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We develop a new variant of the recently introduced stochastictransfer-matrix DMRG which we call stochastic light-cone corner-transfer-matrixDMRG (LCTMRG). It is a numerical method to compute dynamic properties ofone-dimensional stochastic processes. As suggested by its name, the LCTMRG is amodification of the corner-transfer-matrix DMRG (CTMRG), adjusted by anadditional causality argument. As an example, two reaction-diffusion models,the diffusion-annihilation process and the branch-fusion process, are studiedand compared to exact data and Monte-Carlo simulations to estimate thecapability and accuracy of the new method. The number of possible Trotter stepsof more than 10^5 shows a considerable improvement to the old stochastic TMRGalgorithm.Comment: 15 pages, uses IOP styl

Stochastic light-cone CTMRG: a new DMRG approach to stochastic models