will also explain some ri
gidity results\, and a proof that the Lyapunov spectrum associated to the
action of the diagonal group has minimal number of zero exponents\, provid
ed the constraints from geometry.\nNo background in Hodge theory will be a
ssumed and I will provide the necessary introduction.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150216T153500
DTEND;TZID=America/New_York:20150216T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24795
SUMMARY:Dynamical systems seminar - Combinatorics and entropy of continued
fractions with SL(2\, Z) branches
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: Combinatorics and en
tropy of continued fractions with SL(2\, Z) branches\nSpeaker: Giulio Tioz
zo\, Yale University\nAbstract: As is well-known\, the Gauss map generates
the usual continued fraction algorithm\nand is related to the geodesic fl
ow on the modular surface.\n\nWe shall look at the dynamics of generalized
Gauss maps whose\nbranches are Moebius transformations in SL(2\, Z).\nThe
se maps\, also known as (a\, b)-continued fractions\,\nhave been introduce
d by S. Katok and I. Ugarcovici.\n\nWe provide an explicit construction of
the bifurcation locus for this family\,\nand show it is parametrized by F
arey words and combinatorially isomorphic\nto the main cardioid in the Man
delbrot set.\nAs a consequence\, we prove that the entropy is a monotone f
unction of the parameter.\n\nThis is joint work with C. Carminati and S. I
sola.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150223T153500
DTEND;TZID=America/New_York:20150223T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24796
SUMMARY:Dynamical systems seminar - NO SEMINAR due to a conflict with a com
prehensive exam
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: NO SEMINAR due to a
conflict with a comprehensive exam
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150302T153500
DTEND;TZID=America/New_York:20150302T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24797
SUMMARY:Dynamical systems seminar - Examples of analytic non-standard reali
zation of some irrational circle rotations the torus
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: Examples of analytic
non-standard realization of some irrational circle rotations the torus\nS
peaker: Shilpak Banerjee\, Penn State\nAbstract: I will present a brief su
rvey on one of the applications of the "approximation by conjugation" sche
me developed by Anosov and Katok. Namely\, this scheme can be used to prod
uce examples of smooth ergodic diffeomorphisms on various manifolds metric
ally isomorphic to an irrational circle rotation. Then I will talk about s
ome modifications that can be done and extended this technique to the anal
ytic set-up and produce similar examples on the torus
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150309T153500
DTEND;TZID=America/New_York:20150309T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24798
SUMMARY:Dynamical systems seminar - NO SEMINAR: Spring break
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: NO SEMINAR: Spring b
reak
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150316T153500
DTEND;TZID=America/New_York:20150316T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24799
SUMMARY:Dynamical systems seminar - TBA
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: TBA\nAbstract Link:
http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150323T153500
DTEND;TZID=America/New_York:20150323T163500
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=24800
SUMMARY:Dynamical systems seminar - Dynamics from Complex Continued Fractio
ns
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: Dynamics from Comple
x Continued Fractions\nSpeaker: Adam Zydney\, Penn State\nAbstract: While
complex continued fractions in number theory and dynamics from real contin
ued fractions are well-studied areas\, there is little work in dynamical s
ystems coming from complex continued fractions. This talk will discuss the
relevant maps and structures involved in continued fraction dynamics and
will show an explicit description of the attractor region for a particular
system.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150330T153500
DTEND;TZID=America/New_York:20150330T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24801
SUMMARY:Dynamical systems seminar - Kolmogorov and Bernoulli property for p
artially hyperbolic diffeomorphisms
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: Kolmogorov and Berno
ulli property for partially hyperbolic diffeomorphisms\nSpeaker: Ali Tahzi
bi\, ICMC-USP Sao Carlos-Brazil\nAbstract: There is a hierarchy among the
order of unpredictability of dynamical systems. The Bernoulli property (co
njugacy with a Bernoulli Shift) is the strongest form of unpredictability.
Each Bernoulli system\, in particular\, is a Kolmogorov system. However\,
the inverse is not always true. In this talk we review some known results
and prove the equivalence between Kolmogorov and Bernoullicity of volume
measure for partially hyperbolic systems which are derived from Anosov and
have one dimensional central bundle on Torus. In particular we announce s
ome recent results on disintegration of measures along central foliation o
f partially hyperbolic dynamics. This is a joint work with J.R.Varão and
G. Ponce.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150406T153500
DTEND;TZID=America/New_York:20150406T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24802
SUMMARY:Dynamical systems seminar - Conservative Anosov transformations on
the two torus without absolutely continuous Lebesgue invariant measures
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: Conservative Anosov
transformations on the two torus without absolutely continuous Lebesgue in
variant measures\nSpeaker: Zemer Kosloff\, University of Warwick\nAbstract
Link: http://www.personal.psu.edu/sxk37/Abstract_Conservative_Anosov.pdf
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150413T153500
DTEND;TZID=America/New_York:20150413T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24803
SUMMARY:Dynamical systems seminar - TBA
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: TBA\nSpeaker: Nikita
Selinger\, SUNY Stony Brook
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150420T153500
DTEND;TZID=America/New_York:20150420T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24804
SUMMARY:Dynamical systems seminar - NO SEMINAR\, Maryland conference
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: NO SEMINAR\, Marylan
d conference
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150427T153500
DTEND;TZID=America/New_York:20150427T163500
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=24805
SUMMARY:Dynamical systems seminar - TBA
DESCRIPTION:Seminar: Dynamical systems seminar\nTitle: TBA\nAbstract Link:
http://
END:VEVENT
END:VCALENDAR