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DTSTAMP:20260120T231803
DTSTART;TZID=America/Detroit:20260126T160000
DTEND;TZID=America/Detroit:20260126T170000
SUMMARY:Livestream / Virtual:Painlevé Universality class for the maximal amplitude solution of the Focusing Nonlinear Schrödinger Equation with randomness
DESCRIPTION:In this work\, we establish universality results for the $N$-soliton solution of the focusing NLS equation at maximal amplitude. Specifically\, we choose the associated normalization constants so that the solution achieves its maximal peak\, which\, in the large-$N$ limit\, satisfies a Painlevé-type equation independently of the distribution of the (random) discrete eigenvalues. We identify two distinct universality classes\, determined by the structure of the discrete eigenvalues: the \textit{Painlevé--III} and \textit{Painlevé--V} rogue-wave solutions. In the Painlevé--III case\, the eigenvalues take the form $\lambda_j = v_j + i \mu_j$\, while for Painlevé--V they satisfy $\lambda_j = -\zeta \\, j + v_j + i \mu_j$\, with $0 < \zeta < 1$. In both cases\, $v_j$ and $\mu_j$ are sub-exponential random variables. Universality can then be summarized as follows: regardless of the specific realizations of the amplitudes and velocities\, provided they are sub-exponential random variables and the normalization constants are chosen to maximize the \(N\)-soliton solution\, the resulting maximal peak always corresponds to either a Painlevé--III or Painlevé--V rogue-wave profile in the large-$N$ limit.
UID:142833-21891725@events.umich.edu
URL:https://events.umich.edu/event/142833
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Seminar,Virtual,Mathematics
LOCATION:Off Campus Location
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20260127T101229
DTSTART;TZID=America/Detroit:20260126T160000
DTEND;TZID=America/Detroit:20260126T173000
SUMMARY:Reception / Open House:Stamping and Stomping: community inspired relief prints
DESCRIPTION:Artist's Reception and Talk \n-- \n\nCurrently based in Ann Arbor\, Paloma Núñez-Regueiro is a Mexican printmaker born in Lima\, Peru. Paloma attended art college in Mexico\, where she came face to face with printmaking during her first year at the Facultad de Artes Plásticas (College of Arts) in Xalapa\, Veracruz. She became fascinated with the possibilities that printmaking offers\, as well as its importance in popular resistance throughout history. In 1997\, she transferred to the Rochester Institute of Technology with an International Student Scholarship.\n\n-- \nAmongst the subjects that interest her are human migration\, social in-visibility\, and the intrinsic relation of humans to the universe as well as our dislocated relationship to it. She currently explores the vicissitudes of minorities and their stories in order to create a better understanding of their issues. By offering portraits of minorities and their stories\, Nunez-Regueiro’s goal is to create supportive communities for those who need to feel rooted in their geographical space and their present time. \n\nNúñez-Regueiro work is closely related to her experiences of living abroad — the impermanence\, the precarious construction of one's present and even less of one’s future. It is about the rootlessness of those of us who move from place to place. She is an incessantly positive artist and she profoundly believes in art as a tool to create the social change that can lead us to thoughtful actions\, and the bettering of ourselves and our communities.
UID:144224-21894926@events.umich.edu
URL:https://events.umich.edu/event/144224
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Arts Initiative,arts at michigan,Arts And Ideas In The Humanities,arts,artists and curators,artists,art and design,Art,Ann Arbor,All Majors Welcome
LOCATION:East Quadrangle - RC Art Gallery
CONTACT:
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