Research papers - Nicolai Haydn

N Haydn and G Park: Higher Order Return Times for \phi-Mixing Measures; USC preprint
N Haydn: Return times distribution of expanding maps; USC preprint
L Amorim, N Haydn and S Vaienti: Quenched limiting entry distributions for random expanding maps with null targets; Stochastic Processes and their Applications, 179 (2025), p. 104511
S Gallo, N Haydn and S Vaienti: Number of Visits in Arbitrary Sets for $\phi$-mixing Dynamics; Ann. Inst. H. Poincare Probab. Statist. 60(2), 1150–1187 (2024)
N Haydn and M Nicol: Erdös-Renyi laws for exponentially and polynomially mixing dynamical systems
C Davis, N Haydn and F Yang: Escape rate and conditional escape rate from a probabilistic point of view; Annales Henri Poincare, 22, 2195–2225 (2021)
J Atnip, N Haydn and S Vaienti: Extreme Value Theory with Spectral Techniques: Application to a Simple Attractor
N Haydn and S Vaienti: Limiting Entry Times Distribution for Arbitrary Null Sets; Comm. Math. Phys. 378(4), (2020)
N Haydn and F Yang: Local Escape Rates for φ-mixing Dynamical Systems; Ergod. Th. & Dynam. Sys. Vol. 40 (10), p.2854–2880 (2020).
N Haydn, J Rousseau and F Yang: Exponential Law for Random Maps on Compact Manifolds; Nonlinearity, 33(12), 6760–6789 (2020)
N Haydn and F Yang: A Derivation of the Poisson Law for Returns of Smooth Maps with Certain Geometrical Properties; in Contemporary Mathematics Proceedings in memoriam Chernov 2017
N Haydn and M Todd: Return times at periodic points in random dynamics; Nonlinearity 30(1) (2017), 73–89
N Haydn, M Nicol, A Török and S Vaienti: Almost sure invariance principle for sequential and non-stationary dynamical systems; Transactions of the AMS, 369(8), 5293–5316, (2017)
N Haydn and F Yang: Entry times distribution for dynamical balls on metric spaces; J. Stat. Phys. (2017) DOI: 10.1007/s10955-017-1745-7.
N Haydn and F Yang: Entry times distribution for mixing systems; J. Stat. Phys. (2016) DOI 10.1007/s10955-016-1487-y.
N Haydn and K Wasilewska: Limiting distribution and error terms for the number of visits to balls in non-uniformly hyperbolic dynamics systems; Disc. Cont. Dynam. Syst. 36(5) (2106), 2585–2611.
J M Freitas, N Haydn and M Nicol: Convergence of Rare Events Point Processes to the Poisson Process for Planar Billiards; Nonlinearity 27(7) (2014), 1669–1687.
N Haydn and M Kupsa: Example of a non-standard Extremal Values Law; Ergod. Th. & Dynam. Syst. 35(6) (2015), 1902–1912.
N Haydn: Entry and Return Times Distribution; Dynamical Systems 28(3) (2013), 333–353.
N Haydn, N Winterberg and R Zweimüller: Return-times statistics, Hitting-time statistic and Inducing; BIRS Proceedings 2014.
N Haydn: The Almost Sure Invariance Principle for Beta-Mixing measures; J. Stat. Phys. 159(2) (2015), 231–254.
C Gupta, N Haydn, M Ko and A Rada: Entrance Time Convergence and Entropy; Stoch. Dynam. 15(4) (2015).
N Haydn, M Nicol, S Vaienti and L Zhang: Central Limit Theorems for the shrinking target problem; J. Stat Phys. 153 (2013), 864–887.
C Gupta and N Haydn: Statistical properties of coupled expanding maps on a lattice with general infinite range couplings and Hölder densities
N Haydn, M Nicol, T Persson and S Vaienti: A note on the Borel-Cantelli lemmas for non-uniformly hyperbolic dynamical systems; Erg. Th. & Dynam. Syst.33(2) (2013), 475–498.
N Haydn: Phase transitions in one-dimensional subshifts: Disc. Cont. Dynam. Syst. 33(5) (2013), 1965–1973.
