Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Lorenzo Sadun"'
Publikováno v:
Probability Theory and Related Fields.
The analysis of large simple graphs with extreme values of the densities of edges and triangles has been extended to the statistical structure of typical graphs of fixed intermediate densities, by the use of large deviations of Erdoes-Renyi graphs. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86a35790289b3631501e47f4bf0562ac
https://doi.org/10.1007/s00440-023-01187-8
https://doi.org/10.1007/s00440-023-01187-8
Publikováno v:
Journal of Statistical Physics. 181:305-328
We analyze ensembles of random networks with fixed numbers of edges, triangles, and nodes. In the limit as the number of nodes goes to infinity, this model is known to exhibit sharp phase transitions as the density of edges and triangles is varied. I
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::96d41587695d0d36ab26dd743fd17cec
https://doi.org/10.1007/s10955-020-02582-4
https://doi.org/10.1007/s10955-020-02582-4
Publikováno v:
eLife, Vol 10 (2021)
eLife
eLife
What factors constrain the arrangement of the multiple fields of a place cell? By modeling place cells as perceptrons that act on multiscale periodic grid-cell inputs, we analytically enumerate a place cell’s repertoire – how many field arrangeme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43dd31c5e6601c7422f354bc896c82f7
https://elifesciences.org/articles/62702
https://elifesciences.org/articles/62702
Two Delone sets are bounded distance equivalent to each other if there is a bijection between them such that the distance of corresponding points is uniformly bounded. Bounded distance equivalence is an equivalence relation. We show that the hull of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::514901b8a1adbf53bafa0792f78e8d6d
http://arxiv.org/abs/2101.02514
http://arxiv.org/abs/2101.02514
We prove moderate deviations bounds for the lower tail of the number of odd cycles in a $\calG(n, m)$ random graph. We show that the probability of decreasing triangle density by $t^3$, is $\exp(-\Theta(n^2 t^2))$ whenever $n^{-3/4} \ll t^3 \ll 1$, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b935b0b6fe39545cea90b8e0da370cf
Autor:
Lorenzo Sadun
The Six Pillars of Calculus: Business Edition is a conceptual and practical introduction to differential and integral calculus for use in a one- or two-semester course. By boiling calculus down to six common-sense ideas, the text invites students to
Autor:
Lorenzo Sadun
Publikováno v:
Bulletin of Mathematical Biology
There is continued uncertainty in how long it takes a person infected by the COVID-19 virus to become infectious. In this paper, we quantify how this uncertainty affects estimates of the basic replication number \documentclass[12pt]{minimal} \usepack
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2caa5cb002c89f1ea1ba9deb194c2260
https://pubmed.ncbi.nlm.nih.gov/32816135
https://pubmed.ncbi.nlm.nih.gov/32816135
We extend rotation theory of circle maps to tiling spaces. Specifically, we consider a one-dimensional tiling space $$\Omega $$ with finite local complexity and study self-maps F that are homotopic to the identity and whose displacements are strongly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7191321a11d46a0fbc3b326fbb58d769
Autor:
Alex Clark, Lorenzo Sadun
Publikováno v:
Annales Henri Poincaré. 18:2301-2326
Following an earlier similar conjecture of Kellendonk and Putnam, Giordano, Putnam, and Skau conjectured that all minimal, free $$\mathbb {Z}^d$$ actions on Cantor sets admit “small cocycles.” These represent classes in $$H^1$$ that are mapped to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75b19dbb069c722ad478203eb5ab2ca0
https://doi.org/10.1007/s00023-017-0579-9
https://doi.org/10.1007/s00023-017-0579-9
A hippocampal place cell exhibits multiple firing fields within and across environments. What factors determine the configuration of these fields, and could they be set down in arbitrary locations? We conceptualize place cells as performing evidence
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::482dff10e20345f170ef22cad97a88ef
https://doi.org/10.1101/2019.12.19.881458
https://doi.org/10.1101/2019.12.19.881458