93 citations
- Centre de Physique ThéoriqueFR4 papers
- University of PerugiaIT4 papers
- California Institute of TechnologyUS3 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Independent University of MoscowRU3 papers
- University of ViennaAT3 papers
- Imperial College LondonGB2 papers
- Texas A&M UniversityUS2 papers
- Horia Hulubei National Institute for R and D in Physics and Nuclear EngineeringRO1 paper
- Institut FourierFR1 paper
- Laboratoire de Physique Théorique de la Matière CondenséeFR1 paper
- Laboratoire de Physique Théorique et Modèles StatistiquesFR1 paper
5 papers · 1 filter
Weighted Energy Decay for 1D Dirac Equation
E. Kopylova
We obtain a dispersive long-time decay in weighted energy norms for solutions of the 1D Dirac equation with generic potential. The decay extends the results obtained by Jensen, Kat…
Scattering of Solitons for Dirac Equation Coupled to a Particle
A. Komech, E. Kopylova, H. Spohn
We establish soliton-like asymptotics for finite energy solutions to the Dirac equation coupled to a relativistic particle. Any solution with initial state close to the solitary ma…
Airy kernel with two sets of parameters in directed percolation and random matrix theory
A. Borodin, S. Peche
We introduce a generalization of the extended Airy kernel with two sets of real parameters. We show that this kernel arises in the edge scaling limit of correlation kernels of dete…
Spontaneous Resonances and the Coherent States of the Queuing Networks
Alexander Rybko, Senya Shlosman, Alexander Vladimirov
We present an example of a highly connected closed network of servers, where the time correlations do not go to zero in the infinite volume limit. This phenomenon is similar to the…
Dobrushin Interfaces via Reflection Positivity
Senya Shlosman, Yvon Vignaud
We study the interfaces separating different phases of 3D systems by means of the Reflection Positivity method. We treat discrete non-linear sigma-models, which exhibit power-law d…