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  1. We use ci to denote fixed positive real constants, whose value only depends on the dimension d, and c, c0 etc. to denote positive constants (depending only on d) whose value may change from line to line.

  2. Theorem 1.2 contrasts with a long line of Gaussian functional central limit theo-rems for both the CSRW, the VSRW and also for the discrete-time walk corresponding to the CSRW.

  3. Throughout the paper, we will use c C with or without subscripts, to denote strictly positive constants whose values are not important, and which may change from line to line.

  4. Martin Barlow: Preprints

    Martin T. Barlow: recent preprints, and some older papers. [118] M.T. Barlow. Inference for Multiple and Conditional Observers. Preprint 2024. Inference for Multiple Identical Observers. (Substantial …

  5. by including unit line segments along edges, embedded into R2 via a continuous map U U ! R2, which is given by the identity on vertices, with linear interpolation along edges. In addition, suppose the space …

  6. Martin Barlow: Graphics programs

    Graphics Programs Fast two-dimensional graphics using X Windows: mxpack.tar

  7. Since the path inside B(x00 1; r0=3) \ A1 just consists of the line segment L1 without its endpoints, the components Da and Dc are distinct. (See Remark 1 below for more details.)

  8. Throughout this paper, c and C will denote positive finite constants that only depend on the dimension d, and whose value may change from line to line, and even within a single string of inequalities.

  9. Martin Barlow: Talks and seminars

    Here are the slides of some of my talks. I have just included what is in the Tex source file -

  10. In this paper .i Levy process X will be a standard t Markov process on the line with stationary independent increments whose characteristic function takes the form