G Cristadoro, N Haydn, P Marie and S Vaienti: Statistical properties of intermittened maps with unbounded derivative; Nonlinearity 23 (2010), 1071–1095.
N Haydn and Y Psiloyenis: Return times distribution for Markov towers with decay of correlations; Nonlinearity 27(6) (2014), 1323–1349.
N Haydn and S Vaienti: The Rényi Entropy and the Large Deviation of Short Return Times; Ergod. Th. & Dynam. Syst. 30 (2010), 159–179.
N Haydn: The Central Limit Theorem for uniformly mixing systems; Stochastics and Dynamics 12(4) (2012).
N Haydn, E Lunedei and S Vaienti: Averaged number of visits; Chaos 17 (2007).
N Haydn and S Vaienti: The compound Poisson distribution and return times in dynamical systems; Prob. Th. & Rel. Fields 144 (2009), 517–542.
N Haydn, E Lunedei, L Rossi, G Turchetti and S Vaienti: Multiple returns for some regular and mixing maps; Chaos 15(3) (2005).
P Ferraro, N Haydn and S Vaienti: Entropy fluctuations for parabolic maps; Nonlinearity 16 (2003), 1203–1218.
N Haydn, Y Lacroix and S Vaienti: Hitting and return times in ergodic dynamical systems; Ann. Prob. 33 (2005), 2043–2050.
N Haydn: The distribution of the measure of cylinder sets for non-Gibbsian measures;in Complex Dynamics and Related Topics 2004, 147–162.
E Gutkin and N Haydn: Generalised polygon exchanges with zero topological entropy; Proceedings of Workshop on Dynamical Systems, University of Maryland 1993, 12–18.
N Haydn and S Vaienti: The Central Limit Theorem for (\phi,f)-mixing systems; Stoch. & Dynamics 4 (2004), 595–627.
N Haydn and S Vaienti: The limiting distribution and error terms for return times of dynamial systems; Disc. Cont. Dynam. Syst. 10(3) (2004), 589–616.
N Haydn: Convergence of the natural approximatipns of monotone interval maps; Chaos 2004.
N Haydn: Generalised Gibbs states for expanding maps
N Haydn, Luevano, G Mantica and S Vaienti: Multifractal Properties of Return Time Statistics; Phys. Rev. Letters 88 (2002).
N Haydn: The Distribution of the First Return time for Rational Maps; J. Stat. Phys. 94 (1999), 1027–1036.
N Haydn: Statistical Properties of Equilibrium States for Rational Maps; Ergod. Th. & Dynam. Syst. 20 (2000), 1371–1390.
N Haydn: Convergence of the Transfer Operator for Rational Maps; Ergod. Th. & Dynam. Syst. 19 (1999), 657–669.
N Haydn and S Isola: Parabolic rational maps; Journal LMS 63 (2001), 673–689.
E Gutkin and N Haydn: Entropy of some generalised polygon exchange maps and polygonal billiards; Ergod. Th. & Dynam. Syst. 17 (1997).
E Gutkin and N Haydn: The Topological Entropy of Generalised Polygon Exchanges; Bull. AMS 32 (1995), 50–56.
N Haydn: Classification of Gibbs’ states on Smale spaces and one-dimensional lattice systems; Nonlinearity 7 (1994), 345–366.
N Haydn: Canonical product structure of equilibrium states; Random & Computational Dynamics 2 (1994), 79–96.
N Haydn: Gibbs measures for Axiom A flows; J Stat. Phys. 72 (1993), 309–327.
N Haydn and D Ruelle: Equivalence of Gibbs and Equilibrium States for Homeomorphism Satisfying Expansiveness and Specification; Commun. Math. Phys 148 (1992), 155–167.
N Haydn: The product structure on finitely presented systems; Israel J. Math. 73 (1991), 343–356.
N Haydn: Gibbs Functionals of Subshifts; Commun. Math. Phys. 134 (1990), 217–236.
N Haydn: Meromorphic extension of the zeta function for Axiom A flows; Ergod. Th. & Dynam. Syst. 10 (1990), 347–360.
N Haydn: On invariant curves under renormalisation; Nonlinearity 3 (1990), 887–912.
N Haydn: On Gibbs and Equilibrium states; Ergod. Th & Dynam. Syst. 7 (1987), 119–132.