Search Results - "GEOMETRIC measure theory"

Query Lower Bounds for Log-concave Sampling.

Authors: Chewi, Sinho de Dios Pont, Jaume Li, Jerry et al.

Source: Journal of the ACM. Aug2024, Vol. 71 Issue 4, p1-42. 42p.

Subject Terms: *ALGORITHMS, GEOMETRIC measure theory, WISHART matrices, LOGICAL prediction, KRYLOV subspace

Rectifiability of the singular strata for harmonic maps to Euclidean buildings.

Authors: Breiner, Christine Dees, Ben K.

Source: Transactions of the American Mathematical Society, Series B. 10/7/2025, Vol. 12, p1156-1187. 32p.

Subject Terms: *HARMONIC maps, *GEOMETRIC measure theory, *TOPOLOGICAL spaces

Poincaré inequality and energy of separating sets.

Authors: Caputo, Emanuele Cavallucci, Nicola

Source: Advances in Calculus of Variations. Jul2025, Vol. 18 Issue 3, p915-942. 28p.

Subject Terms: *HAUSDORFF measures, *GEOMETRIC measure theory, *FORCE & energy, *POINCARE conjecture, *GEOMETRIC shapes

Bifurcation for a sharp interface generation problem.

Authors: Acerbi, Emilio D. Chen, Chao-Nien Choi, Yung Sze

Source: Interfaces & Free Boundaries. 2025, Vol. 27 Issue 3, p403-457. 55p.

Subject Terms: *BIFURCATION theory, *GEOMETRIC measure theory, *CALCULUS of variations, *PATTERN formation (Physical sciences), *THEORY of wave motion, *STABILITY criterion, *INTERFACES (Physical sciences)

Special Lagrangian pair of pants.

Authors: Li, Yang¹ (AUTHOR) yl454@cam.ac.uk

Source: Communications on Pure & Applied Mathematics. Jul2025, Vol. 78 Issue 7, p1320-1356. 37p.

Subject Terms: *GEOMETRIC measure theory, *PANTS

Motivic Vitushkin invariants.

Authors: Comte, G. Halupczok, I.

Source: Compositio Mathematica. May2025, Vol. 161 Issue 5, p959-992. 34p.

Subject Terms: *GEOMETRIC measure theory, *INVARIANT theory

Global existence for the Willmore flow with boundary via Simon's Li–Yau inequality.

Authors: Schlierf, Manuel¹ (AUTHOR) manuel.schlierf@uni-ulm.de

Source: Advances in Calculus of Variations. Apr2025, Vol. 18 Issue 2, p555-575. 21p.

Subject Terms: *BOUNDARY value problems, *GEOMETRIC measure theory, *CURVED surfaces

Geometric Probability on a Lattice with the 15th Type of Convex Pentagon as a Fundamental Region.

Authors: Zhao, Jiangfu Jiang, Jun Liu, Hai

Source: Acta Mathematica Sinica. Apr2025, Vol. 41 Issue 4, p1213-1230. 18p.

Subject Terms: *GEOMETRIC measure theory, *DISTRIBUTION (Probability theory), *MATHEMATICIANS, *PROBABILITY theory

HAUSDORFF DIMENSION OF CALORIC MEASURE.

Authors: BADGER, MATTHEW GENSCHAW, ALYSSA

Source: American Journal of Mathematics. Apr2025, Vol. 147 Issue 2, p465-502. 39p.

Subject Terms: *GEOMETRIC measure theory, *BROWNIAN motion, *COMMERCIAL space ventures, FRACTAL dimensions

Duality and Some Links Between Riemannian Submersion, F -Harmonicity, and Cohomology.

Authors: Chen, Bang-Yen Wei, Shihshu

Source: Axioms (2075-1680). Mar2025, Vol. 14 Issue 3, p162. 14p.

Subject Terms: *FIBER bundles (Mathematics), *GEOMETRIC measure theory, *ALGEBRA, *GEOMETRY, *MATHEMATICS

Time-global existence of generalized BV flow via the Allen–Cahn equation.

