DOI10.1007/s000390300004zbMath1044.46057OpenAlexW2146453955MaRDI QIDQ1402330
Mikhael Gromov
Publication date: 27 August 2003
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: http://cds.cern.ch/record/623668
Existence of minimal hypersurfaces with non-empty free Boundary for generic metrics,
Colourful categories,
A survey of mass partitions,
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Min-max widths of the real projective 3-space,
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Application of waist inequality to entropy and mean dimension,
Blessing of dimensionality at the edge and geometry of few-shot learning,
On the equidistribution of closed geodesics and geodesic nets,
General stochastic separation theorems with optimal bounds,
The first and second widths of the real projective space,
An improved Morse index bound of min-max minimal hypersurfaces,
Stable capillary hypersurfaces and the partitioning problem in balls with radial weights,
On the Stability of $f$-Maximal Spacelike Hypersurfaces in Weighted Generalized Robertson–Walker Spacetimes,
Some results on curves in the plane with log-linear density,
Analysis of high-dimensional distributions using pathwise methods,
Mean curvature and variational theory,
Geometric and architectural aspects of the singular minimal surface equation,
Invariants for Gromov's pyramids and their applications,
Uniqueness of hypersurfaces in weighted product spaces via maximum principles for the drift Laplacian,
Mean curvature flow in an extended Ricci flow background,
The Plateau-Rayleigh instability of translating \(\lambda\)-solitons,
The first width of non-negatively curved surfaces with convex boundary,
Weighted minimal translation surfaces in Minkowski 3-space with density,
Some maximum principles for the drift Laplacian applied to complete spacelike hypersurfaces,
The p-widths of a surface,
Existence of infinitely many minimal hypersurfaces in higher-dimensional closed manifolds with generic metrics,
METRIC THICKENINGS, BORSUK–ULAM THEOREMS, AND ORBITOPES,
A nonabelian Brunn-Minkowski inequality,
The global geometry of surfaces with prescribed mean curvature in ℝ³,
Existence of multiple closed CMC hypersurfaces with small mean curvature,
Generic density of geodesic nets,
Spacelike translating solitons of the mean curvature flow in Lorentzian product spaces with density,
Existence of infinitely many free boundary minimal hypersurfaces,
Generalized elastic translating solitons,
Gromov’s Waist of Non-radial Gaussian Measures and Radial Non-Gaussian Measures,
Partial differential equations. Abstracts from the workshop held July 25--31, 2021 (hybrid meeting),
Generalized rotation surfaces in \(\mathbb{E}^4\) with density,
Some rigidity properties for \(\lambda\)-self-expanders,
Existence of infinitely many minimal hypersurfaces in closed manifolds,
Rigidity results and topology at infinity of translating solitons of the mean curvature flow,
Weighted minimal affine translation surfaces in Euclidean space with density,
Unnamed Item,
Conformal invariants associated to a measure,
Ruled and Rotational Surfaces Generated by Non-Null Curves with Zero Weighted Curvature in $(\mathbb{L}^{3},ax^{2}+by^{2})$,
Heat-content and diffusive leakage from material sets in the low-diffusivity limit *,
HOW LARGE IS THE SHADOW OF A SYMPLECTIC BALL?,
Regularity of isoperimetric hypersurfaces in Riemannian manifolds,
Halfspace type theorems for self-shrinkers,
A GEOMETRIC APPROACH TO RADIAL CORRELATION TYPE PROBLEMS,
The (p;m)-width of Riemannian manifolds and its realization,
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Unnamed Item,
NON-NULL CURVES WITH CONSTANT WEIGHTED CURVATURE IN LORENTZ-MINKOWSKI PLANE WITH DENSITY,
A family of maps with many small fibers,
RULED SURFACES IN E 3 WITH DENSITY,
Equivariant topology of configuration spaces,
Waist of maps measured via Urysohn width,
The weighted isoperimetric-type and Sobolev-type inequalities for hypersurfaces in Carnot groups,
On Bernstein-type properties of complete hypersurfaces in weighted warped products,
The first \(p\)-widths of the unit disk,
Ruled surfaces of generalized self-similar solutions of the mean curvature flow,
The motion of closed hypersurfaces in the central force fields,
Uniqueness results and enclosure properties for hypersurfaces with boundary in weighted cylinders,
Families of short cycles on Riemannian surfaces,
Spacelike hypersurfaces in weighted generalized Robertson-Walker space-times,
The curve shortening problem associated to a density,
Measure partitions using hyperplanes with fixed directions,
Rigidity of complete spacelike hypersurfaces with constant weighted mean curvature,
Weighted volume growth and vanishing properties of \(f\)-minimal hypersurfaces in a weighted manifold,
Entire translating graphs in weighted product spaces: rigidity and nonexistence results,
Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities,
On the complete 2-dimensional \(\lambda\)-translators with a second fundamental form of constant length,
Invariant singular minimal surfaces,
Upper bounds for the first stability eigenvalue of surfaces in 3-Riemannian manifolds,
Existence of infinitely many minimal hypersurfaces in positive Ricci curvature,
Two-sided hypersurfaces, entire Killing graphs and the mean curvature equation in warped products with density,
Volume of minimal hypersurfaces in manifolds with nonnegative Ricci curvature,
In polytopes, small balls about some vertex minimize perimeter,
Spacelike hypersurfaces immersed in weighted standard static spacetimes: uniqueness, nonexistence and stability,
