期刊： MATHEMATISCHE ANNALEN, 2021; 380 (3-4)
We say that two free p.m.p. actions of countable groups are Shannon orbit equivalent if there is an orbit equivalence between them whose associated co......
期刊： MATHEMATISCHE ANNALEN, 2021; 380 (3-4)
We show that if compact set E subset of R-d has Hausdorff dimension larger than d/2 + 1/4, where d >= 4 is an even integer, then the distance set o......
期刊： MATHEMATISCHE ANNALEN, 2021; 380 (3-4)
We study the heat kernel expansion of the Laplacian on n-forms defined on a subgraph of a directed complete graph. We derive two expressions for the s......
期刊： MATHEMATISCHE ANNALEN, ; ()
For a holomorphic one-form xi on a weakly 1-complete manifold X with certain properties, we will discuss the connectivity of the pair ((X) over cap, F......
期刊： MATHEMATISCHE ANNALEN, ; ()
The discrete quaternionic analysis has been placed recently in the same framework as its continuous counterpart. To discover more similarities, we stu......
期刊： MATHEMATISCHE ANNALEN, ; ()
We establish a Liouville theorem for bounded mild ancient solutions to the axi-symmetric incompressible Navier-Stokes equations on (-infinity, 0]x(R-2......
期刊： MATHEMATISCHE ANNALEN, ; ()
We study complex geodesics and complex Monge-Ampere equations on bounded strongly linearly convex domains in C-n. More specifically, we prove the uniq......
期刊： MATHEMATISCHE ANNALEN, 2020; 376 (3-4)
We prove that generic higher Deligne-Lusztig representations over truncated formal power series are non-nilpotent, when the parameters are non-trivial......
期刊： MATHEMATISCHE ANNALEN, 2020; 376 (3-4)
In this paper, we derive a maximum principle for a type of elliptic systems and apply it to analyze the Hitchin equation for cyclic Higgs bundles. We ......
期刊： MATHEMATISCHE ANNALEN, 2020; 376 (3-4)
We prove an explicit formula for the dependence of the exponent beta\ in the fractal uncertainty principle of Bourgain-Dyatlov (Ann Math 187:1-43, 201......
期刊： MATHEMATISCHE ANNALEN, 2020; 376 (3-4)
We establish that, for statistically convex-cocompact actions, contracting elements are exponentially generic in counting measure. We obtain as coroll......
期刊： MATHEMATISCHE ANNALEN, 2020; 378 (1-2)
Let G be a connected, linear, real reductive Lie group with compact centre. Let K < G be maximal compact. For a tempered representation p of G, we ......
期刊： MATHEMATISCHE ANNALEN, 2020; 377 (1-2)
In this paper, we show that any n-dimensional kappa-noncolla-psed steady (gradient) Kahler-Ricci soliton with nonnegative bisectional curvature must b......
期刊： MATHEMATISCHE ANNALEN, 2020; 377 (1-2)
We prove a general version of Siu's lemma for plurisubharmonic functions with nontrivial multiplier ideal sheaves and use it to prove an optimal L2 ex......
期刊： MATHEMATISCHE ANNALEN, 2020; 378 (1-2)
Let L be a non-negative self-adjoint operator acting on L-2(X) where X is a space of homogeneous type with a dimension n. Suppose that the heat operat......
