ERC starting grant - 2018/2022 - COMBINEPIC - 759702

Title

Elliptic Combinatorics: Solving famous models from combinatorics, probability and statistical mechanics, via a transversal approach of special functions

Members

Kilian Raschel (Principal Investigator)
Andrew Elvey Price (Researcher)

PhD position to fill! (Sep. 2019/Aug. 2022)

Cotutelle with Gerold Alsmeyer from the University of Münster, Germany. Details are here. Please contact me if you would like to apply.

International conferences funded by the ERC project

Other events supported by the ERC project

They have been visiting the project

Gerold Alsmeyer, Alin Bostan, Manfred Buchacher, Elisabetta Candellero, Thomas Dreyfus, Andrew Elvey Price, Sandro Franceschi, Éric Fusy, Alexander Marynych, James Mcredmond, Marni Mishna, Samuel Simon, Pierre Tarrago, Wolfgang Woess, Yiqiang Q. Zhao

Publications

Related events

Summary of the ERC project

This 5-year project is devoted to the use of special functions in combinatorics, probability theory and statistical mechanics. The term "special functions" is understood here in a broad sense, including algebraic, differentially finite, (hyper)elliptic, hypergeometric functions, etc. In this project we focus on two major examples emanating from combinatorics and probability: Though deeply different, these domains have two points in common. First, they are fundamental research domains in combinatorics and probability: random walks in cones appear in the theory of quantum random walks, non-colliding random walks, planar maps, population biology, finance, etc.; integrable models of two-dimensional statistical mechanics (including the dimer model, the Ising model and spanning trees/forests) consist of the few models of the field which are exactly solvable, thus opening the way for remarkable exact formulas. Further, in both domains, the last ten years have seen the development of promising techniques to understand these exactly solvable models: functional equations, special functions and boundary value problems, to cite a few. We also propose applications in finance and population biology.

Contact

Feel free to contact me if you have questions.