Zobrazeno 1 - 10
of 148
pro vyhledávání: '"Michel L. Lapidus"'
Publikováno v:
Mathematics, Vol 9, Iss 6, p 591 (2021)
The Lattice String Approximation algorithm (or LSA algorithm) of M. L. Lapidus and M. van Frankenhuijsen is a procedure that approximates the complex dimensions of a nonlattice self-similar fractal string by the complex dimensions of a lattice self-s
Externí odkaz:
https://doaj.org/article/95b9e730813549c1a2f3a61051e5d876
Publikováno v:
Fractal and Fractional, Vol 2, Iss 4, p 26 (2018)
The theory of complex dimensions describes the oscillations in the geometry (spectra and dynamics) of fractal strings. Such geometric oscillations can be seen most clearly in the explicit volume formula for the tubular neighborhoods of a p-adic fract
Externí odkaz:
https://doaj.org/article/96605d8f1412426ea8d9d117ca4266aa
Autor:
Gerald W. Johnson, Michel L. Lapidus
This book provides the most comprehensive mathematical treatment to date of the Feynman path integral and Feynman's operational calculus. It is accessible to mathematicians, mathematical physicists and theoretical physicists. Including new results an
Autor:
Hafedh Herichi, Michel L Lapidus
Publikováno v:
Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications ISBN: 9789813230798
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::76f08ac5198d6801659d2759906a16bb
https://doi.org/10.1142/10728
https://doi.org/10.1142/10728
Publikováno v:
Mathematics, Vol 9, Iss 591, p 591 (2021)
Mathematics
Volume 9
Issue 6
Mathematics
Volume 9
Issue 6
The Lattice String Approximation algorithm (or LSA algorithm) of M. L. Lapidus and M. van Frankenhuijsen is a procedure that approximates the complex dimensions of a nonlattice self-similar fractal string by the complex dimensions of a lattice self-s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da2ab1f747d5d2de98caed611b20f11f
https://www.mdpi.com/2227-7390/9/6/591
https://www.mdpi.com/2227-7390/9/6/591
Publikováno v:
Discrete & Continuous Dynamical Systems - S. 12:105-117
We establish pointwise and distributional fractal tube formulas for a large class of compact subsets of Euclidean spaces of arbitrary dimensions. These formulas are expressed as sums of residues of suitable meromorphic functions over the complex dime
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8c0b885cef2b532e8eb414d92f0f9d3
https://doi.org/10.3934/dcdss.2019007
https://doi.org/10.3934/dcdss.2019007
We establish a Minkowski measurability criterion for a large class of relative fractal drums (or, in short, RFDs), in Euclidean spaces of arbitrary dimension in terms of their complex dimensions, which are defined as the poles of their associated fra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0fac05ba9a34088ba0c0cbe514344c08
https://doi.org/10.1142/9789811215537_0002
https://doi.org/10.1142/9789811215537_0002
Publikováno v:
Advances in Mathematics. 307:1215-1267
Recently, the first author has extended the definition of the zeta function associated with fractal strings to arbitrary bounded subsets $A$ of the $N$-dimensional Euclidean space ${\mathbb R}^N$, for any integer $N\ge1$. It is defined by $\zeta_A(s)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5362ffbbe1671d98164a0e5ee0dbf63b
https://doi.org/10.1016/j.aim.2016.11.034
https://doi.org/10.1016/j.aim.2016.11.034
The local theory of complex dimensions for real and $p$-adic fractal strings describes oscillations that are intrinsic to the geometry, dynamics and spectrum of archimedean and nonarchimedean fractal strings. We aim to develop a global theory of comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc2791785b12a201ad3a6af4d4c2311f
Publikováno v:
Advances in Mathematics. 385:107771
Noncommutative geometry provides a framework, via the construction of spectral triples, for the study of the geometry of certain classes of fractals. Many fractals are constructed as natural limits of certain sets with a simpler structure: for instan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93778c0f8676487bd8fcec3020fe8b80
https://doi.org/10.1016/j.aim.2021.107771
https://doi.org/10.1016/j.aim.2021.107771