BEGIN:VCALENDAR
PRODID:-//PSU Mathematics Department//Seminar iCalendar Generator//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Working Seminar: Dynamics and its Working Tools
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:20140826T153000
DTEND;TZID=America/New_York:20140826T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22798
SUMMARY:Working Seminar: Dynamics and its Working Tools - An introduction t
o the use of algebraic geometry in Teichmuller dynamics\, I. ATTENTION: th
e second lecture in this series will take place on THURSDAY AUGUST 28 3:3
0-6pm in Room MB 113
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: An introduction to the use of algebraic geometry in Teichmuller dynamics
\, I. ATTENTION: the second lecture in this series will take place on THUR
SDAY AUGUST 28 3:30-6pm in Room MB 113\nSpeaker: Alex Wright\, Stanford U
niversity
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140902T153000
DTEND;TZID=America/New_York:20140902T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22799
SUMMARY:Working Seminar: Dynamics and its Working Tools - An introduction t
o the use of algebraic geometry in Teichmuller dynamics\, III. ATTENTI
ON: the second lecture in this series will take place on THURSDAY AUGUST 2
8 3:30-6pm in room MB 113.
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: An introduction to the use of algebraic geometry in Teichmuller dynamics
\, III. ATTENTION: the second lecture in this series will take place o
n THURSDAY AUGUST 28 3:30-6pm in room MB 113.\nSpeaker: Alex Wright\, Sta
nford University
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140909T153000
DTEND;TZID=America/New_York:20140909T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22800
SUMMARY:Working Seminar: Dynamics and its Working Tools - Metric theory of
interval exchange transformations\, a survey after Veech\, I
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Metric theory of interval exchange transformations\, a survey after Veec
h\, I\nSpeaker: Changguang Dong\, Penn State
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140916T153000
DTEND;TZID=America/New_York:20140916T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22801
SUMMARY:Working Seminar: Dynamics and its Working Tools - Metric theory of
interval exchange transformations\, a survey after Veech\, II
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Metric theory of interval exchange transformations\, a survey after Veec
h\, II\nSpeaker: Changguang Dong\, Penn State
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140923T153000
DTEND;TZID=America/New_York:20140923T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22802
SUMMARY:Working Seminar: Dynamics and its Working Tools - Measure rigidity
of higher rank algebraic Z^r actions\, I.
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Measure rigidity of higher rank algebraic Z^r actions\, I.\nSpeaker: Zhi
ren Wang\, Penn State\nAbstract: As a natural extension of the long-standi
ng Furstenberg conjecture\,\n it is expected that invariant measures
under Z^r actions by toral\n automorphisms must be of algebraic natur
e when r>1. To have\n such rigidity phenomena\, one has to exclude ra
nk-one factors. If\n one assumes in addition that there is no zero-en
tropy factor\,\n measure rigidity was first established by Katok-Spat
zier for\n totally non-symplectic\, and then by Einsiedler-Lindenstra
uss in\n general. In this talk\, we will sketch the Einsiedler-Linden
strauss\n approach and explain how it generalizes to Z^r actions by\n
nilmanifold automorphisms.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140930T153000
DTEND;TZID=America/New_York:20140930T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22803
SUMMARY:Working Seminar: Dynamics and its Working Tools - Measure rigidity
of higher rank algebraic Z^r actions\, II
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Measure rigidity of higher rank algebraic Z^r actions\, II\nSpeaker: Zhi
ren Wang\, Penn State\nAbstract: As a natural extension of the long-standi
ng Furstenberg conjecture\,\n it is expected that invariant measures
under Z^r actions by toral\n automorphisms must be of algebraic natur
e when r>1. To have\n such rigidity phenomena\, one has to exclude ra
nk-one factors. If\n one assumes in addition that there is no zero-en
tropy factor\,\n measure rigidity was first established by Katok-Spat
zier for\n totally non-symplectic\, and then by Einsiedler-Lindenstra
uss in\n general. In this talk\, we will sketch the Einsiedler-Linden
strauss\n approach and explain how it generalizes to Z^r actions by\n
nilmanifold automorphisms.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141007T153000
