Zobrazeno 1 - 10
of 13
pro vyhledávání: '"60B20, 60D05"'
Autor:
Nicolaescu, Liviu I.
We use the Kac-Rice formula to compute the Mehta integral describing the normalization constant arising in the statistics of the Gaussian Orthogonal Ensemble.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/2408.06203
Autor:
Lemoine, Thibaut
We study determinantal point processes whose correlation kernel is the Bergman kernel of a high power of a positive Hermitian holomorphic line bundle over a compact complex manifold. We construct such processes in analogy to the orthogonal ensembles
Externí odkaz:
http://arxiv.org/abs/2211.06955
Autor:
Eichelsbacher, Peter, Knichel, Lukas
The aim of this paper is to give fine asymptotics for random variables with moments of Gamma type. Among the examples we consider are random determinants of Laguerre and Jacobi beta ensembles with varying dimensions (the number of observed variables
Externí odkaz:
http://arxiv.org/abs/1710.06484
Autor:
Nicolaescu, Liviu I.
We investigate certain families $X^\hbar$, $0<\hbar \ll 1$, of Gaussian random smooth functions on the $m$-dimensional torus $\mathbb{T}^m_\hbar:=\mathbb{R}^m/(\hbar^{-1}\mathbb{Z} )^m$. We show tha,t for any cube $B\subset \mathbb{R}^m$ of size $<1/
Externí odkaz:
http://arxiv.org/abs/1511.04965
Autor:
Nicolaescu, Liviu I.
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.
Comment: 29 pages, fixed typos, improved the presentation, added references
Comment: 29 pages, fixed typos, improved the presentation, added references
Externí odkaz:
http://arxiv.org/abs/1509.06200
Autor:
Rivin, Igor
We describe extensive computational experiments on spectral properties of random objects - random cubic graphs, random planar triangulations, and Voronoi and Delaunay diagrams of random (uniformly distributed) point sets on the sphere). We look at bu
Externí odkaz:
http://arxiv.org/abs/1410.6771
Autor:
Muratov, Anton, Zuyev, Sergei
Consider a stationary renewal point process on the real line and divide each of the segments it defines in a proportion given by \iid realisations of a fixed distribution $G$ supported by [0,1]. We ask ourselves for which interpoint distribution $F$
Externí odkaz:
http://arxiv.org/abs/1308.3351
Autor:
Thibaut Lemoine
We study determinantal point processes whose correlation kernel is the Bergman kernel of a high power of a positive Hermitian holomorphic line bundle over a compact complex manifold. We construct such processes in analogy to the orthogonal ensembles
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3b8dc83f482a240efdc80e24d61282f
Autor:
Peter Eichelsbacher, Lukas Knichel
The aim of this paper is to give fine asymptotics for random variables with moments of Gamma type. Among the examples, we consider random determinants of Laguerre and Jacobi beta ensembles with varying dimensions (the number of observed variables and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0b6a8884637524355b3f40ff6bd8f5e
http://arxiv.org/abs/1710.06484
http://arxiv.org/abs/1710.06484
Autor:
Sergei Zuyev, Anton Muratov
Publikováno v:
Bernoulli 23, no. 1 (2017), 539-551
Consider a stationary renewal point process on the real line and divide each of the segments it defines in a proportion given by \iid realisations of a fixed distribution $G$ supported by [0,1]. We ask ourselves for which interpoint distribution $F$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::31c781ac238f08c54b434014db13389b
http://projecteuclid.org/euclid.bj/1475001365
http://projecteuclid.org/euclid.bj/1475001365