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:20160112T153200
DTEND;TZID=America/New_York:20160112T180200
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=30047
SUMMARY:Working Seminar: Dynamics and its Working Tools - Lecture series on
Lyapunov exponents I
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Lecture series on Lyapunov exponents I\nSpeaker: Daren Wei\, Penn State
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160119T153200
DTEND;TZID=America/New_York:20160119T180200
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=30046
SUMMARY:Working Seminar: Dynamics and its Working Tools - Lecture series on
Lyapunov exponents II
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Lecture series on Lyapunov exponents II\nSpeaker: Qiao Liu\, Penn State
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160126T153200
DTEND;TZID=America/New_York:20160126T180200
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=30045
SUMMARY:Working Seminar: Dynamics and its Working Tools - Gibbs measures an
d equilibrium states for uniformly hyperbolic systems
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Gibbs measures and equilibrium states for uniformly hyperbolic systems\n
Speaker: Anatole Katok\, Penn State\nAbstract: I present definition and va
riational principle for pressure\, definition\, existence and uniqueness o
f equilibrium states for systems with specification\, classification of eq
uilibrium states and applications to smooth and SRB measures for uniformly
hyperbolic smooth dynamical systems. This talks will also serve as a make
-up for two cancelled last lectures on Math 508 in the fall semester of
2015
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160202T153200
DTEND;TZID=America/New_York:20160202T180200
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=30044
SUMMARY:Working Seminar: Dynamics and its Working Tools - Lecture series on
Lyapunov exponents III
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Lecture series on Lyapunov exponents III\nSpeaker: Daren Wei\, Penn Stat
e
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160209T153200
DTEND;TZID=America/New_York:20160209T180200
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=30043
SUMMARY:Working Seminar: Dynamics and its Working Tools - Ergodic theory of
C^1 generic conservative diffeomorphisms: I.
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Ergodic theory of C^1 generic conservative diffeomorphisms: I.\nSpeaker:
Jairo Bochi\, Pontifical University of Chile\nAbstract: In this pair of t
alks\, I'll survey what is known about the ergodic theory of C^1-generic v
olume-preserving and symplectic diffeomorphisms\, and what are the various
perturbation techniques used to prove those results. In the first part\,
I'll explain a statement of Mañé (generic area-preserving diffeomorphism
s either have zero Lyapunov exponents a.e. or are Anosov)\, and its higher
-dimensional generalizations. In the second part\, I'll explain more recen
t results\, culminating with the following theorem of Avila\, Crovisier\,
and Wilkinson: C^1-generic volume-preserving diffeomorphisms either have z
ero Lyapunov exponents a.e. or the volume measure is ergodic\, hyperbolic
\, and moreover the splitting into stable and unstable spaces is globally
uniformly dominated.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160216T153200
DTEND;TZID=America/New_York:20160216T180200
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=30042
SUMMARY:Working Seminar: Dynamics and its Working Tools - Ergodic theory of
C^1 generic conservative diffeomorphisms: II.
