Thursday, 2 April, 2020
Megan Griffin-Pickering, Mikaela Iacobelli

In these notes we summarise some recent developments on the existence and uniqueness theory for Vlasov-type equations, both on the torus and on the whole space.

Monday, 30 March, 2020
Anton Alekseev, Benjamin Hoffman, Jeremy Lane, Yanpeng Li

Coadjoint orbits and multiplicity free spaces of compact Lie groups are important examples of symplectic manifolds with Hamiltonian groups actions. Constructing action-angle variables on these...

Wednesday, 18 March, 2020
Domenico Orlando, Susanne Reffert, Francesco Sannino

We investigate the properties of near-conformal dynamics in a sector of large charge when approaching the lower boundary of the conformal window from the chirally broken phase. To elucidate our...

Monday, 16 March, 2020
Marc Gillioz, Marco Meineri, Joao Penedones

We define form factors and scattering amplitudes in Conformal Field Theory as the coefficient of the singularity of the Fourier transform of time-ordered correlation functions, as p^2 \to 0. In...

Monday, 9 March, 2020
Alessio Figalli, Yi Ru-Ya Zhang

We prove a sharp quantitative version of the p-Sobolev inequality for any 1<p<n, with a control on the strongest possible distance from the class of optimal functions. Surprisingly, the...

Thursday, 5 March, 2020
Benoit Fresse, Thomas Willwacher

We define a simplicial enrichment on the category of differential graded Hopf cooperads (the category of dg Hopf cooperads for short). We prove that our simplicial enrichment satisfies, in part...

Thursday, 5 March, 2020
Laurent Laflèche, Chiara Saffirio

In this paper we consider the semiclassical limit from the Hartree to the Vlasov equation with general singular interaction potential including the Coulomb and gravitational interactions, and we...

Tuesday, 3 March, 2020
Shishir Khandelwal, Nicolas Palazzo, Nicolas Brunner, Géraldine Haack

Autonomous entanglement engines have recently been proposed to generate steady-state bipartite and multipartite entanglement exploiting only incoherent interactions with thermal baths at...

Monday, 2 March, 2020
Chiara Saffirio

We review the recent results [45, 46] concerning the semiclassical limit from the Hartree dynamics to the Vlasov equation with singular potentials and extend them to the case of more general...

Sunday, 1 March, 2020
Alexandr Buryak, Amitai Netser Zernik, Rahul Pandharipande, Ran J. Tessler

We define stationary descendent integrals on the moduli space of stable maps from disks to (\mathbb{CP}^1,\mathbb{RP}^1). We prove a localization formula for the stationary theory involving...

Sunday, 1 March, 2020
Megan Griffin-Pickering, Mikaela Iacobelli

This work is concerned with the study of singular limits for the Vlasov-Poisson system in the case of massless electrons (VPME), which is a kinetic system modelling the ions in a plasma. Our...

Journal de Mathématiques Pures et Appliquées Vol 135, 03 2020, 199-255
Wednesday, 26 February, 2020
Wendelin Werner

We discuss random geometric structures obtained by percolation of Brownian loops, in relation to the Gaussian Free Field, and how their existence and properties depend on the dimension of the...