On the uniqueness of complete two-sided hypersurfaces immersed in a class of weighted warped products,
Waist of the sphere for maps to manifolds,
New Calabi-Bernstein type results in Lorentzian product spaces with density,
The Weyl law for the phase transition spectrum and density of limit interfaces,
The one dimensional case of the singular minimal surfaces with density,
Isoperimetric rigidity and distributions of 1-Lipschitz functions,
Equidistribution of minimal hypersurfaces for generic metrics,
Sobolev and isoperimetric inequalities for submanifolds in weighted ambient spaces,
Height estimates and half-space type theorems in weighted product spaces with nonnegative Bakry-Émery-Ricci curvature,
Complete 3-dimensional \(\lambda \)-translators in the Minkowski space \(\mathbb{R}^4_1 \),
A relation between cylindrical critical points of Willmore-type energies, weighted areas and vertical potential energies,
Widths of balls and free boundary minimal submanifolds,
Unimodal value distribution of Laplace eigenfunctions and a monotonicity formula,
Gaussian mean curvature flow,
\(\lambda\)-Hypersurfaces on shrinking gradient Ricci solitons,
Intrinsic and extrinsic comparison results for isoperimetric quotients and capacities in weighted manifolds,
Rigidity of entire graphs in weighted product spaces with nonnegative Bakry-Émery-Ricci tensor,
An analogue of Gromov's waist theorem for coloring the cube,
Free boundary stable hypersurfaces in manifolds with density and rigidity results,
Eldan's stochastic localization and tubular neighborhoods of complex-analytic sets,
Type I singularities in the curve shortening flow associated to a density,
Steiner and Schwarz symmetrization in warped products and fiber bundles with density,
Height estimates for Killing graphs,
One-trial correction of legacy AI systems and stochastic separation theorems,
Fast construction of correcting ensembles for legacy artificial intelligence systems: algorithms and a case study,
On the multiplicity one conjecture in min-max theory,
Compact stable hypersurfaces with free boundary in convex solid cones with homogeneous densities,
Convex equipartitions: the spicy chicken theorem,
Stable and isoperimetric regions in some weighted manifolds with boundary,
The canonical shrinking soliton associated to a Ricci flow,
Isoperimetric and stable sets for log-concave perturbations of Gaussian measures,
Local rigidity, bifurcation, and stability of \(H_f\)-hypersurfaces in weighted Killing warped products,
Sweepouts of closed Riemannian manifolds,
Conformal upper bounds for the volume spectrum,
Submanifolds immersed in a warped product with density,
On the stability and parabolicity of complete \(f\)-minimal hypersurfaces in weighted warped products,
Liouville type results for two-sided hypersurfaces in weighted Killing warped products,
Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights,
Eigenvalue comparisons in Steklov eigenvalue problem and some other eigenvalue estimates,
Weyl law for the volume spectrum,
Density of minimal hypersurfaces for generic metrics,
Invariant surfaces in Euclidean space with a log-linear density,
Uniqueness of complete hypersurfaces in weighted Riemannian warped products,
New Calabi-Cernstein type results in weighted generalized Robertson-Walker spacetimes,
Convex geometry and waist inequalities,
Weighted minimal translation surfaces in the Galilean space with density,
\(L^{2p}_f\)-harmonic 1-forms on \(f\)-minimal hypersurfaces in a weighted manifold,
Some isoperimetric inequalities and eigenvalue estimates in weighted manifolds,
Some calibrated surfaces in manifolds with density,
Gradient Schrödinger operators, manifolds with density and applications,
Asymptotic formulas for the diameter of sections of symmetric convex bodies,
Isoperimetry of waists and local versus global asymptotic convex geometries,
Abundance of minimal surfaces,
Minimum principles and a priori estimates for some translating soliton type problems,
Mahler's conjecture for some hyperplane sections,
Curvature-dimension condition meets Gromov's \(n\)-volumic scalar curvature,
Isoperimetric estimates in products,
\(\phi \)-parabolicity and the uniqueness of spacelike hypersurfaces immersed in a spatially weighted GRW spacetime,
Approximation with random bases: pro et contra,
Rigidity of complete spacelike hypersurfaces in spatially weighted generalized Robertson-Walker spacetimes,
New Bernstein type results in weighted warped products,
A point in an \(nd\)-polytope is the barycenter of \(n\) points in its \(d\)-faces,
Stochastic separation theorems,
Morse theory for the area functional,
Some integral formulae on weighted manifolds,
Generalized Hsiung-Minkowski formulae on manifolds with density,
Stability properties and topology at infinity of \(f\)-minimal hypersurfaces,
Invariant hypersurfaces with linear prescribed mean curvature,
The translating soliton equation,
Surfaces with a canonical principal direction and prescribed mean curvature,
Central and \(L^p\)-concentration of 1-Lipschitz maps into \(R\)-trees,
The maximum of the 1-measurement of a metric measure space,
Isoperimetric inequality on a metric measure space and Lipschitz order with an additive error,
Isoperimetric inequalities in cylinders with density,
Constructions of helicoidal surfaces in Euclidean space with density,
Plateau-Rayleigh instability of singular minimal surfaces,
Lower and upper bounds for the waists of different spaces,
Randomized interior point methods for sampling and optimization