Zobrazeno 1 - 10
of 412
pro vyhledávání: '"Burda Z"'
Publikováno v:
Condensed Matter Physics, 2024, Vol. 27, No. 3, 33601
We discuss the distribution of partition function zeros for the grand-canonical ensemble of the zeta-urn model, where tuning a single parameter can give a first or any higher order condensation transition. We compute the locus of zeros for finite-siz
Externí odkaz:
http://arxiv.org/abs/2312.01806
Akademický článek
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Publikováno v:
Phys. Rev. E 88, 022107 (2013)
Ensembles of isotropic random matrices are defined by the invariance of the probability measure under the left (and right) multiplication by an arbitrary unitary matrix. We show that the multiplication of large isotropic random matrices is spectrally
Externí odkaz:
http://arxiv.org/abs/1303.5360
Autor:
Akemann, G., Burda, Z.
Publikováno v:
J. Phys. A: Math. Theor. 45 (2012) 465201
We consider the product of n complex non-Hermitian, independent random matrices, each of size NxN with independent identically distributed Gaussian entries (Ginibre matrices). The joint probability distribution of the complex eigenvalues of the produ
Externí odkaz:
http://arxiv.org/abs/1208.0187
Publikováno v:
Phys. Rev. E 86, 061137 (2012)
We show that the limiting eigenvalue density of the product of n identically distributed random matrices from an isotropic unitary ensemble (IUE) is equal to the eigenvalue density of n-th power of a single matrix from this ensemble, in the limit whe
Externí odkaz:
http://arxiv.org/abs/1205.1625
Publikováno v:
Phys. Rev. D 86, 104015 (2012)
The physical phase of Causal Dynamical Triangulations (CDT) is known to be described by an effective, one-dimensional action in which three-volumes of the underlying foliation of the full CDT play a role of the sole degrees of freedom. Here we map th
Externí odkaz:
http://arxiv.org/abs/1204.1356
Autor:
Ochab, J. K., Burda, Z.
Publikováno v:
Phys. Rev. E 85, 021145 (2012)
We provide analytical solutions for two types of random walk: generic random walk (GRW) and maximal entropy random walk (MERW) on a Cayley tree with arbitrary branching number, root degree, and number of generations. For MERW, we obtain the stationar
Externí odkaz:
http://arxiv.org/abs/1201.1420
Publikováno v:
Proc. Natl. Acad. Sci. U.S.A. 108(42), 17263-17268 (2011)
Gene regulatory networks arise in all living cells, allowing the control of gene expression patterns. The study of their topology has revealed that certain subgraphs of interactions or "motifs" appear at anomalously high frequencies. We ask here whet
Externí odkaz:
http://arxiv.org/abs/1104.4511
Publikováno v:
Phys. Rev. E 84, 061125 (2011)
We derive a multiplication law for free non-hermitian random matrices allowing for an easy reconstruction of the two-dimensional eigenvalue distribution of the product ensemble from the characteristics of the individual ensembles. We define the corre
Externí odkaz:
http://arxiv.org/abs/1104.2452
Publikováno v:
Acta Phys.Polon.B42:939-985,2011
We consider a product of an arbitrary number of independent rectangular Gaussian random matrices. We derive the mean densities of its eigenvalues and singular values in the thermodynamic limit, eventually verified numerically. These densities are enc
Externí odkaz:
http://arxiv.org/abs/1103.3964