Hugo Duminil-Copin

Hugo Duminil-Copin (born August 26, 1985 in Châtenay-Malabry ) is a French mathematician.

Hugo Duminil-Copin (left) with Gady Kozma in Oberwolfach

Duminil-Copin attended the Lycée Louis-le-Grand in Paris and studied at the École normal supérieure and the University of Paris XI . In 2011 he received his doctorate from the University of Geneva under Stanislaw Smirnow . He stayed in Geneva as a post-doctoral student and is an assistant professor there. He also conducts research at the Weizmann Institute and has also been a visiting scientist at the IMPA several times . Since 2016 he has been a professor at the Institut des Hautes Études Scientifiques ( IHÉS ) in Bures-sur-Yvette , France

It deals with the interface of probability theory , combinatorics and mathematical physics, in particular two-dimensional stochastic models, the compliant structure and its critical behavior as percolation theory , is self-avoiding random walks (Self Avoiding Random Walk ), random cluster model , Ising model , Potts model . Duminil-Copin made advances on important problems in this area. Smirnov, proving that the connection constant (constant connectivity) in the hexagonal honeycomb grating , that is the number of self-avoiding Direction random paths of length grows asymptotically with . With Vincent Beffara he determined the critical points for the random cluster model (they proved a long open conjecture that the critical point is equal to the self-dual point ) and the Potts model on square grids, and with Alan Hammond he proved that self-avoiding random Walks are sub-ballistic . ${\displaystyle c={\sqrt {2+{\sqrt {2}}}}}$ ${\displaystyle N}$ ${\displaystyle c^{N}}$

Further work concerns bootstrap percolation and random walk in random environments.

In 2012 he received the Rollo Davidson Prize and in 2013 the Oberwolfach Prize . In 2016 he received the EMS Prize . For 2017 he was awarded the New Horizons in Mathematics Prize , the Prix ​​Jacques Herbrand and the Loève Prize . In 2019 Duminil-Copin was elected to the Academia Europaea .

Fonts

• La percolation, un jeu de pavages aléatoires, Pour la Science, September 2011
• with Roland Bauerschmidt, Jesse Goodman, Gordon Slade Lectures on self-avoiding walks , IMPA, Clay Math. Institute 2010, Arxiv
• with Stanislaw Smirnow Conformal invariance of lattice models , Lecture Notes, Arxiv
• with Vincent Beffara: Planar percolation with a glimpse at Schramm-Loewner, La Pietra week in probability 2011, Arxiv
• with Béla Bollobás , József Balogh , R. Morris: The sharp threshold for bootstrap percolation in all dimensions, Trans. Amer. Math. Soc., Volume 364 2012, pp. 2667-2701. Arxiv

Web links

• Homepage

Individual evidence

1. ↑ see Renfrey Potts
2. ^ Hugo Duminil-Copin, Stanislav Smirnov The connectivity constant of the honeycomb lattice is ${\displaystyle {\sqrt {2+{\sqrt {2}}}}}$ , Annals of Mathematics, 175, 2012, 1653-1665, Arxiv
3. ↑ Beffara, Duminil-Copin, The self-dual point of the two-dimensional random cluster model is critical for ${\displaystyle q\geq 1}$ , Probability theory and related fields, Volume 153, 2012, pp. 511-542 Arxiv
4. ^ Duminil-Copin, Hammond Self avoiding walk is sub-ballistic , Arxiv Preprint 2012
5. ↑ Laudation, pdf