| * Venue | Media Centre |
| * Speaker | Tanmoy Bera |
| * Title | Poissonian pair correlation in higher dimensions |
| Affiliation | IMSc |
| Abstract | In this talk, we will discuss Poissonian pair correlation (PPC) property of $d$-dimensional sequence $(\{\boldsymbol{a}_n\boldsymbol{\alpha}\})\subseteq(0,1]^d,$ where $(\boldsymbol{a}_n)$ is a sequence of $\mathbb{R}_{>0}^d.$ We will show that under condition on the joint additive energy of integer vector $(\boldsymbol{a}_n),$ the sequence $(\{\boldsymbol{a}_n\boldsymbol{\alpha}\})$ has $\infty$-PPC and $2$-PPC for almost all $\boldsymbol{\alpha}\in\mathbb{R}^d.$ Also, we will discuss the sequence when $(\boldsymbol{a}_n)$ is a real vector. In the last part of the talk, for integer vector sequence $(\boldsymbol{a}_n)$ we will discuss the minimal gaps for the $(\{\boldsymbol{a}_n\alpha\})$ for almost all $\boldsymbol{\alpha}.$ |
| * Announcement? | None |
| * Refreshments? | None |
| * Honorarium? | None |
| Special Arrangements? | None |
| * Host name and email | Anirban Mukhopadhyay @@ anirban@imsc.res.in |