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regularly varying function.

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Renormalization group of and convergence to the LISDLG process
Endre Iglói
Journal:

ESAIM: Probability and Statistics / Volume 8 / August 2004

Published online by Cambridge University Press:

15 September 2004, pp. 102-114

Print publication:

August 2004
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The LISDLG process denoted by J(t) is defined in Iglói and Terdik [ESAIM: PS7 (2003) 23–86] by afunctional limit theorem as the limit of ISDLG processes. This paper gives amore general limit representation of J(t). It is shown that process J(t)has its own renormalization group and that J(t) can be represented as thelimit process of the renormalization operator flow applied to the elements ofsome set of stochastic processes. The latter set consists of IGSDLG processeswhich are generalizations of the ISDLG process.