Francesca Da Lio,Katarzyna Mazowiecka,Armin Schikorra
Francesca Da Lio
We prove that for antisymmetric vector field Ω with small L 2 -norm there exists a gauge A ∈ L ∞ ∩ W ˙ 1 / 2 , 2 ( R 1 , G L ( N ) ) such that div 1 2 ( A Ω - d 1 2 A ) = 0 . This extends a...
Bang-Xian Han,Karl-Theodor Sturm
Bang-Xian Han
We derive precise transformation formulas for synthetic lower Ricci bounds under time change. More precisely, for local Dirichlet forms we study how the curvature-dimension condition in the sense of Bakry-Émery will transform under time ch...
Christian Müller,Amir Vaxman
Christian Müller
Motivated by a Möbius invariant subdivision scheme for polygons, we study a curvature notion for discrete curves where the cross-ratio plays an important role in all our key definitions. Using a particular Möbius invariant point-insertion...
Rong Du,Xinyi Fang,Yun Gao
Rong Du
We consider a uniform r-bundle E on a complex rational homogeneous space X and show that if E is poly-uniform with respect to all the special families of lines and the rank r is less than or equal to some number that depends only on X, then...
Calin Iulian Martin
Calin Iulian Martin
We consider here three-dimensional water flows governed by the geophysical water wave equations exhibiting full Coriolis and centripetal terms. More precisely, assuming a constant vorticity vector, we derive a family of explicit solutions, ...
Boundary behaviour of [Formula: see text] -polyharmonic functions on regular trees [0.03%]
有界树上[p,ν]-调和函数的边值行为
Ecaterina Sava-Huss,Wolfgang Woess
Ecaterina Sava-Huss
This paper studies the boundary behaviour of λ -polyharmonic functions for the simple random walk operator on a regular tree, where λ is complex and | λ | > ρ , the ℓ 2 -spectral radius of the random walk. In par...
Volker Branding
Volker Branding
In this article, we study various analytic aspects of interpolating sesqui-harmonic maps between Riemannian manifolds where we mostly focus on the case of a spherical target. The latter are critical points of an energy functional that inter...