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Talagrand's proof of the sufficiency of existence of a majorizing measure for the sample boundedness of processes with bounded increments used a contraction from a certain ultrametric space. We give a short proof of existence of such an ultrametric using admissible sequences of nets.
Witold Bednorz. "Majorizing Measures and Ultrametric Spaces." Bulletin of the Polish Academy of Sciences. Mathematics 60.1 (2012): 91-100. <http://eudml.org/doc/281334>.
@article{WitoldBednorz2012, abstract = {Talagrand's proof of the sufficiency of existence of a majorizing measure for the sample boundedness of processes with bounded increments used a contraction from a certain ultrametric space. We give a short proof of existence of such an ultrametric using admissible sequences of nets.}, author = {Witold Bednorz}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, keywords = {sample boundedness; majorizing measure; ultrametric}, language = {eng}, number = {1}, pages = {91-100}, title = {Majorizing Measures and Ultrametric Spaces}, url = {http://eudml.org/doc/281334}, volume = {60}, year = {2012}, }
TY - JOUR AU - Witold Bednorz TI - Majorizing Measures and Ultrametric Spaces JO - Bulletin of the Polish Academy of Sciences. Mathematics PY - 2012 VL - 60 IS - 1 SP - 91 EP - 100 AB - Talagrand's proof of the sufficiency of existence of a majorizing measure for the sample boundedness of processes with bounded increments used a contraction from a certain ultrametric space. We give a short proof of existence of such an ultrametric using admissible sequences of nets. LA - eng KW - sample boundedness; majorizing measure; ultrametric UR - http://eudml.org/doc/281334 ER -