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pro vyhledávání: '"Byun, Sung"'
Autor:
Byun, Sung-Soo, Forrester, Peter J.
This open access book focuses on the Ginibre ensembles that are non-Hermitian random matrices proposed by Ginibre in 1965. Since that time, they have enjoyed prominence within random matrix theory, featuring, for example, the first book on the subjec
Externí odkaz:
https://library.oapen.org/handle/20.500.12657/93276
We study the integrable structure and scaling limits of the conditioned eigenvector overlap of the symplectic Ginibre ensemble of Gaussian non-Hermitian random matrices with independent quaternion elements. The average of the overlap matrix elements
Externí odkaz:
http://arxiv.org/abs/2407.17935
We implement a version of conformal field theory (CFT) that gives a connection to SLE in a multiply connected domain. Our approach is based on the Gaussian free field and applies to CFTs with central charge $c \leq 1$. In this framework we introduce
Externí odkaz:
http://arxiv.org/abs/2407.08220
Autor:
Byun, Sung-Soo, Park, Seongjae
We consider $n$ eigenvalues of complex and symplectic induced spherical ensembles, which can be realised as two-dimensional determinantal and Pfaffian Coulomb gases on the Riemann sphere under the insertion of point charges. For both cases, we show t
Externí odkaz:
http://arxiv.org/abs/2405.00386
The eigenvalue probability density function of the Gaussian unitary ensemble permits a $q$-extension related to the discrete $q$-Hermite weight and corresponding $q$-orthogonal polynomials. A combinatorial counting method is used to specify a positiv
Externí odkaz:
http://arxiv.org/abs/2404.03400
We consider a planar Coulomb gas ensemble of size $N$ with the inverse temperature $\beta=2$ and external potential $Q(z)=|z|^2-2c \log|z-a|$, where $c>0$ and $a \in \mathbb{C}$. Equivalently, this model can be realised as $N$ eigenvalues of the comp
Externí odkaz:
http://arxiv.org/abs/2402.18983
Autor:
Byun, Sung-Soo, Noda, Kohei
Non-Hermitian Wishart matrices were introduced in the context of quantum chromodynamics with a baryon chemical potential. These provide chiral extensions of the elliptic Ginibre ensembles as well as non-Hermitian extensions of the classical Wishart/L
Externí odkaz:
http://arxiv.org/abs/2402.18257
Autor:
Byun, Sung-Soo, Forrester, Peter J.
The moments of the real eigenvalues of real Ginibre matrices are investigated from the viewpoint of explicit formulas, differential and difference equations, and large $N$ expansions. These topics are inter-related. For example, a third order differe
Externí odkaz:
http://arxiv.org/abs/2312.08896
Autor:
Byun, Sung-Soo, Lee, Yong-Woo
We consider the elliptic Ginibre matrices in the orthogonal symmetry class that interpolates between the real Ginibre ensemble and the Gaussian orthogonal ensemble. We obtain the finite size corrections of the real eigenvalue densities in both the gl
Externí odkaz:
http://arxiv.org/abs/2310.09823
Autor:
Byun, Sung-Soo
We consider the real eigenvalues of the elliptic Ginibre matrix indexed by the non-Hermiticity parameter $\tau \in [0,1]$, and present a Harer-Zagier type recursion formula for the even moments in the form of an $11$-term recurrence relation. For the
Externí odkaz:
http://arxiv.org/abs/2309.11185