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X-WR-CALNAME:Department of Mathematics
X-ORIGINAL-URL:https://math.unc.edu
X-WR-CALDESC:Events for Department of Mathematics
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TZID:America/New_York
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TZOFFSETFROM:-0500
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DTSTART:20210314T070000
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TZOFFSETFROM:-0400
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DTSTART:20211107T060000
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210414T130000
DTEND;TZID=America/New_York:20210414T140000
DTSTAMP:20210414T071737
CREATED:20210311T153041Z
LAST-MODIFIED:20210406T180409Z
UID:6832-1618405200-1618408800@math.unc.edu
SUMMARY:Igor Mezic\, University of California at Santa Barbara - Ergodic Theory Seminar
DESCRIPTION:Igor Mezic\, University of California at Santa Barbara \nTime: 1:00 pm Eastern Time \nTitle: Ergodic theory and Koopman operator theory for dissipative systems \nAbstract: Classical Koopman operator theory provides a fruitful template for studies in ergodic theory of measure-preserving systems. It is of interest to extend its use to studies of dissipative systems – those that are globally attractive (in Birkhoff sense) to an invariant ergodic measure that is singular with respect to a predefined measure of interest (e.g. Lebesgue measure). The issue that arises is that of appropriate functional spaces to work in (pure L^2 theory has some issues)\, and we define these using an internal tensor product. As a consequence of the nature of the functional space\, the spectrum of the operator is simplified. The extension also leads to new geometric objects related to state space partitions\, such as isostables\, and enables efficient analysis of physical models\, but also of data.\n\n\n\n
URL:https://math.unc.edu/event/igor-mezic-ergodic-theory-seminar/
CATEGORIES:Ergodic Theory Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210416T160000
DTEND;TZID=America/New_York:20210416T170000
DTSTAMP:20210414T071737
CREATED:20210205T205658Z
LAST-MODIFIED:20210412T193801Z
UID:6760-1618588800-1618592400@math.unc.edu
SUMMARY:Pablo Seleson - Applied Mathematics Seminar
DESCRIPTION:Pablo Seleson\, Computational and Applied Mathematics Group at Oak Ridge National Laboratory (ORNL) \nTitle: Peridynamics: A Framework for Fracture\, Multiscale\, and Complex Materials Modeling \nAbstract: Fracture prediction as well as computational modeling of mutiscale and other complex materials behavior are ongoing challenges in materials science and computational science and engineering. Peridynamics offers a new framework to overcome these challenges through governing equations that naturally represent material discontinuities\, introduce length scales\, and allow for general constitutive relations. Peridynamics is a nonlocal reformulation of classical continuum mechanics suitable for material failure and damage simulation. In this presentation\, we will provide an overview of peridynamics and illustrate some of its capabilities in scale-bridging and modeling of anisotropic media.
URL:https://math.unc.edu/event/pablo-seleson-applied-mathematics-seminar/
CATEGORIES:Applied Mathematics Colloquium
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210421T190000
DTEND;TZID=America/New_York:20210421T200000
DTSTAMP:20210414T071737
CREATED:20210406T180524Z
LAST-MODIFIED:20210406T180524Z
UID:6865-1619031600-1619035200@math.unc.edu
SUMMARY:Professor Raul Ures\, Shenzhen University - Ergodic Theory Seminar
DESCRIPTION:Raul Ures\, Shenzhen University \nTime: 7:00 pm Eastern Time \nTitle: \nAbstract:
URL:https://math.unc.edu/event/professor-raul-ures-shenzhen-university-ergodic-theory-seminar/
CATEGORIES:Ergodic Theory Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210421T190000
DTEND;TZID=America/New_York:20210421T200000
DTSTAMP:20210414T071737
CREATED:20210412T145412Z
LAST-MODIFIED:20210412T145412Z
UID:6876-1619031600-1619035200@math.unc.edu
SUMMARY:Raul Ures\, SOUTHERN UNIVERSITY OF SCIENCE AND TECHNOLOGY\, CHINA - Ergodic Theory Seminar
