Results 81 to 90 of about 143,013 (228)
A note on the magnetic Steklov operator on functions
Mathematika, Volume 71, Issue 4, October 2025.Abstract We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov operators which are unitarily equivalent to the classical Steklov operator and study bounds for the ...
Tirumala Chakradhar +3 more
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The Combinatorics of Object Recognition in Cluttered Environments Using Constrained Search [PDF]
, 1988 W. Eric L. Grimson
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The structure of sets with cube‐avoiding sumsets
Mathematika, Volume 71, Issue 4, October 2025.Abstract Suppose G$G$ is a finite abelian group, Z0⊂G$Z_0 \subset G$ is not contained in any strict coset in G$G$, and E,F$E,F$ are dense subsets of Gn$G^n$ such that the sumset E+F$E+F$ avoids Z0n$Z_0^n$. We show that E$E$ and F$F$ are almost entirely contained in sets defined by a bounded number of coordinates, that is, sets E′×GIc$E^{\prime } \times
Thomas Karam, Peter Keevash
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New fiber and graph combinations of convex bodies
Mathematika, Volume 71, Issue 4, October 2025.Abstract Three new combinations of convex bodies are introduced and studied: the Lp$L_p$ fiber, Lp$L_p$ chord, and graph combinations. These combinations are defined in terms of the fibers and graphs of pairs of convex bodies, and each operation generalizes the classical Steiner symmetral, albeit in different ways.
Steven Hoehner, Sudan Xing
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Mathematika, Volume 71, Issue 4, October 2025.Abstract Motivated by general probability theory, we say that the set S$S$ in Rd$\mathbb {R}^d$ is antipodal of rank k$k$, if for any k+1$k+1$ elements q1,…qk+1∈S$q_1,\ldots q_{k+1}\in S$, there is an affine map from convS$\mathrm{conv}\!\left(S\right)$ to the k$k$‐dimensional simplex Δk$\Delta _k$ that maps q1,…qk+1$q_1,\ldots q_{k+1}$ bijectively ...
Márton Naszódi +2 more
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Fractional moments of L$L$‐functions and sums of two squares in short intervals
Mathematika, Volume 71, Issue 4, October 2025.Abstract Let b(n)=1$b(n)=1$ if n$n$ is the sum of two perfect squares, and b(n)=0$b(n)=0$ otherwise. We study the variance of B(x)=∑n⩽xb(n)$B(x)=\sum _{n\leqslant x}b(n)$ in short intervals by relating the variance with the second moment of the generating function f(s)=∑n=1∞b(n)n−s$f(s)=\sum _{n=1}^{\infty } b(n)n^{-s}$ along Re(s)=1/2$\mathrm{Re}(s)=1/
Siegfred Baluyot, Steven M. Gonek
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Identities in combinatorics, I: on sorting two ordered sets
, 1975 George E. Andrews
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Geometric inequalities, stability results and Kendall's problem in spherical space
Mathematika, Volume 71, Issue 4, October 2025.Abstract In Euclidean space, the asymptotic shape of large cells in various types of Poisson‐driven random tessellations has been the subject of a famous conjecture due to David Kendall. Since shape is a geometric concept and large cells are identified by means of geometric size functionals, the resolution of the conjecture is inevitably connected with
Daniel Hug, Andreas Reichenbacher
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