Proposed visit of Professor Gunter Last (Karlsruhe University, Germany)

Lead Research Organisation: Heriot-Watt University
Department Name: S of Mathematical and Computer Sciences

Abstract

The aim of this proposal is to bring Professor Gunter Last of Karlsruhe University, a distinguished mathematician withparticular expertise in the probability theory of stochastic geometryand stochastic stability, tothe UK for a period of two months. During this period ProfessorLast would give a short course on ``Some topics in stochastic geometry'' at Heriot-Watt University under an umbrella of Maxwell Institute, andwould hold an intensive exchange of ideas with the proposedInvestigators and their colleagues as an initial phase of proposedcollaboration. He would also visit other UK Institutions to giveseminar talks and to hold further scientific discussions with colleaguesat those places.

Publications

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Last, G. (2011) Characterization of mass-stationarity by Bernoulli and Cox transports in Communications on Stochastic Analysis

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Last, G. (2014) Unbiased shifts of Brownian motion in Annals of Probability

 
Description Our discussion (Prof Last, Prof Konstantopoulos, Prof Foss) was essential for promoting the beautiful theory of stable matchings and allocations. The the stable allocation theory
won the Nobel price in economics in 2012
(Lloyd Shapley and Alvin Roth).
Exploitation Route It is important for teaching students (including students of economics) and for a new textbook "Lectures on the Poisson Process" (by Guenter Last and Mathew Penrose), to be published by OUP. The book will contain a chapter on stable allocations and the extra head problem.
Sectors Education,Other

 
Description Prof Last has written two papers (they were published in top journals) , with acknowledgements to the grant. Jointly with Prof Penrose (U of Bath) he has written an advanced textbook (to be published by OUP). Prof Foss and Prof Konstantopoulos used the ideas in joint paper (2010). Prof Last has given a series of lectures attended by colleagues from several Scottish universities.
First Year Of Impact 2010
Sector Education,Other
Impact Types Cultural