8 papers
Liouville Rigidity for Real and Complex Degenerate Hessian Equations
Hao Fang, Biao Ma, Jinyang Wu
We prove Liouville rigidity theorems for translation-invariant real and complex Hessian equations in the viscosity sense, where the PDE is encoded by an admissible set $\mathcal{A}…
Ideal GÃ¥rding polynomials
Hao Fang, Biao Ma
We introduce ideal GÃ¥rding polynomials, a convexity-enhanced subclass of GÃ¥rding polynomials whose GÃ¥rding components are recursively convex under partial differentiation. This…
Taut polynomials from finite quotients of fibered hyperbolic 3-manifold groups
Tam Cheetham-West, Biao Ma, Jun Ueki +1
We prove that the finite quotients of a fibered hyperbolic 3-manifold group detect the taut polynomials of fibered faces of the Thurston norm balls, whenever the monodromy map is f…
GÃ¥rding Polynomials
Hao Fang, Biao Ma
We introduce GÃ¥rding polynomials, a class of real multivariate polynomials characterized by positivity regions that are invariant under translation by positive vectors and closed…
Construction of Anosov flows on fibered hyperbolic 3-manifolds
François Béguin, Christian Bonatti, Biao Ma +1
We prove that fibered hyperbolic -manifolds carrying transitive Anosov flows are abundant. More precisely, for every , there is a finite index subgroup~ of $ \mathr…
Cocycle superrigidity for median spaces of finite rank
Biao Ma, Lamine Messaci
We systematically investigate cocycle superrigidity in the setting of finite rank median spaces for product groups and Kazhdan groups. By employing a dynamical approach to superrig…