Zobrazeno 1 - 10
of 22 230
pro vyhledávání: '"Spiro, AS"'
Autor:
Nie, Jiaxi, Spiro, Sam
Let $K_{s,t}^{(r)}$ denote the $r$-uniform hypergraph obtained from the graph $K_{s,t}$ by inserting $r-2$ new vertices inside each edge of $K_{s,t}$. We prove essentially tight bounds on the size of a largest $K_{s,t}^{(r)}$-subgraph of the random $
Externí odkaz:
http://arxiv.org/abs/2412.09367
We investigate the relations between the Kalman Theorem and the Chow-Rashevskji Theorem or, more precisely, the general theory of flows tangent to non-integrable distributions. The main results consist of two proofs of the Kalman Theorem, which are a
Externí odkaz:
http://arxiv.org/abs/2412.07438
Combinatorial mechanical metamaterials are made of anisotropic, flexible blocks, such that multiple metamaterials may be constructed using a single block type, and the system's response strongly depends on the mutual orientations of the blocks within
Externí odkaz:
http://arxiv.org/abs/2411.15760
The realization of fault-tolerant quantum computers hinges on effective quantum error correction protocols, whose performance significantly relies on the nature of the underlying noise. In this work, we directly study the structure of non-Markovian c
Externí odkaz:
http://arxiv.org/abs/2410.23779
Autor:
Alekseevsky, D. V., Spiro, A.
We propose a differential geometric model of hypercolumns in the primary visual cortex V1 that combines features of the symplectic model of the primary visual cortex by A. Sarti, G. Citti and J. Petitot and of the spherical model of hypercolumns by P
Externí odkaz:
http://arxiv.org/abs/2410.20184
Autor:
Malekshahian, Alexandru, Spiro, Sam
The following game was introduced in a list of open problems from 1983 attributed to Erd\H{o}s: two players take turns claiming edges of a $K_n$ until all edges are exhausted. Player 1 wins the game if the largest clique that they claim at the end is
Externí odkaz:
http://arxiv.org/abs/2410.18304
Let $\epsilon_{1},\ldots,\epsilon_{n}$ be a sequence of independent Rademacher random variables. We prove that there is a constant $c>0$ such that for any unit vectors $v_1,\ldots,v_n\in \mathbb{R}^2$, $$\Pr\left[||\epsilon_1 v_1+\ldots+\epsilon_n v_
Externí odkaz:
http://arxiv.org/abs/2408.11034
Autor:
Nie, Jiaxi, Spiro, Sam
Given an $r_0$-uniform hypergraph $F$, we define its $r$-uniform expansion $F^{(r)}$ to be the hypergraph obtained from $F$ by inserting $r-r_0$ distinct vertices into each edge of $F$, and we define $\mathrm{ex}(G_{n,p}^r,F^{(r)})$ to be the largest
Externí odkaz:
http://arxiv.org/abs/2408.03406
Autor:
Schafer, Joseph S, Duskin, Kayla, Prochaska, Stephen, Wack, Morgan, Beers, Anna, Bozarth, Lia, Agajanian, Taylor, Caulfield, Mike, Spiro, Emma S, Starbird, Kate
Understanding the spread of online rumors is a pressing societal challenge and an active area of research across domains. In the context of the 2022 U.S. midterm elections, one influential social media platform for sharing information -- including ru
Externí odkaz:
http://arxiv.org/abs/2407.16051
Magnetic reconnection is widely believed to be the fundamental process in the solar atmosphere that underlies magnetic energy release and particle acceleration. This process is responsible for the onset of solar flares, coronal mass ejections, and ot
Externí odkaz:
http://arxiv.org/abs/2407.07687