Articles
-
Asymptotics of the Farey fraction spin chain free
energy at the critical point, with T Prellberg, J Fiala, and P Kleban
J. Stat. Phys. 138 (2010) 447-464
-
Eigenvalue decay of operators on harmonic function spaces
(pdf), with Ch-H Chu,
Bull. London Math. Soc. 41 (2009) 903-912
-
On the Ruelle eigenvalue sequence
(pdf), with O Jenkinson,
Ergod. Th. & Dynam. Sys. 28 (2008) 1701-1711
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Explicit eigenvalue estimates for transfer operators acting on
spaces of holomorphic functions
(pdf), with O Jenkinson,
Adv. Math. 218 (2008) 902-925
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Resolvent estimates for operators belonging to exponential classes
(pdf),
Integr. Equ. Oper. Theory 61 (2008) 21-43
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Explicit a priori bounds on transfer operator eigenvalues
(pdf), with O Jenkinson,
Comm. Math. Phys.
276 (2007) 901-905
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Invariant measures for real analytic expanding maps
(pdf), with O Jenkinson,
J. London Math. Soc. 75 (2007) 343-368
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Estimates
for norms of resolvents and an application to the perturbation of
spectra
(pdf)
(ps)
(dvi),
Math. Nachr. 267 (2004) 3-11
- On the existence of dynamical
systems with exponentially decaying collision operators
(pdf)
(ps)
(dvi), with PV Coveney,
J. Phys. A: Math. Gen. 34 (2001) 4585-4599
- Resonances of dynamical systems and Fredholm-Riesz operators on
rigged Hilbert spaces
(pdf)
(ps)
(dvi), with I Antoniou and Z
Suchanecki,
Computers
Math. Appl. 34 (1997) 95-102
- Rigged Hilbert spaces for chaotic dynamical systems
(pdf)
(ps)
(dvi),
with I Antoniou, Z Suchanecki, and S Tasaki,
J. Math. Phys. 37
(1996) 5837-5847
- On the discrete time version of the Brussels formalism
(pdf)
(ps)
(dvi),
with PV Coveney,
J. Phys. A: Math. Gen. 27 (1994)
7939-7955
Theses
-
Spectral
Analysis of Dynamical
Systems
(pdf)
(ps)
(dvi),
PhD
dissertation, University of Cambridge
-
On the
discrete
time version
of the Brussels formalism
(pdf)
(ps)
(dvi),
MPhil dissertation, University of Cambridge
last updated: 29 September 2010 (OFB)