Results 141 to 150 of about 351,042 (257)
A sharp higher order Sobolev embedding
Mathematika, Volume 71, Issue 2, April 2025.Abstract We obtain sharp embeddings from the Sobolev space W0k,2(−1,1)$W^{k,2}_0(-1,1)$ into the space L1(−1,1)$L^1(-1,1)$ and determine the extremal functions. This improves on a previous estimate of the sharp constants of these embeddings due to Kalyabin.
Raul Hindov +3 more
wiley +1 more source
On degree-based operators and topological descriptors of molecular graphs and their applications to QSPR analysis of carbon derivatives. [PDF]
Sci RepKhan AR +5 more
europepmc +1 more source
A new construction of forests with low visibility
Mathematika, Volume 71, Issue 2, April 2025.Abstract A set of points with finite density is constructed in Rd$\mathbb {R}^d$, with d⩾2$d\geqslant 2$, by adding points to a Poisson process such that any line segment of length Oε−(d−1)lnε−1$O\left(\varepsilon ^{-(d-1)}\ln \varepsilon ^{-1}\right)$ in Rd$\mathbb {R}^d$ will contain one of the points of the set within distance ε$\varepsilon$ of it ...
Kirill Kashkan
wiley +1 more source
Tracking the topology of neural manifolds across populations. [PDF]
Proc Natl Acad Sci U S AYoon IHR +5 more
europepmc +1 more source
A four‐dimensional peabody of constant width
Mathematika, Volume 71, Issue 2, April 2025.Abstract In this paper, we present a unique four‐dimensional body of constant width based on the classical notion of focal conics.
Isaac Arelio +2 more
wiley +1 more source
Rational structure on algebraic tangles and closed incompressible surfaces in the complements of algebraically alternating knots and links(Knots and soft-matter physics: Topology of polymers and related topics in physics, mathematics and biology)この論文は国立情報学研究所の電子図書館事業により電子化されました。
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An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley +1 more source
An analytic proof of the stable reduction theorem. [PDF]
Math AnnSong J, Sturm J, Wang X.
europepmc +1 more source
On Algebraic Knots II : An upper bound on their ropelength(Knots and soft-matter physics: Topology of polymers and related topics in physics, mathematics and biology)We prove that given a Conway algebraic link diagram D with n crossings then D can be embedded on the cubic lattice with a length bounded above by cn, where c is a positive constant independent of D and n. This implies that the ropelength of alternating Conway algebraic knots growths at most linear with their crossing number ...
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