COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > The harmonic-measure distribution function of a planar domain, and the Schottky-Klein prime function

## The harmonic-measure distribution function of a planar domain, and the Schottky-Klein prime functionAdd to your list(s) Download to your calendar using vCal - Lesley Ward (University of South Australia)
- Friday 13 September 2019, 10:00-11:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. CATW01 - The complex analysis toolbox: new techniques and perspectives The $h$-function or harmonic-measure distribution function $h® = h_{\Omega, z_0}(r)$ of a planar region $\Omega$ with respect to a basepoint $z_0$ in $\Omega$ records the probability that a Brownian particle released from $z_0$ first exits $\Omega$ within distance $r$ of $z_0$, for $r > 0$. For simply connected domains $\Omega$ the theory of $h$-functions is now well developed, and in particular the $h$-function can often be computed explicitly, making use of the Riemann mapping theorem. However, for multiply connected domains the theory of $h$-functions has been almost entirely out of reach. I will describe recent work showing how the Schottky-Klein prime function $\omega(\zeta,\alpha)$ allows us to compute the $h$-function explicitly, for a model class of multiply connected domains. This is joint work with Darren Crowdy, Christopher Green, and Marie Snipes. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsMarxist Discussion Group Talks Type the title of a new list here Seminar## Other talksTET-family dioxygenases, immune responses and cancer An approximate version of Jackson's conjecture REF2021 Open Access Workshop Rapid Identification of Bacteria and AMR Directly from Clinical Samples Using Mass Spectrometry Asymptotic zero distribution of generalized hypergeometric polynomials Gene targeting therapies – what does the future hold for neurological disorders? |