DTEND;TZID=America/New_York:20141007T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22804
SUMMARY:Working Seminar: Dynamics and its Working Tools - NO SEMINAR
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: NO SEMINAR
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141014T153000
DTEND;TZID=America/New_York:20141014T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22805
SUMMARY:Working Seminar: Dynamics and its Working Tools - Invariant distrib
utions in elliptic dynamics\,I
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Invariant distributions in elliptic dynamics\,I\nSpeaker: Alejandro Kocs
ard\, Fluminense Federal University\, Brazil\nAbstract: Invariant distribu
tions appear as natural obstructions for the existence of smooth solutions
for cohomological equations and they have been extensively used for estim
ating ergodic deviations\, especially for certain parabolic and hyperbolic
systems. In general\, such systems exhibit infinitely many invariant dist
ributions. \n\nOn the other hand\, within elliptic dynamical systems ergod
ic rigid translations on tori are the archetypal examples of such systems
and they are distributionally uniquely ergodic\, i.e. the Lebesgue measure
\nis the only (up to multiplication by a constant) invariant\ndistribution
. \n\nIn these talks we shall discuss some results and conjectures about d
istributionally uniquely ergodic systems.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141021T153000
DTEND;TZID=America/New_York:20141021T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22806
SUMMARY:Working Seminar: Dynamics and its Working Tools - Invariant distrib
utions in elliptic dynamics\,II
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Invariant distributions in elliptic dynamics\,II\nSpeaker: Alejandro Koc
sard\, Fluminense Federal University\, Brazil\nAbstract: Invariant distrib
utions appear as natural obstructions for the existence of smooth solution
s for cohomological equations and they have been extensively used for esti
mating ergodic deviations\, especially for certain parabolic and hyperboli
c systems. In general\, such systems exhibit infinitely many invariant dis
tributions. \n\nOn the other hand\, within elliptic dynamical systems ergo
dic rigid translations on tori are the archetypal examples of such systems
and they are distributionally uniquely ergodic\, i.e. the Lebesgue measur
e\nis the only (up to multiplication by a constant) invariant\ndistributio
n. \n\nIn these talks we shall discuss some results and conjectures about
distributionally uniquely ergodic systems.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141028T153000
DTEND;TZID=America/New_York:20141028T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22807
SUMMARY:Working Seminar: Dynamics and its Working Tools - Finer structure o
f minimal systems\, the Bohr problem and its higher version
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Finer structure of minimal systems\, the Bohr problem and its higher ver
sion\nSpeaker: Xiangdong Ye\, University of Science and Technology of Chin
a\nAbstract: In this talk first I will explain why the regionally proximal
relation of order d is an equivalence relation and why the quotient space
is a d-step nilsystem for minimal systems. Then we will discuss the Bohr
problem\, i.e. if the difference of a syndetic set conatains a Bohr_0 set
\, and its higher version.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141104T153000
DTEND;TZID=America/New_York:20141104T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22808
SUMMARY:Working Seminar: Dynamics and its Working Tools - Pointwise converg
ence of multiple ergodic averages and strictly ergodic models
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Pointwise convergence of multiple ergodic averages and strictly ergodic
models\nSpeaker: Xiangdong Ye\, University of Science and Technology of Ch
ina\nAbstract: In this talk we discuss the pointwise convergence. By build
ing some suitable strictly ergodic models\, we prove that for an ergodic s
ystem $(X\,\\mathcal{X}\,\\mu\, T)$\, $d\\in\\N$\, $f_1\, \\ldots\, f_d
\\in L^{\\infty}(\\mu)$\, the averages \n$$\\frac{1}{N^2} \\sum_{(n\,m)\\i
n [0\,N-1]^2} f_1(T^nx)f_2(T^{n+m}x)\\ldots f_d(T^{n+(d-1)m}x)$$ \nconverg
e $\\mu$ a.e. \n\nDeriving some results from the construction\, for distal
systems we answer positively the question if the multiple ergodic average
s converge a.e. That is\, we show that if $(X\,\\mathcal{X}\,\\mu\, T)$ is
an ergodic distal system\, and $f_1\, \\ldots\, f_d \\in L^{\\infty}(\\mu
)$\, then the multiple ergodic averages \n$$\\frac 1 N\\sum_{n=0}^{N-1}f_1
(T^nx)\\ldots f_d(T^{dn}x)$$ \nconverge $\\mu$ a.e.. \n\nThe two talks are
