Decay of correlations and the central limit theorem for meromorphic maps

By T. Dinh, N. Sibony. 2004

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Let f be a dominant meromorphic self‐map of large topological degree on a compact Kähler manifold. We give a new construction of the equilibrium measure μ of f and prove that μ is exponentially mixing. As a consequence, we get the central limit theorem in particular for Hölder‐continuous observables, but also for noncontinuous observables. © 2005 Wiley Periodicals, Inc.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/495597438785299b94aa4f43306d92b3d6b3ad55

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In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Density of positive closed currents, a theory of non-generic intersections (2012, methodology): “ is not given by an L2 loc form on W1 ∩ W2, its ⋆-norm is inﬁnite. Remark 2.3. A version of the ⋆-norm was introduced and used by the authors for positive closed currents on compact Ka¨hler manifolds [15, 18, 19], see also Vigny [34]. We can easily extend it to currents of bidegree (p,p), (p,0) or (”
Exponential estimates for plurisubharmonic functions and stochastic dynamics (2008, unknown): “C V ] Classification AMS 2000: 32U, 37F. Keywords: Monge-Ampère measure, Green measure, exponential mixing, central limit theorem, large deviations theorem.”