Skorobogatova, Anna
- The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points
2023/04/23 by Camillo De Lellis, De Lellis, Camillo, Anna Skorobogatova +1 · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows
- The fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than 1
2023/04/23 by De Lellis, Camillo, Skorobogatova, Anna · 2 citations
#35B65 #35J47 #49N60 #49Q05 #49Q15 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- The Fine Structure of the Singular Set of Area-Minimizing Integral Currents III: Frequency 1 Flat Singular Points and Hm-2-a.e. Uniqueness of Tangent Cones
2023/04/23 by Camillo De Lellis, De Lellis, Camillo, Paul Minter +3 · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Geometry and complex manifolds
- Variational integrals on Hessian spaces: partial regularity for critical points
2023/07/03 by Arunima Bhattacharya, Bhattacharya, Arunima, Anna Skorobogatova +1 · 1 citation
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
- Rectifiability of flat singular points for area-minimizing mod(2Q) hypercurrents
2023/05/05 by Anna Skorobogatova, Skorobogatova, Anna · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Analytic and geometric function theory #Point processes and geometric inequalities
- Fine Structure of Singularities in Area-Minimizing Currents Mod(q)
2024/03/23 by Camillo De Lellis, Paul Minter, De Lellis, Camillo +3 · 1 citation
Computer Science · Mathematics · #35B65 #35J47 #49N60 #49Q05 #49Q15 #Analysis of PDEs (math.AP) #Coding theory and cryptography #Differential Geometry (math.DG) #FOS: Mathematics #Finite Group Theory Research #Mathematical Approximation and Integration