seminars:anal

## The Analysis Seminar

The seminar meets Wednesdays in WH-100E at 4:30 p.m. There are refreshments and snacks in WH-102 at 3:15.

The seminar is partly funded as one of Dean's Speaker Series in Harpur College (College of Arts and Sciences) at Binghamton University.

Organizers: Paul Loya, Peng Shao, Xiangjin Xu, and Lu Zhang

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### Spring 2016

* January 18th, Wednesday (3:30-4:30pm)

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* January 25th, Wednesday (3:30-5:00pm)

Speaker : Timur Akhunov
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* February 1st, Wednesday (3:30-4:30pm)

Speaker : Lu Zhang
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* February 8th, Wednesday (3:30-4:30pm)

Speaker : Hyunchul Park (SUNY - New Paltz )
Topic: Spectral heat content for symmetric stable processes for general open sets in $\mathbb{R}^1$

Abstract: In this talk, we study asymptotic behavior of spectral heat content with respect to symmetric stable processes for arbitrary open sets with finite Lebesgue measure in a real line. Spectral heat content can be interpreted as fractional heat particles that remain in the open sets after short time $t > 0$. We are mainly interested in the relationship between the heat content and the geometry of the domain. Three different behaviors appear depending on the stability indices $\alpha$ of the stable processes and in each case different geometric objects of the domain are discovered in the asymptotic expansion of the corresponding heat content expansion. This is a joint work with R. Song and T. Grzywny.

* February 15th, Wednesday (3:30-4:30pm)

Speaker : Lu Zhang
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* February 22nd, Wednesday (3:30-4:30pm)

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* March 1st, Wednesday (3:30-4:30pm)

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* March 8th, Wednesday (3:30-4:30pm)

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* March 15th, Wednesday (3:30-4:30pm)

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* March 22nd, Wednesday (3:30-4:30pm)

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* March 29th, Wednesday (3:30-4:30pm)

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* April 5th, Wednesday (3:30-4:30pm)

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* April 12th, Wednesday (3:30-4:30pm)

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* April 19th, Wednesday (3:30-4:30pm)

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* April 26th, Wednesday (3:30-4:30pm)

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* May 3rd, Wednesday (3:30-4:30pm)

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