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DTSTAMP:20240930T095251
DTSTART;TZID=America/Detroit:20241025T150000
DTEND;TZID=America/Detroit:20241025T160000
SUMMARY:Lecture / Discussion:AIM Seminar: Collective dynamics of swarmalators with time-delayed interaction
DESCRIPTION:Abstract:  Swarmalators are active particles that have internal phases and also swarm through space.  Phase synchronization is affected by spatial arrangement\, and spatial motion is affected by phase synchronization.  Swarmalators have recently been realized in robotics labs\, and may also play a role in describing collective behavior of biological organisms.  In this work I will describe the effects of time delay in interactions on collective dynamics of a population of swarmalators.   Delay resulted in the appearance of new collective states.  One such state is a pseudo-crystaline structure - in which swarmalators form a quasi-static cluster\, and another is a boiling state in which swarmalators near the boundary of the cluster perform convective motions.  In both cases\, the route to these states takes place through an oscillatory transient in which the whole cluster “breathes”.  Remarkably\, just a pair of nonlinear equations (in a system of N swarmalators) describes the behavior of the cluster during this transient.  This system also exhibits an intriguing aging phenomenon.  I will describe the specific mechanism by which the system ages - which involves gradual increase in the hexatic order parameter\, accompanied by a series of annihilations of coordination number defect pairs.  \n\nContact:  Evgeniy Khain (Oakland University)
UID:121471-21846583@events.umich.edu
URL:https://events.umich.edu/event/121471
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 1084
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20241018T105332
DTSTART;TZID=America/Detroit:20241025T150000
DTEND;TZID=America/Detroit:20241025T160000
SUMMARY:Workshop / Seminar:Arctic Curves of T-system with Slanted Initial Data (combinatorics seminar)
DESCRIPTION:We study the T-system of type 𝐴∞\, also known as the octahedron recurrence/equation\, viewed as a 2 + 1-dimensional discrete evolution equation. Generalizing earlier work on arctic curves for the Aztec Diamond obtained from solutions of the octahedron recurrence with “flat\" initial data\, we consider initial data along parallel “slanted\" planes perpendicular to an arbitrary admissible direction (𝑟\, 𝑠\, 𝑡) in Z^3 . The corresponding solutions of the T-system are interpreted as partition functions of dimer models on some suitable “pinecone\" graphs introduced by Bousquet-Melou\, Propp\, and West in 2009. The T-system formulation and some exact solutions in uniform and periodic cases allow us to explore the scaling limit of the corresponding dimer models and to derive exact arctic curves separating the various phases of the system. This approach bypasses the standard general theory of dimers using the Kasteleyn matrix and uses instead the theory of Analytic Combinatorics in Several Variables.
UID:124573-21853214@events.umich.edu
URL:https://events.umich.edu/event/124573
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 4096
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20240913T140344
DTSTART;TZID=America/Detroit:20241025T150000
DTEND;TZID=America/Detroit:20241025T160000
SUMMARY:Meeting:DocDi
DESCRIPTION:The DocDi Group is a collaborative forum\, open to both students and faculty\, who share an interest in the areas of Field Linguistics\, Fieldwork Methods\, Language Documentation\, and Language Description. Serving as an invaluable platform for friendly intellectual exchange\, DocDi promotes an interactive environment where members have the opportunity to present their respective research\, share their experiences\, and discuss innovative ideas and tools aimed at augmenting the effectiveness of fieldwork and documentary/descriptive projects.
UID:126392-21857067@events.umich.edu
URL:https://events.umich.edu/event/126392
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Language Documentation,Linguistic Fieldwork Methodologies
LOCATION:Off Campus Location
CONTACT:
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