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20052020
most citedBlack holes, gravitational waves and fundamental physics: a roadmap

742 citations

Showing math-phShow all

7 papers · 1 filter

math-ph2016★ 7 cited

Minkowski measurability criteria for compact sets and relative fractal drums in Euclidean spaces

Michel L. Lapidus, Goran Radunović, Darko Žubrinić

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 comp…

math-ph2016★ 6 cited

Zeta Functions and Complex Dimensions of Relative Fractal Drums: Theory, Examples and Applications

Michel L. Lapidus, Goran Radunović, Darko Žubrinić

In 2009, the first author introduced a new class of zeta functions, called `distance zeta functions', associated with arbitrary compact fractal subsets of Euclidean spaces of arbit…

math-ph2015★ 9 cited

Complex dimensions of fractals and meromorphic extensions of fractal zeta functions

Michel L. Lapidus, Goran Radunović, Darko Žubrinić

We study meromorphic extensions of distance and tube zeta functions, as well as of geometric zeta functions of fractal strings. The distance zeta function $ζ_A(s):=\int_{A_δ} d(x,A…

math-ph2015★ 19 cited

Distance and tube zeta functions of fractals and arbitrary compact sets

Michel L. Lapidus, Goran Radunović, Darko Žubrinić

Recently, the first author has extended the definition of the zeta function associated with fractal strings to arbitrary bounded subsets of the -dimensional Euclidean space…

math-ph2014★ 8 cited

Fractal tube formulas and a Minkowski measurability criterion for compact subsets of Euclidean spaces

Michel L. Lapidus, Goran Radunović, Darko Žubrinić

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 su…

math-ph2011★ 36 cited

Kappa-Minkowski spacetime, Kappa-Poincaré Hopf algebra and realizations

Domagoj Kovačević, Stjepan Meljanac

We unify kappa-Minkowki spacetime and Lorentz algebra in unique Lie algebra. Introducing commutative momenta, a family of kappa-deformed Heisenberg algebras and kappa-deformed Poin…

math-ph2011★ 4 cited

A General formulation of the Moyal and Voros products and its physical interpretation

Laure Gouba, Domagoj Kovacevic, Stjepan Meljanac

A unifying perspective on the Moyal and Voros products and their physical meanings has been recently presented in the literature, where the Voros formulation admits a consistent ph…