Seminar Calendar
for Probability Seminar events the next 12 months of Sunday, January 1, 2017.

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
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Tuesday, March 7, 2017

Probability Seminar
2:00 pm   in 347 Altgeld Hall,  Tuesday, March 7, 2017
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Submitted by wangjing.
Hui He (Beijing Normal University)
Gromov-Hausdorff -Prohorov convergence of vertex cut-trees of n-leaf Galton-Watson trees
Abstract: We study the vertex cut-tree of Galton-Watson trees conditioned to have n leaves. This notion is a slight variation of Dieuleveut's vertex cut-tree of Galton-Watson trees conditioned to have n vertices. Our main result is a joint Gromov-Hausdorff -Prohorov convergence in the finite variance case of the Galton-Watson tree and its vertex cut-tree to Bertoin and Miermont's joint distribution of the Brownian CRT and its cut-tree. The methods also apply to the infinite variance case, but the problem to strengthen Dieuleveut's and Bertoin and Miermont's Gromov-Prohorov convergence to Gromov-Hausdorff-Prohorov remains open for their models conditioned to have n vertices. This is a joint work with Matthias Winkel.

Tuesday, March 14, 2017

Probability Seminar
2:00 pm   in 347 Altgeld Hall,  Tuesday, March 14, 2017
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Submitted by wangjing.
Joseph Najnudel (University of Cincinnati)
On random multiplicative functions
Abstract: In this talk, we give a presentation of random multiplicative functions on the integers and their main properties. At the end of the talk, we state some results, proven in a preprint recently submitted, on the behaviour and the independence properties of such functions taken at consecutive integers.

Tuesday, March 28, 2017

Probability Seminar
2:00 pm   in 347 Altgeld Hall,  Tuesday, March 28, 2017
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Submitted by wangjing.
​Daesung Kim (Purdue University)
Hardy-Stein identity and square functions for pure jump Levy processes
Abstract: In the recent paper of R. Banuelos, K. Bogdan and T. Luks (2016), the authors prove $L^{p}$ bounds of square function for non-local operators and then applied them to prove $L^{p}$ bounds for certain Fourier multipliers. The key to the proof in that paper is a Hardy-Stein identity which is proved from properties of the semigroup. Using Ito’s formula for processes with jumps, we give a simple direct proof of the Hardy-Stein identity. Also, we extend the proof given in that paper to non-symmetric Levy-Fourier multipliers.

Tuesday, April 4, 2017

Probability Seminar
2:00 pm   in 347 Altgeld Hall,  Tuesday, April 4, 2017
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Submitted by wangjing.
Mei Yin (University of Denver )
To Be Announced

Friday, April 7, 2017

Probability Seminar
3:00 pm   in 343 Altgeld Hall ,  Friday, April 7, 2017
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Submitted by wangjing.
Zhen-Qing Chen (University of Washington)
Time fractional equations and probabilistic representation
Abstract: Time-fractional diffusion equation can be used to model the anomalous diffusions exhibiting subdiffusive behavior, due to particle sticking and trapping phenomena. In this talk, I will discuss general fractional-time derivatives and probabilistic representation of solutions of the corresponding parabolic equations in terms of the corresponding inverse subordinators with or without drifts. An explicit relation between occupation measure for Markov processes time-changed by inverse subordinator in open sets and that of the original Markov process in the open set will also be given.

Tuesday, April 11, 2017

Probability Seminar
2:00 pm   in 347 Altgeld Hall,  Tuesday, April 11, 2017
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Submitted by wangjing.
Maxim Raginsky (UIUC)
To Be Announced

Tuesday, April 18, 2017

Probability Seminar
2:00 pm   in 347 Altgeld Hall,  Tuesday, April 18, 2017
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Submitted by wangjing.
Ju-Yi Yen (University of Cincinnati)
To Be Announced

Tuesday, April 25, 2017

Probability Seminar
2:00 pm   in 347 Altgeld Hall,  Tuesday, April 25, 2017
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Submitted by wangjing.
Yizao Wang (University of Cincinnati)
To Be Announced

Tuesday, May 2, 2017

Probability Seminar
2:00 pm   in 347 Altgeld Hall,  Tuesday, May 2, 2017
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Submitted by wangjing.
Dana Mendelson (University of Chicago)
To Be Announced