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Ergodic theory of C^1 generic conservative diffeomorphisms: II.\nSpeaker
: Jairo Bochi\, Pontifical University of Chile\nAbstract: In this pair of
talks\, I'll survey what is known about the ergodic theory of C^1-generic
volume-preserving and symplectic diffeomorphisms\, and what are the variou
s perturbation techniques used to prove those results. In the first part\,
I'll explain a statement of Mañé (generic area-preserving diffeomorphis
ms either have zero Lyapunov exponents a.e. or are Anosov)\, and its highe
r-dimensional generalizations. In the second part\, I'll explain more rece
nt results\, culminating with the following theorem of Avila\, Crovisier\,
and Wilkinson: C^1-generic volume-preserving diffeomorphisms either have
zero Lyapunov exponents a.e. or the volume measure is ergodic\, hyperbolic
\, and moreover the splitting into stable and unstable spaces is globally
uniformly dominated.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160223T153200
DTEND;TZID=America/New_York:20160223T180200
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=30041
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:20160301T153200
DTEND;TZID=America/New_York:20160301T180200
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=30040
SUMMARY:Working Seminar: Dynamics and its Working Tools - Lecture series on
Lyapunov exponents IV
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Lecture series on Lyapunov exponents IV\nSpeaker: Qiao Liu\, Penn State
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160308T153200
DTEND;TZID=America/New_York:20160308T180200
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=30039
SUMMARY:Working Seminar: Dynamics and its Working Tools - Spring break
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Spring break\nSpeaker: NO SEMINAR
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160315T153200
DTEND;TZID=America/New_York:20160315T180200
LOCATION:MB113
URL:http://www.math.psu.edu/seminars/meeting.php?id=30038
SUMMARY:Working Seminar: Dynamics and its Working Tools - Lecture series on
Lyapunov exponents V
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Lecture series on Lyapunov exponents V\nSpeaker: Daren Wei\, Penn State
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160322T153200
DTEND;TZID=America/New_York:20160322T180200
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=30037
SUMMARY:Working Seminar: Dynamics and its Working Tools - Lecture series on
Lyapunov exponents VI
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Lecture series on Lyapunov exponents VI\nSpeaker: Daren Wei\, Penn State
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160329T153200
DTEND;TZID=America/New_York:20160329T180200
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=30036
SUMMARY:Working Seminar: Dynamics and its Working Tools - Lecture series on
Lyapunov exponents VII
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Lecture series on Lyapunov exponents VII\nSpeaker: Qiao Liu\, Penn State
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160405T153200
DTEND;TZID=America/New_York:20160405T180200
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=30035
SUMMARY:Working Seminar: Dynamics and its Working Tools - TBA
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: TBA\nAbstract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160412T153200
DTEND;TZID=America/New_York:20160412T180200
LOCATION:MB113
URL:http://www.math.psu.edu/seminars/meeting.php?id=31587
SUMMARY:Working Seminar: Dynamics and its Working Tools - A generalization
of a Differentiable Linearization of Philip Hartman
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: A generalization of a Differentiable Linearization of Philip Hartman\nSp
eaker: Sheldon Newhouse\, Michigan State University\nAbstract: A linear au
tomorphism L of $R^n$ is "bi-circular" if its spectrum lies in two disjoin
t circles $C_1\, C_2$ in the complex plane such that the radius of $C_1$ i
s less than 1 and the radius of $C_2$ is greater than 1. A fixed point
$p$ of $C^1$ diffeomorphism $f$ is "bi-circular" if the derivative $Df(p)$
is bi-circular. A well-known theorem of Philip Hartman\nsays that a bi
-circular fixed point $p$ of a $C^{1\,1}$ diffeomorphism $f$ (i.e. the de
rivative map is Lipschitz near $p$) is $C^1$ linearizable near $p$. We
extend this to the case in which $f$ is $C^{1\,a}$ with $0 < a < 1$ (i.e.
\, $Df$ is Holder continuous with exponent $a$). Our proof also works in
the infinite dimensional case where $R^n$ is replaced by a real Banach spa
ce which has $C^{1\,a}$ bump functions (e.g. Hilbert spaces). The result
s can be used to give simpler proofs under weaker differentiability assump
tions of results of L. P. Shilnikov (and his collaborators) giving horses
hoe type dynamics near certain homoclinic curves.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160419T153200
DTEND;TZID=America/New_York:20160419T180200
LOCATION:MB114
URL:http://www.math.psu.edu/seminars/meeting.php?id=30034
SUMMARY:Working Seminar: Dynamics and its Working Tools - TBA
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: TBA
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20160426T153200
DTEND;TZID=America/New_York:20160426T180200
LOCATION:MB113
URL:http://www.math.psu.edu/seminars/meeting.php?id=30033
SUMMARY:Working Seminar: Dynamics and its Working Tools - Lecture series on
Lyapunov exponents VIII
DESCRIPTION:Seminar: Working Seminar: Dynamics and its Working Tools\nTitle
: Lecture series on Lyapunov exponents VIII\nSpeaker: Daren Wei\, Penn Sta
te
END:VEVENT
END:VCALENDAR