377 citations
- Institut Henri PoincaréFR12 papers
- Sorbonne UniversitéFR10 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- Institut CurieFR2 papers
- Laboratoire de Physique Théorique et Modèles StatistiquesFR2 papers
- Laboratoire Kastler BrosselFR2 papers
- Université de LorraineFR2 papers
- Université Paris CitéFR2 papers
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- University of MichiganUS2 papers
- Boston UniversityUS1 paper
- Center for Theoretical PhysicsPL1 paper
14 papers
Orthogonal polynomials and Smith normal form
Alexander R. Miller, Dennis Stanton
Smith normal form evaluations found by Bessenrodt and Stanley for some Hankel matrices of q-Catalan numbers are proven in two ways. One argument generalizes the Bessenrodt-Stanley…
The strict-weak lattice polymer
Ivan Corwin, Timo Seppäläinen, Hao Shen
We introduce the strict-weak polymer model, and show the KPZ universality of the free energy fluctuation of this model for a certain range of parameters. Our proof relies on the ob…
Scaling properties of energy spreading in nonlinear Hamiltonian two-dimensional lattices
Mario Mulansky, Arkady Pikovsky
In nonlinear disordered Hamiltonian lattices, where there are no propagating phonons, the spreading of energy is of subdiffusive nature. Recently, the universality class of the sub…
Non-vanishing of L-functions, the Ramanujan conjecture, and families of Hecke characters
Valentin Blomer, Farrell Brumley
We prove a non-vanishing result for families of $\GL_n\times\GL_n$ Rankin-Selberg -functions in the critical strip, as one factor runs over twists by Hecke characters. As an app…
Differences between mean-field dynamics and N-particle quantum dynamics as a signature of entanglement
Christoph Weiss, Niklas Teichmann
A Bose-Einstein condensate in a tilted double-well potential under the influence of time-periodic potential differences is investigated in the regime where the mean-field (Gross-Pi…
Non-linear estimation is easy
Michel Fliess, Cédric Join, Hebertt Sira-Ramirez
Non-linear state estimation and some related topics, like parametric estimation, fault diagnosis, and perturbation attenuation, are tackled here via a new methodology in numerical…