mainly based on the following papers. \na. S. Shao and X.Ye\, Regionally
proximal relation of order d is an equivalence one for minimal systems and
a combinatorial consequence\,Adv. in Math.\,231(2012)\, 1786-1817. \nb. W
. Huang\, S. Shao and X. Ye\,Nil Bohr-sets and almost automorphy of higher
order\, arXiv:1407.1179v1[math.DS]\, Memoirs of Amer. Math. Soc.\, to app
ear. \nc. W. Huang\, S. Shao and X Ye\, Pointwise convergence of multiple
ergodic averages and strictly ergodic models\, arXiv:1406.5930v1[math.DS]
\, submitted.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141111T153000
DTEND;TZID=America/New_York:20141111T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22809
SUMMARY:Working Seminar: Dynamics and its Working Tools - NO SEMINAR
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: NO SEMINAR
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141118T153000
DTEND;TZID=America/New_York:20141118T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22810
SUMMARY:Working Seminar: Dynamics and its Working Tools - Free Products as
Topological Groups in Dynamics\,I
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Free Products as Topological Groups in Dynamics\,I\nSpeaker: Kurt Vinhag
e\, Penn State\nAbstract: In the study of partially hyperbolic homogeneous
systems\, the Lyapunov manifolds become cosets of unipotent subgroups and
their free product appears as a natural object of study. At best\, the na
tural topology of such a free product can be described as unpleasant\, wit
h key properties like local compactness and first countability failing. In
these talks\, we will see how dynamical and topological arguments can be
used to tame these complexities\, leading to a local rigidity result. In p
articular\, we will see two powerful and classical theorems on topological
groups appear (one of Montgomery-Zippin and another of Gleason-Palais)\,
and prove one of them. Time-permitting\, we will see how free products may
also appear in a non-homogeneous setting.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141125T153000
DTEND;TZID=America/New_York:20141125T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22811
SUMMARY:Working Seminar: Dynamics and its Working Tools - NO SEMINAR: Thank
sgiving break
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: NO SEMINAR: Thanksgiving break
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141202T153000
DTEND;TZID=America/New_York:20141202T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22812
SUMMARY:Working Seminar: Dynamics and its Working Tools - Free Products as
Topological Groups in Dynamics\, II
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Free Products as Topological Groups in Dynamics\, II\nSpeaker: Kurt Vinh
age\, Penn State\nAbstract: In the study of partially hyperbolic homogeneo
us systems\, the Lyapunov manifolds become cosets of unipotent subgroups a
nd their free product appears as a natural object of study. At best\, the
natural topology of such a free product can be described as unpleasant\, w
ith key properties like local compactness and first countability failing.
In these talks\, we will see how dynamical and topological arguments can b
e used to tame these complexities\, leading to a local rigidity result. In
particular\, we will see two powerful and classical theorems on topologic
al groups appear (one of Montgomery-Zippin and another of Gleason-Palais)
\, and prove one of them. Time-permitting\, we will see how free products
may also appear in a non-homogeneous setting.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141209T153000
DTEND;TZID=America/New_York:20141209T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22813
SUMMARY:Working Seminar: Dynamics and its Working Tools - Dynamics near low
-dimensional attractors of neural networks.
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Dynamics near low-dimensional attractors of neural networks.\nSpeaker: V
ladimir Itskov\, Penn State\nAbstract: After a brief introduction to gener
ic rate models of neural networks I will talk about "continuous attractor
networks" that are hypothesized to underlie some critical functions in the
mammalian brain. These networks are perturbations of systems that have a
low-dimensional submanifold of steady states in the continuum limit. I wi
ll discuss basic properties of such networks and also pose some open quest
ions.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20141216T153000
DTEND;TZID=America/New_York:20141216T180000
LOCATION:MB216
URL:http://www.math.psu.edu/seminars/meeting.php?id=22814
SUMMARY:Working Seminar: Dynamics and its Working Tools - NO SEMINAR\, end
of semester
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: NO SEMINAR\, end of semester
END:VEVENT
END:VCALENDAR