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DTSTART:20250309T070000
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DTSTART:20241103T060000
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DTSTART;TZID=America/Toronto:20250807T143000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-seminar-tia-ruza
SUMMARY:Algebraic and enumerative combinatorics seminar-Tia Ruza
CLASS:PUBLIC
DESCRIPTION:TITLE: Multivariate Limit Theorems and Algebraic Generating Fun
 ctions\n\nSpeaker\n\nTia Ruza\n\nAffiliation\n University of Waterloo\n\nL
 ocation\n MC 5479\n\nABSTRACT: The field of analytic combinatorics in seve
 ral variables\n\n(ACSV) is dedicated to the creation of effective techniqu
 es to study\nthe large-scale behaviour of combinatorial objects. This talk
  provides\nresults for two areas of ACSV: limit theorems and asymptotics o
 f\nalgebraic generating functions. First\, I will describe an automated\na
 pproach to proving local central limit theorems and its applications\nto a
  variety of examples. Included in these examples will be a family\nof perm
 utations with restricted cycles\, integer compositions with\ntracked summa
 nds and n-colour compositions with tracked summands. The\nsecond half of t
 he talk will survey techniques for analyzing\nmultivariate algebraic gener
 ating functions\, going into detail\nspecifically for the process of embed
 ding an algebraic generating\nfunction into a sub-series of a rational fun
 ction of more variables.\nFor both parts of the talk\, SageMath code which
  automates the methods\ndiscussed will be demonstrated for various example
 s.\n\nTHERE WILL BE A PRE-SEMINAR PRESENTING RELEVANT BACKGROUND AT THE\nB
 EGINNING GRADUATE LEVEL STARTING AT 1:30PM.
DTSTAMP:20260403T080923Z
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