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DTSTART;TZID=America/New_York:20230405T153000
DTEND;TZID=America/New_York:20230405T163000
DTSTAMP:20240111T070226Z
CREATED:20230807T173206Z
LAST-MODIFIED:20240111T070226Z
UID:10001193-1680708600-1680712200@cmsa.fas.harvard.edu
SUMMARY:Sampling from the SK and mixed p-spin measures with stochastic localization
DESCRIPTION:Probability Seminar \n\nSpeaker: Ahmed El Alaoui (Cornell) \nTitle: Sampling from the SK and mixed p-spin measures with stochastic localization \nAbstract: I will present an algorithm which efficiently samples from the Sherrington-Kirkpatrick (SK) measure with no external field at high temperature. The approach is based on the stochastic localization process of Eldan\, together with a subroutine for computing the mean vectors of a family of measures tilted by an appropriate external field. Conversely\, we show that no ‘stable’ algorithm can approximately sample from the SK measure at low temperature. Time permitting\, we discuss extensions to the p-spin model. This is based on a joint work with Andrea Montanari and Mark Sellke.
URL:https://cmsa.fas.harvard.edu/event/probability-4523/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Probability Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Probability-Seminar-04.05.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230410T150000
DTEND;TZID=America/New_York:20230410T160000
DTSTAMP:20240111T070433Z
CREATED:20230808T174720Z
LAST-MODIFIED:20240111T070433Z
UID:10001194-1681138800-1681142400@cmsa.fas.harvard.edu
SUMMARY:Localization for random band matrices
DESCRIPTION:Probability Seminar \n*Please note room change: Science Center 232* \n\nSpeaker: Ron Peled (Tel Aviv University) \nTitle: Localization for random band matrices \nAbstract: I will explain an approach via “an adaptive Mermin-Wagner style shift” which proves localization of N x N Gaussian random band matrices with band width W satisfying W << N^{1/4}. \nJoint work with Giorgio Cipolloni\, Jeffrey Schenker and Jacob Shapiro.
URL:https://cmsa.fas.harvard.edu/event/probability-41023/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Probability Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Probability-Seminar-04.10.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230412T153000
DTEND;TZID=America/New_York:20230412T163000
DTSTAMP:20240228T094844Z
CREATED:20230808T174934Z
LAST-MODIFIED:20240228T094844Z
UID:10001195-1681313400-1681317000@cmsa.fas.harvard.edu
SUMMARY:Large deviations of Selberg’s central limit theorem
DESCRIPTION:Probability Seminar \n\nSpeaker: Emma Bailey (CUNY) \nTitle: Large deviations of Selberg’s central limit theorem \nAbstract: Selberg’s CLT concerns the typical behaviour of the Riemann zeta function and shows that the random variable $\Re \log \zeta(1/2 + i t)$\, for a uniformly drawn $t$\, behaves as a Gaussian random variable with a particular variance.  It is natural to investigate how far into the tails this Gaussianity persists\, which is the topic of this work. There are also very close connections to similar problems in circular unitary ensemble characteristic polynomials.  It transpires that a `multiscale scheme’ can be applied to both situations to understand these questions of large deviations\, as well as certain maxima and moments. In this talk I will focus more on the techniques we apply to approach this problem and I will assume no number theoretic knowledge. This is joint work with Louis-Pierre Arguin.
URL:https://cmsa.fas.harvard.edu/event/probability-41223/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Probability Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Probability-Seminar-04.12.23.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230419T153000
DTEND;TZID=America/New_York:20230419T163000
DTSTAMP:20240111T082259Z
CREATED:20230808T175217Z
LAST-MODIFIED:20240111T082259Z
UID:10001196-1681918200-1681921800@cmsa.fas.harvard.edu
SUMMARY:Diagonalizing Transition Matrices of Card Shuffles
DESCRIPTION:Probability Seminar \nSpeaker: Evita Nestoridi (Stonybrook)\n\nTitle: Diagonalizing Transition Matrices of Card Shuffles \nAbstract: In their seminal work\, Diaconis and Shahshahani used representation theory of the symmetric group to diagonalize the transition matrix of random transpositions. More recently\, Dieker and Saliola introduced another technique to diagonalize the random-to-random card shuffle. In this talk we will discuss connections between these techniques as well as application to card shuffling.
URL:https://cmsa.fas.harvard.edu/event/probability-41923/
LOCATION:Science Center 232\, Harvard Science Center\, 1 Oxford Street\, Cambridge MA 02138
CATEGORIES:Probability Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Probability-Seminar-04.19.23.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20230426T153000
DTEND;TZID=America/New_York:20230426T163000
DTSTAMP:20240111T083026Z
CREATED:20230808T175545Z
LAST-MODIFIED:20240111T083026Z
UID:10001197-1682523000-1682526600@cmsa.fas.harvard.edu
SUMMARY:Boundary current fluctuations for the half space ASEP
DESCRIPTION:Probability Seminar \nSpeaker: Jimmy He (MIT) \nTitle: Boundary current fluctuations for the half space ASEP \nAbstract: The half space asymmetric simple exclusion process (ASEP) is an interacting particle system on the half line\, with particles allowed to enter/exit at the boundary. I will discuss recent work on understanding fluctuations for the number of particles in the half space ASEP started with no particles\, which exhibits the Baik-Rains phase transition between GSE\, GOE\, and Gaussian fluctuations as the boundary rates vary. As part of the proof\, we find new distributional identities relating this system to two other models\, the half space Hall-Littlewood process\, and the free boundary Schur process\, which allows exact formulas to be computed.
URL:https://cmsa.fas.harvard.edu/event/probability-42623/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Probability Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Probability-Seminar-04.26.23.png
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