DESCRIPTION:Speaker: Raul Ures\, SOUTHERN UNIVERSITY OF SCIENCE AND TECHNOLOGY- CHINA \nWhen: April 21st @ 7:00 pm Eastern Time. \nTitle: ROBUST TRANSITIVITY REVISITED: NON-UNIFORMLY EXPANDING BUNDLES \nAbstract: We study the relationship between non-uniformly expanding bundles and robust transitivity. In particular\, we show that if f is a partially hyperbolic diffeomorphism with mostly expanding center and its stable foliation is minimal\, the stable foliation is C 1 -robustly minimal. This is a consequence of a more general result where the condition of mostly expansiveness is replaced by a weak form of expansion along the center direction. Our techniques allow us to present new examples of robustly transitive diffeomorphisms. For instance\, we show that for a generic volume preserving perturbation of the time-one map of the geodesic flow of a surface with constant negative curvature\, either the strong stable or the strong unstable foliation is robustly minimal in its dissipative neighborhood. Other examples are DA diffeomorphisms of the 3-torus with enough center-unstable volume expansion; they also have robustly minimal stable foliation. This talk is based in joint works with Jana R. Hertz and Jiagang Yang\, and with Marcelo Viana and Jiagang Yang. \n
URL:https://math.unc.edu/event/raul-ures-southern-university-of-science-and-technology-china-ergodic-theory-seminar/
CATEGORIES:Ergodic Theory Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210422T160000
DTEND;TZID=America/New_York:20210422T170000
DTSTAMP:20210414T071737
CREATED:20210319T132131Z
LAST-MODIFIED:20210319T134137Z
UID:6848-1619107200-1619110800@math.unc.edu
SUMMARY:Ron Devore\, Texas A&M University - Mathematics Colloquium
DESCRIPTION:Speaker: Ron Devore \nAffiliation: Texas A&M University \nTime: 4pm\, 04/22/21 \nTitle: TBA
URL:https://math.unc.edu/event/ron-devore-texas-am-university-applied-mathematics-colloquium/
CATEGORIES:Mathematics Colloquium
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210422T160000
DTEND;TZID=America/New_York:20210422T170000
DTSTAMP:20210414T071737
CREATED:20210409T150243Z
LAST-MODIFIED:20210409T150341Z
UID:6870-1619107200-1619110800@math.unc.edu
SUMMARY:Ron DeVore - Joint Mathematics and Applied Mathematics Colloquium
DESCRIPTION:Speaker: Ron DeVore \nDate: Thursday\, April 22\, Joint Mathematics and Applied Mathematics Colloquium \nTitle: Deep Learning and Neural Networks \nAbstract: Deep Learning has achieved much publicized empirical success. But there remains no\nrigorous proof that DL works\, when it works\, why it works. This talk will give the mathematical\nview of deep learning and try to understand this gap between theory and practice.
URL:https://math.unc.edu/event/ron-devore-joint-mathematics-and-applied-mathematics-colloquium/
CATEGORIES:Applied Mathematics Colloquium,Mathematics Colloquium
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210430T160000
DTEND;TZID=America/New_York:20210430T170000
DTSTAMP:20210414T071737
CREATED:20210317T145036Z
LAST-MODIFIED:20210317T145036Z
UID:6837-1619798400-1619802000@math.unc.edu
SUMMARY:Nick Moore\, US Naval Academy - Applied Mathematics Seminar
DESCRIPTION:Nick Moore\, US Naval Academy \nTitle: Anomalous waves induced by abrupt depth change: laboratory experiments and KdV statistical mechanics \nAbstract: I will discuss both laboratory experiments and a newly developed theory to describe randomized surface waves propagating over variable bathymetry. The experiments show that an abrupt depth change can qualitatively alter wave statistics\, transforming an initially Gaussian wave field into a highly skewed one. In our experiments\, the probability of a rogue wave can increase by a factor of 50 when compared to Gaussian. A new theoretical framework\, based on dynamical and statistical analysis of the truncated KdV equations\, accurately captures key features of the experiments\, including the skewed wave distributions that emerge downstream and the associated excitation of higher frequencies in the spectrum. More recently obtained rigorous results suggest a highly-efficient and parallelizable sampling strategy to be implemented on a GPU.\n\n\n\n \n
URL:https://math.unc.edu/event/nick-moore-us-naval-academy-applied-mathematics-seminar/
CATEGORIES:Applied Mathematics Colloquium
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