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Ana Cristina Moreira Freitas
Ana Cristina Moreira Freitas
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Annual reports
In Press
Freitas AC
,
Freitas JM
,
Magalhães MA
.
Convergence of Marked Point Processes of Excesses for Dynamical Systems
. Journal of the European Mathematical Society. In Press.
2017
Freitas AC
,
Freitas JM
,
Vaienti S
.
Extreme value laws for non stationary processes generated by sequential and random dynamical systems
. Ann. Inst. Henri Poincaré Probab. Stat.. 2017;53:1341-1370.
Azevedo D
,
Freitas AC
,
Freitas JM
,
Rodrigues FB
.
Extreme value laws for dynamical systems with countable extremal sets
. J. Stat. Phys.. 2017;167:1244-1261.
2016
Lucarini V
,
Faranda D
,
Freitas AC
,
Freitas JM
,
Holland M
,
Kuna T
, et al.
Extremes and recurrence in dynamical systems
John Wiley & Sons, Inc., Hoboken, NJ 2016.
Brito M
,
Cavalcante L
,
Freitas AC
.
Bias-corrected geometric-type estimators of the tail index
. J. Phys. A. 2016;49:214003, 30.
Azevedo D
,
Freitas AC
,
Freitas JM
,
Rodrigues FB
.
Clustering of extreme events created by multiple correlated maxima
. Phys. D. 2016;315:33-48.
Freitas AC
,
Freitas JM
,
Todd M
,
Vaienti S
.
Rare events for the Manneville–Pomeau map
. Stochastic Process. Appl.. 2016;126:3463-3479.
Brito M
,
Freitas AC
,
Freitas JM
.
Tail prepivoting for the Hill estimator
. J. Phys. A. 2016;49:194004, 12.
2015
Freitas AC
,
Freitas JM
,
Todd M
.
Speed of convergence for laws of rare events and escape rates
. Stochastic Process. Appl.. 2015;125:1653-1687.
Carvalho M
,
Freitas AC
,
Freitas JM
,
Holland M
,
Nicol M
.
Extremal dichotomy for uniformly hyperbolic systems
. Dyn. Syst.. 2015;30:383-403.
Brito M
,
Cavalcante L
,
Freitas AC
.
Modelling of extremal earthquakes
. Vol Mathematics of Energy and Climate Change Springer 2015.
2013
Freitas AC
.
Asymptotic distribution of the maximum for a chaotic economic model
.
J. da Silva L
,
Caeiro F.
,
Natário I.
,
Braumann C.A
, editors Springer 2013.
Freitas AC
,
Freitas JM
,
Todd M
.
The compound Poisson limit ruling periodic extreme behaviour of non-uniformly hyperbolic dynamics
. Comm. Math. Phys.. 2013;321:483-527.
2012
Freitas AC
,
Freitas JM
,
Todd M
.
The extremal index, hitting time statistics and periodicity
. Adv. Math.. 2012;231:2626-2665.
2011
Freitas AC
,
Freitas JM
,
Todd M
.
Statistical properties of the maximum for non-uniformly hyperbolic dynamics
. Vol Dynamics, games and science. {I} Portugal, Braga: Springer, Heidelberg 2011 (Springer Proc. Math.; vol Dynamics, games and science. {I}).
Freitas AC
,
Freitas JM
,
Todd M
.
Extreme value laws in dynamical systems for non-smooth observations
. J. Stat. Phys.. 2011;142:108-126.
2010
Brito M
,
Freitas AC
.
Consistent estimation of the tail index for dependent data
. Statist. Probab. Lett.. 2010;80:1835-1843.
Freitas AC
,
Freitas JM
,
Todd M
.
Hitting time statistics and extreme value theory
. Probab. Theory Related Fields. 2010;147:675-710.
2009
Freitas AC
.
Statistics of the maximum for the tent map
. Chaos Solitons Fractals. 2009;42:604-608.
2008
Brito M
,
Freitas AC
.
Edgeworth expansion for an estimator of the adjustment coefficient
. Insurance Math. Econom.. 2008;43:203-208.
Freitas AC
,
Freitas JM
.
Extreme values for Benedicks-Carleson quadratic maps
. Ergodic Theory Dynam. Systems. 2008;28:1117-1133.
Freitas AC
,
Freitas JM
.
On the link between dependence and independence in extreme value theory for dynamical systems
. Statist. Probab. Lett.. 2008;78:1088-1093.
2006
Brito M
,
Freitas AC
.
Weak convergence of a bootstrap geometric-type estimator with applications to risk theory
. Insurance Math. Econom.. 2006;38:571-584.
2003
Brito M
,
Freitas AC
.
Limiting behaviour of a geometric-type estimator for tail indices
. Insurance Math. Econom.. 2003;33:211-226.
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