[Turkmath:4455] Bilkent Analiz Semineri 28 Nisan - Jacopo Borga

[Bilkent Mathematics]

Değerli liste üyeleri, 

Bilkent Matematik Bölümü Analiz Seminerleri kapsamında 28 Nisan 2020’de Jacopo Borga konuşmacı olacaktır. 

Jacopo Borga (Institut für Mathematik, Universität Zürich) - "Phase transitions for almost square permutations"

Özet: We explore scaling limits of uniform permutations in the classes Sq(n,k) of almost square permutations of size n+k with exactly k internal points (i.e. points that are not records). We first investigate the case when k=0. We characterize the global behavior by showing that square permutations have a limit which can be described by a random rectangle. We then characterize the limit of almost square permutations with k internal points, both when k is fixed and when k tends to infinity along a negligible sequence with respect to the size of the permutation: we will show during the seminar that a phase transition on the shape of the limiting rectangles arises for different values of k. Finally, we will present some work-in-progress-results when k is of the same order as n.


Tarih: 28 Nisan 2020 Salı, 16:00-17:00

Konuşma İnternet üzerinden ve İngilizce yapılacaktır. Katılmak isteyenlerin goncha at fen.bilkent.edu.tr adresine e-posta göndermeleri rica olunur.


Bilkent Matematik 
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