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pro vyhledávání: '"Liviu I. Nicolaescu"'
Autor:
Liviu I. Nicolaescu
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 25, Iss 1, Pp 11-17 (2001)
We prove that the Modℤ reduction of the Reidemeister torsion of a rational homology 3-sphere is naturally a ℚ/ℤ-valued quadratic function uniquely determined by a ℚ/ℤ-constant and the linking form.
Externí odkaz:
https://doaj.org/article/a3fa25f1339f4940bfbbb27a501400aa
Autor:
Liviu I. Nicolaescu
Publikováno v:
The American Mathematical Monthly. :1-22
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::60609f2780bdabf9ab255ea463b513d3
https://doi.org/10.1080/00029890.2023.2206321
https://doi.org/10.1080/00029890.2023.2206321
Autor:
Liviu I Nicolaescu
The goal of this book is to introduce the reader to some of the most frequently used techniques in modern global geometry. Suited to the beginning graduate student willing to specialize in this very challenging field, the necessary prerequisite is a
Autor:
Liviu I. Nicolaescu
This is a state-of-the-art introduction to the work of Franz Reidemeister, Meng Taubes, Turaev, and the author on the concept of torsion and its generalizations. Torsion is the oldest topological (but not with respect to homotopy) invariant that in i
Autor:
Liviu I. Nicolaescu
Publikováno v:
Probability Theory and Related Fields. 165:235-265
We prove that a Gaussian ensemble of smooth random sections of a real vector bundle \(E\) over compact manifold \(M\) canonically defines a metric on \(E\) together with a connection compatible with it. Additionally, we prove a refined Gauss-Bonnet t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c0a2fcbb301d2569eb9325a2aa66beab
https://doi.org/10.1007/s00440-015-0630-z
https://doi.org/10.1007/s00440-015-0630-z
Autor:
Liviu I. Nicolaescu
Publikováno v:
Annals of the Alexandru Ioan Cuza University - Mathematics. 59:1-24
Denote by Znthe number of critical points of a random trigonometric polynomial of degree ≤ n We prove that as ν→∞ the expectation of Zν is asymptotic to 2ν √⅗ while its variance is asymptotic to δ∞νwhere δ∞≈ 0.35.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e655c233748546ff3249adc077a7487
https://doi.org/10.2478/v10157-012-0019-6
https://doi.org/10.2478/v10157-012-0019-6
Autor:
Liviu I. Nicolaescu
In this volume the author presents, in great detail and with many examples, a basic collection of principles, techniques, and applications needed to conduct independent research in gauge theory and its use in geometry and topology. Complete and self-
Autor:
Liviu I. Nicolaescu, Daniel Cibotaru
Publikováno v:
Transactions of the American Mathematical Society. 364:3185-3216
We investigate the Dolbeault operator on a pair of pants, i.e., an elementary cobordism between a circle and the disjoint union of two circles. This operator induces a canonical selfadjoint Dirac operator Dt on each regular level set Ct of a fixed Mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7469fa01a69535ff3bd2560741e91481
https://doi.org/10.1090/s0002-9947-2012-05476-6
https://doi.org/10.1090/s0002-9947-2012-05476-6
Autor:
Liviu I. Nicolaescu
We prove a central limit theorem concerning the number of critical points in large cubes of an isotropic Gaussian random function on a Euclidean space.
29 pages, fixed typos, improved the presentation, added references
29 pages, fixed typos, improved the presentation, added references
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fde52d5d30fa0927456dc7c1675d1203
http://arxiv.org/abs/1509.06200
http://arxiv.org/abs/1509.06200