Daniel Tsodikovich
Daniel Tsodikovich
We show a local rigidity result for the integrability of symplectic billiards. We prove that any domain which is close to an ellipse, and for which the symplectic billiard map is rationally integrable must be an ellipse as well. This is in ...
Symbolic Calculus for a Class of Pseudodifferential Operators with Applications to Compactness [0.03%]
一类伪微分算子的符号演算及其在紧性的应用
Árpád Bényi,Tadahiro Oh,Rodolfo H Torres
Árpád Bényi
We prove a symbolic calculus for a class of pseudodifferential operators, and discuss its applications to L 2 -compactness via a compact version of the T(1) theorem. ...
Amlan Banaji,Alex Rutar,Sascha Troscheit
Amlan Banaji
The ϕ -Assouad dimensions are a family of dimensions which interpolate between the upper box and Assouad dimensions. They are a generalization of the well-studied Assouad spectrum with a more general form of scale sensitivity that is o...
A Unifying Framework for Complex-Valued Eigenfunctions via The Cartan Embedding [0.03%]
基于Cartan嵌入的复特征值函数研究统一框架
Sigmundur Gudmundsson,Adam Lindström
Sigmundur Gudmundsson
In this work we find a unifying scheme for the known explicit complex-valued eigenfunctions on the classical compact Riemannian symmetric spaces. For this we employ the well-known Cartan embedding for those spaces. This also leads to the co...
Joonas Ilmavirta,Antti Kykkänen,Matti Lassas et al.
Joonas Ilmavirta et al.
We prove that the reconstruction of a certain type of length spaces from their travel time data on a closed subset is Lipschitz stable. The travel time data is the set of distance functions from the entire space, measured on the chosen clos...
Hunter Stufflebeam,Paul Sweeney Jr
Hunter Stufflebeam
In 2018, Marques and Neves proposed a volume preserving intrinsic flat stability conjecture concerning their width rigidity theorem for the unit round 3-sphere. In this work, we establish the validity of this conjecture under the additional...
Geometric Bounds for Low Steklov Eigenvalues of Finite Volume Hyperbolic Surfaces [0.03%]
双曲曲面上低Steklov特征值的几何界
Asma Hassannezhad,Antoine Métras,Hélène Perrin
Asma Hassannezhad
We obtain geometric lower bounds for the low Steklov eigenvalues of finite-volume hyperbolic surfaces with geodesic boundary. The bounds we obtain depend on the length of a shortest multi-geodesic disconnecting the surfaces into connected c...
On the Regularity Problem for Parabolic Operators and the Role of Half-Time Derivative [0.03%]
抛物型算子的正则性问题与半时间导数的作用
Martin Dindoš
Martin Dindoš
In this paper we present the following result on regularity of solutions of the second order parabolic equation ∂ t u - div ( A ∇ u ) + B · ∇ u = 0 on cylindrical domains of the form Ω = O × R where O &...
Free Boundary Hamiltonian Stationary Lagrangian Discs in [Formula: see text] [0.03%]
带有自由边界的Hamiltonian稳定的Lagrangian盘子在[Formula: see text]中
Filippo Gaia
Filippo Gaia
Let Ω ⊂ C 2 be a smooth domain. We establish conditions under which a weakly conformal, branched Ω -free boundary Hamiltonian stationary Lagrangian immersion u of a disc in C 2 is a Ω -free boundary minimal immersio...
On Isolated Singularities and Generic Regularity of Min-Max CMC Hypersurfaces [0.03%]
关于极小极大常平均曲率超曲面的孤立奇点和通用正则性问题
Costante Bellettini,Kobe Marshall-Stevens
Costante Bellettini
In compact Riemannian manifolds of dimension 3 or higher with positive Ricci curvature, we prove that every constant mean curvature hypersurface produced by the Allen-Cahn min-max procedure in Bellettini and Wickramasekera (arXiv:2010.05847...