Thermodynamics of photons on fractals

H. Weyl, ÒDas asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen”, Math. Ann. 71

1912

Earlier work this paper cites.

R. Kubo, ”Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems”, Jour. Phys. Soc. Japan 12

1959

Earlier work this paper cites.

M. Kac, “Can one hear the shape of a drum?”, Amer. Math. Monthly 73

1966

Earlier work this paper cites.

H.P. Baltes and E.R. Hilf, ” Spectra of finite systems”

1976

Earlier work this paper cites.

J. S. Dowker and G. Kennedy, “Finite temperature and boundary effects in static space-times”, J. Phys. A 11

1978

Earlier work this paper cites.

M.V. Berry, “Distribution of modes in fractal resonators”, in: Structural stability in physics

1979

Earlier work this paper cites.

E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics I

1980

Earlier work this paper cites.

S. Alexander and R. Orbach, “Density of States on fractals: fractons”, J. Phys. Lett. 43

1983

Cited alongside, same era.

M. Kohmoto, B. Sutherland, K. Iguchi, “Localization of optics: Quasiperiodic media”, Phys. Rev. Lett. 58

Original

1989

Cited alongside, same era.

E. Elizalde et al, Zeta Regularization Techniques With Applications

1994

Cited alongside, same era.

J. Kigami, Analysis on Fractals

2001

Cited alongside, same era.

K. A. Okoudjou and R. S. Strichartz, “Weak uncertainty principles on fractals”, J. Fourier Anal. Appl. 11

2005

Cited alongside, same era.

V. Knizhnik, A. Polyakov, A. B. Zamolodchikov, “Fractal structure of 2d-quantum gravity,” Mod. Phys. Lett. A 3

A. Teplyaev, “Spectral zeta functions of fractals and the complex dynamics of polynomials”, Trans. Amer. Math. Soc. 359

Original

2008

Later among the works it cites.

G. Derfel, P. Grabner and F. Vogl, “The zeta function of the Laplacian on certain fractals”, Trans. Amer. Math. Soc. 360

2008

Later among the works it cites.

E. Akkermans, G. V. Dunne and A. Teplyaev, “Physical Consequences of Complex Dimensions of Fractals”, Europhys. Lett. 88

Original

2009

Later among the works it cites.

A. Allan, M. Barany and R. S. Strichartz, “Spectral operators on the Sierpinski gasket I”, Complex Var. Elliptic Equ. 54

2009

Later among the works it cites.

W. Arendt et al, “Weyl’s Law: Spectral Properties of the Laplacian in Mathematics and Physics”, in Mathematical Analysis of Evolution, Information, and Complexity