The Theory of Scale Functions for Spectrally Negative Lévy Processes

  title={The Theory of Scale Functions for Spectrally Negative L{\'e}vy Processes},
  author={Alexey Kuznetsov and Andreas E. Kyprianou and V{\'i}ctor Manuel Hern{\'a}ndez Rivero},
The purpose of this review article is to give an up to date account of the theory and applications of scale functions for spectrally negative Lévy processes. Our review also includes the first extensive overview of how to work numerically with scale functions. Aside from being well acquainted with the general theory of probability, the reader is assumed to have some elementary knowledge of Lévy processes, in particular a reasonable understanding of the Lévy–Khintchine formula and its… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 101 references

Numerical Methods for Laplace Transform Inversion, vol

  • A. M. Cohen
  • 5 of Numerical Methods and Algorithms (Springer…
  • 2007
Highly Influential
7 Excerpts

On a quadrature formula for trigonometric integrals

  • L.N.G. Filon
  • Proc. R. Soc. Edinb
  • 1928
Highly Influential
20 Excerpts

Non)differentiability and asymptotics for renewal densities of subordinators

  • L. Döring, M. Savov
  • Electron. J. Probab. 16,
  • 2011
Highly Influential
4 Excerpts

Swarztrauber, The fractional Fourier transform and applications

  • P.N.D.H. Bailey
  • SIAM Rev. 33,
  • 1991
Highly Influential
4 Excerpts

Vondraček, in Potential Theory of Subordinate Brownian Motion, ed

  • Z. R. Song
  • 1980
Highly Influential
6 Excerpts

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