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UID:10016269-1772800200-1772803800@uwm.edu
SUMMARY:Graduate Student Colloquium: Ilana Lavene
DESCRIPTION:An Introduction to Boundaries of Groups\nWe introduce a generalization of parking functions in which cars are limited in their movement backwards and forwards by two nonnegative integer parameters k and ℓ\, respectively. In this setting\, there are n spots on a one-way street and m cars attempting to park in those spots\, and 1≤m≤n. We let α= (a1\,a2\,…\,am) in [n]^m denote the parking preferences for the cars\, which enter the street sequentially. Car i drives to their preference a_i and parks there if the spot is available. Otherwise\, car i checks up to k spots behind their preference\, parking in the first available spot it encounters if any. If no spots are available\, or the car reaches the start of the street\, then the car returns to its preference and attempts to park in the first spot it encounters among spots a_i+1\,a_i+2\,…\,a_i+l. If car i fails to park\, then parking ceases. If all cars are able to park given the preferences in α\, then α is called a (k\,l)-pullback (m\,n)-parking function. Our main result establishes counts for these parking functions via a recursive formula.
URL:https://uwm.edu/math/event/graduate-student-colloquium-ilana-lavene/
LOCATION:EMS Building\, E495\, 3200 N Cramer St\, Milwaukee\, WI\, United States
CATEGORIES:Graduate Student Colloquia
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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DTSTART;TZID=America/Chicago:20260306T140000
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CREATED:20260223T204210Z
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UID:10016268-1772805600-1772809200@uwm.edu
SUMMARY:Colloquium: Dr. Elaine Spiller
DESCRIPTION:Uncertainty Quantification for Geophysical Hazard Analysis\nDr. Elaine Spiller\nProfessor of Applied Math and Statistics\nMarquette University \nGeophysical flows — landslides\, storm surge\, tsunamis\, volcanic flows\, etc — pose a serious threat to nearby populations. Ideally\, probabilistic hazard assessments combine available knowledge about physical mechanisms of the hazard\, data on past hazards\, and any available precursor information. Systematically assessing the probability of rare\, yet catastrophic hazards adds a layer of difficulty due to limited observational data. Via computer models\, one can exercise potentially dangerous scenarios that may not have happened in the past but are probabilistically consistent with the aleatoric nature of previous geophysical behavior in the record. \nI will discuss recent work and ongoing methodological challenges toward making efficient and flexible geophysical hazard maps focusing on applications to volcanic flows (pyroclastic density currents) and post-fire debris flows.
URL:https://uwm.edu/math/event/colloquium-dr-elaine-spiller/
LOCATION:EMS Building\, E495\, 3200 N Cramer St\, Milwaukee\, WI\, United States
CATEGORIES:Colloquia
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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