Abstract
A metrical (fractal) dimension is defined by p-adic valuation of the number of covering elements. A usual fractal dimension is obtained as a sum of p-adic fractal dimensions. Metrical definitions of the dimension for quantum (fluctuating) geometry are considered. Useful inequality between the values of different definitions of dimension is proved. 12 refs.
Citation Formats
Makhaldiani, N.
On a p-Adic metrical dimension of space.
JINR: N. p.,
1991.
Web.
Makhaldiani, N.
On a p-Adic metrical dimension of space.
JINR.
Makhaldiani, N.
1991.
"On a p-Adic metrical dimension of space."
JINR.
@misc{etde_10135645,
title = {On a p-Adic metrical dimension of space}
author = {Makhaldiani, N}
abstractNote = {A metrical (fractal) dimension is defined by p-adic valuation of the number of covering elements. A usual fractal dimension is obtained as a sum of p-adic fractal dimensions. Metrical definitions of the dimension for quantum (fluctuating) geometry are considered. Useful inequality between the values of different definitions of dimension is proved. 12 refs.}
place = {JINR}
year = {1991}
month = {Dec}
}
title = {On a p-Adic metrical dimension of space}
author = {Makhaldiani, N}
abstractNote = {A metrical (fractal) dimension is defined by p-adic valuation of the number of covering elements. A usual fractal dimension is obtained as a sum of p-adic fractal dimensions. Metrical definitions of the dimension for quantum (fluctuating) geometry are considered. Useful inequality between the values of different definitions of dimension is proved. 12 refs.}
place = {JINR}
year = {1991}
month = {Dec}
}