Authors: Kiichi Tashiro¹ tashiro.k.ai@m.titech.ac.jp

Source: Interfaces & Free Boundaries. 2025, Vol. 27 Issue 1, p123-140. 18p.

Subject Terms: *GEOMETRIC measure theory, *CURVATURE, *EQUATIONS

Carnot rectifiability and Alberti representations.

Authors: Antonelli, G. Le Donne, E. Merlo, A.

Source: Proceedings of the London Mathematical Society. Jan2025, Vol. 130 Issue 1, p1-78. 78p.

Subject Terms: *GEOMETRIC measure theory, *LIPSCHITZ spaces, *METRIC spaces, *SMOOTHNESS of functions, *DIFFERENTIABLE functions, *LIPSCHITZ continuity

Convergence to the planar interface for a nonlocal free‐boundary evolution.

Authors: Otto, Felix Schubert, Richard Westdickenberg, Maria G.

Source: Communications on Pure & Applied Mathematics. Jan2025, Vol. 78 Issue 1, p161-208. 48p.

Subject Terms: *GEOMETRIC measure theory, *OSTWALD ripening, *MATERIALS science, *SURFACE energy

Area and volume as emergent phenomena from entangled qubits.

Authors: Romero, Juan M. Montoya-González, Emiliano

Source: Modern Physics Letters A; 12/20/2025, Vol. 40 Issue 38, p1-10, 10p

Subject Terms: QUANTUM information theory, QUANTUM entanglement, AREA measurement, QUANTUM gates, PARALLELOGRAMS, LEBESGUE measure, GEOMETRIC measure theory, GEOMETRIC quantization

The Riemannian hemisphere is almost calibrated in the injective hull of its boundary.

Authors: Züst, Roger

Source: Calculus of Variations & Partial Differential Equations; Dec2025, Vol. 64 Issue 9, p1-50, 50p

Subject Terms: RIEMANNIAN manifolds, FINSLER geometry, DIFFERENTIAL forms, HAUSDORFF measures, GEOMETRIC measure theory

On Hadwiger's covering problem in small dimensions.

Authors: Arman, Andrii V. Bondarenko, Andriy Viktorovych Prymak, Andriy

Source: Canadian Mathematical Bulletin; Dec2025, Vol. 68 Issue 4, p1239-1250, 12p

Subject Terms: CONVEX bodies, MATHEMATICAL bounds, ELLIPSOIDS, GEOMETRIC measure theory

High Dimensional Space Oddity.

Authors: Bar, Haim Pozdnyakov, Vladimir

Source: American Statistician; Nov2025, Vol. 79 Issue 4, p474-479, 6p

Subject Terms: LAW of large numbers, PROBABILITY theory, INNER product spaces, METRIC spaces, CENTRAL limit theorem, GEOMETRIC measure theory

The Brownian loop measure on Riemann surfaces and applications to length spectra.

Authors: Wang, Yilin Xue, Yuhao

Source: Communications on Pure & Applied Mathematics; Nov2025, Vol. 78 Issue 11, p2123-2148, 26p

Subject Terms: RIEMANN surfaces, GEODESICS, SPACES of constant curvature, LAPLACIAN operator, STOCHASTIC processes, FREQUENCY spectra, GEOMETRIC measure theory

Singular Valuations and the Hadwiger Theorem on Convex Functions.

Authors: Knoerr, Jonas

Source: Journal of Geometric Analysis; Nov2025, Vol. 35 Issue 11, p1-50, 50p

Subject Terms: CONVEX functions, GEOMETRIC measure theory, DIFFERENTIAL forms

A General Splitting Principle on RCD Spaces and Applications to Spaces with Positive Spectrum.

Authors: Gigli, Nicola Marconi, Fabio

Source: Journal of Geometric Analysis; Nov2025, Vol. 35 Issue 11, p1-50, 50p

Subject Terms: LAPLACIAN operator, HESSIAN matrices, GEOMETRIC measure theory, RIEMANNIAN manifolds