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We describe a method of solving quantum field theories using operator techniques based on the expansion of interacting fields in terms of asymptotic fields. For bound states, we introduce an asymptoti...
Partial transposition of random states and non-centered semicircular distributions
non-centered semicircular distributions math
2010/11/8
Let W be a Wishart random matrix of size d^2 times d^2, considered as a block matrix with d times d blocks. Let Y be the matrix obtained by transposing each block of W. We prove that the empirical ei...
Positive Steady States of A Prey-predator Model with Diffusion and Non-monotone Conversion Rate
A prey--predator model Steady states Existence Uniqueness Stability
2007/12/11
In this paper, we study the positive steady states of a prey--predator model with diffusion throughout and a non-monotone conversion rate under the homogeneous Dirichlet boundary condition. We obtain ...