Vicious random walkers and a discretization of Gaussian random matrix ensembles

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

Vicious Random Walkers and a Discretization of Gaussian Random Matrix Ensembles

The vicious random walker problem on a one dimensional lattice is considered. Many walkers take simultaneous steps on the lattice and the configurations in which two of them arrive at the same site are prohibited. It is known that the probability distribution of N walkers after M steps can be written in a determinant form. Using an integration technique borrowed from the theory of random matric...

متن کامل

Vicious Walkers and Random Contraction Matrices

The ensemble CUE(q) of truncated random unitary matrices is a deformation of the usual Circular Unitary Ensemble depending on a discrete non-negative parameter q. CUE(q) is an exactly solved model of random contraction matrices originally introduced in the context of scattering theory. In this article, we exhibit a connection between CUE(q) and Fisher’s randomturns vicious walker model from sta...

متن کامل

Matrix measures, random moments and Gaussian ensembles

We consider the moment space Mn corresponding to p × p real or complex matrix measures defined on the interval [0, 1]. The asymptotic properties of the first k components of a uniformly distributed vector (S1,n, . . . , Sn,n) ∗ ∼ U(Mn) are studied if n → ∞. In particular, it is shown that an appropriately centered and standardized version of the vector (S1,n, . . . , Sk,n) ∗ converges weakly to...

متن کامل

Inhomogeneous ensembles of correlated random walkers

Discrete time random walks, in which a step of random sign but constant length δx is performed after each time interval δt, are widely used models for stochastic processes. In the case of a correlated random walk, the next step has the same sign as the previous one with a probability q 6= 1 2 . We extend this model to an inhomogeneous ensemble of random walkers with a given distribution of pers...

متن کامل

Universality of random-matrix results for non-Gaussian ensembles.

We study random-matrix ensembles with a non-Gaussian probability distribution P (H) ∼ exp(−Ntr V (H)) where N is the dimension of the matrix H and V (H) is independent of N . Using Efetov’s supersymmetry formalism, we show that in the limit N → ∞ both energy level correlation functions and correlation functions of S-matrix elements are independent of P (H) and hence universal on the scale of th...

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: 2002

ISSN: 0550-3213

DOI: 10.1016/s0550-3213(01)00561-2