Non-hermitian random matrix theory: Method of hermitian reduction

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Gap Probabilities in Non-Hermitian Random Matrix Theory

We compute the gap probability that a circle of radius r around the origin contains exactly k complex eigenvalues. Four different ensembles of random matrices are considered: the Ginibre ensembles and their chiral complex counterparts, with both complex (β = 2) or quaternion real (β = 4) matrix elements. For general non-Gaussian weights we give a Fredholm determinant or Pfaffian representation ...

متن کامل

Wigner surmise for Hermitian and non-Hermitian chiral random matrices.

We use the idea of a Wigner surmise to compute approximate distributions of the first eigenvalue in chiral random matrix theory, for both real and complex eigenvalues. Testing against known results for zero and maximal non-Hermiticity in the microscopic large- N limit, we find an excellent agreement valid for a small number of exact zero eigenvalues. Compact expressions are derived for real eig...

متن کامل

Correlations of eigenvectors for non-Hermitian random-matrix models.

We establish a general relation between the diagonal correlator of eigenvectors and the spectral Green's function for non-Hermitian random-matrix models in the large-N limit. We apply this result to a number of non-Hermitian random-matrix models and show that the outcome is in good agreement with numerical results.

متن کامل

New Developments in Non-hermitian Random Matrix Models

Random matrix models provide an interesting framework for modeling a number of physical phenomena, with applications ranging from atomic physics to quantum gravity 1, . In recent years, non-hermitian random matrix models have become increasingly important in a number of quantum problems 3, . A variety of methods have been devised to calculate with random matrix models. Most prominent perhaps ar...

متن کامل

Gaussian fluctuations for non-Hermitian random matrix ensembles

Consider an ensemble of N ×N non-Hermitian matrices in which all entries are independent identically distributed complex random variables of mean zero and absolute mean-square one. If the entry distributions also possess bounded densities and finite (4 + ε) moments, then Z. D. Bai [Ann. Probab. 25 (1997) 494–529] has shown the ensemble to satisfy the circular law: after scaling by a factor of 1...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Nuclear Physics B

سال: 1997

ISSN: 0550-3213

DOI: 10.1016/s0550-3213(97)00502-6