Search Results - "Hirsch, Jonas"

Examples of holomorphic functions vanishing to infinite order at the boundary by HIRSCH, JONAS

“…We present examples of holomorphic functions that vanish to infinite order at points at the boundary of their domain of definition. They give rise to examples…”
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Distinguishing word identity and sequence context in DNA language models by Sanabria, Melissa, Hirsch, Jonas, Poetsch, Anna R

“…Transformer-based large language models (LLMs) are very suited for biological sequence data, because of analogies to natural language. Complex relationships…”
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Area‐Minimizing Currents mod 2Q: Linear Regularity Theory by De Lellis, Camillo, Hirsch, Jonas, Marchese, Andrea, Stuvard, Salvatore

“…We establish a theory of Q‐valued functions minimizing a suitable generalization of the Dirichlet integral. In a second paper the theory will be used to…”
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Regularity of area minimizing currents mod p by De Lellis, Camillo, Hirsch, Jonas, Marchese, Andrea, Stuvard, Salvatore

“…We establish a first general partial regularity theorem for area minimizing currents mod ( p ) , for every p , in any dimension and codimension. More…”
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Interior Regularity for Two-Dimensional Stationary Q-Valued Maps by Hirsch, Jonas, Spolaor, Luca

“…We prove that 2-dimensional Q -valued maps that are stationary with respect to outer and inner variations of the Dirichlet energy are Hölder continuous and…”
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Partial Hölder continuity for Q-valued energy minimizing maps by Hirsch, Jonas

“…We consider multivalued maps between Ω ⊂ ℝ N open (N ≥ 2) and a smooth, compact Riemannian manifold locally minimizing the Dirichlet energy. An interior…”
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A note on a rigidity estimate for degree ±1$\pm 1$ conformal maps on S2$\mathbb {S}^2 by Hirsch, Jonas, Zemas, Konstantinos

“…In this note, we present a short alternative proof of an estimate obtained by Mantel, Muratov and Simon in (Arch Rational Mech. Anal. 239 (2021), 219–299)…”
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On a degenerate elliptic problem arising in the least action principle for Rayleigh–Taylor subsolutions by Gebhard, Björn, Hirsch, Jonas, Kolumbán, József J.

“…We address a degenerate elliptic variational problem arising in the application of the least action principle to averaged solutions of the inhomogeneous Euler…”
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On the constancy theorem for anisotropic energies through differential inclusions by Hirsch, Jonas, Tione, Riccardo

“…In this paper we study stationary graphs for functionals of geometric nature defined on currents or varifolds. The point of view we adopt is the one of…”
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Dimensional estimates and rectifiability for measures satisfying linear PDE constraints by Arroyo-Rabasa, Adolfo, De Philippis, Guido, Hirsch, Jonas, Rindler, Filip

“…We establish the rectifiability of measures satisfying a linear PDE constraint. The obtained rectifiability dimensions are optimal for many usual PDE…”
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Excess decay for minimizing hypercurrents mod 2 Q by De Lellis, Camillo, Hirsch, Jonas, Marchese, Andrea, Spolaor, Luca, Stuvard, Salvatore

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Excess decay for minimizing hypercurrents mod 2Q by De Lellis, Camillo, Hirsch, Jonas, Marchese, Andrea, Spolaor, Luca, Stuvard, Salvatore

“…We consider codimension 1 area-minimizing m-dimensional currents T mod an even integer p=2Q in a C2 Riemannian submanifold Σ of Euclidean space. We prove a…”
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Area‐Minimizing Currents mod 2 Q : Linear Regularity Theory by De Lellis, Camillo, Hirsch, Jonas, Marchese, Andrea, Stuvard, Salvatore

“…Abstract We establish a theory of Q ‐valued functions minimizing a suitable generalization of the Dirichlet integral. In a second paper the theory will be used…”
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Regularity of Minimizers for a Model of Charged Droplets by Philippis, Guido de, Hirsch, Jonas, Vescovo, Giulia

“…We investigate properties of minimizers of a variational model describing the shape of charged liquid droplets. The model, proposed by Muratov and Novaga,…”
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Geometry of complete minimal surfaces at infinity and the Willmore index of their inversions by Hirsch, Jonas, Kusner, Rob, Mäder-Baumdicker, Elena

“…We study complete minimal surfaces in R n with finite total curvature and embedded planar ends. After conformal compactification via inversion, these yield…”
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DNA language model GROVER learns sequence context in the human genome by Sanabria, Melissa, Hirsch, Jonas, Joubert, Pierre M., Poetsch, Anna R.

“…Deep-learning models that learn a sense of language on DNA have achieved a high level of performance on genome biological tasks. Genome sequences follow rules…”
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A note on Willmore minimizing Klein bottles in Euclidean space by Hirsch, Jonas, Mäder-Baumdicker, Elena

“…We show that φ∘τ˜3,1:K→R4×{0}n−4 is the unique minimizer among immersed Klein bottles in its conformal class, where φ:S4→R4 is a stereographic projection and…”
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Dimension of the singular set for $2$-valued stationary Lipschitz graphs by Hirsch, Jonas, Spolaor, Luca

“…We prove that the singular set of a $2$-valued Lipschitz graph that is stationary for the area is of codimension $1$…”
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Index estimates for sequences of harmonic maps by Hirsch, Jonas, Lamm, Tobias

“…In this paper we study upper and lower bounds of the index and the nullity for sequences of harmonic maps with uniformly bounded Dirichlet energy from a…”
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Interior regularity for two-dimensional stationary $Q$-valued maps by Hirsch, Jonas, Spolaor, Luca

“…We prove that $2$-dimensional $Q$-valued maps that are stationary with respect to outer and inner variations of the Dirichlet energy are H\"older continuous…”
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