Batı Şengül

Probability Theory. Postdoc at the University of Bath.

Probability Theory. Postdoc at the University of Bath.

I am currently a postdoc at the University of Bath working with Andreas Kyprianou. Previously I studied for a PhD at the University of Cambridge with Nathanael Berestycki.

You can email me at b.sengul [at] bath()ac()uk.

- Deep factorisation of the stable process II; potentials and applications [pdf] [arxiv]
*with Andreas Kyprianou and Victor Rivero*, submitted- Conditioned subordinators and appdtcations [pdf] [arxiv]
*with Andreas Kyprianou and Victor Rivero*, submitted- Cutoff for conjugacy-invariant random walks on the permutation group [pdf] [arxiv]
*with Nathanaël Berestycki*, submitted

**Scaling Limit of Coalescent Processes Near Time Zero**[pdf] [arxiv]- Ann. Inst. H. Poincaré, to appear
**Combined First and Second Order Total Variation Inpainting using Split Bregman**[IPOL] [pdf] [code]*with Kostas Papafitsoros and Carola Schoenlieb*, Image Processing On Line (2013)

Every **Tuesday 2-4pm** starting from Tuesday 2nd of February. The TCC room at the University of Bath is located in 3 West 4.13.

This graduate course will give an introduction to the rigorous study of coalescent processes. These processes arise from in population genetics as the ancestral relationships of a sample of organisms. Our interest here is purely mathematical. I will introduce Kingman's coalescent and Lambda-coalescents, then present the recent results.

This course will require a solid background in probability (random walks, martingales etc.) Nathanaël Berestycki's book (which is freely available on his website) on this subject is an excellent reference. Jean Bertoin's book on this subject is a little bit more general that what we will be covering, but nevertheless is an other great reference.

I have written up the lecture notes and will be updating them as I go along. If you see any error or typos, please contact me.

Update 05/02 - Chapter 1

Update 05/02 - Chapter 2 (part 1)