We classify bimeromorphic self-maps f: X [inline-graphic xmlns: xlink=" http://www. w3.
org/1999/xlink" xlink: href=" 01i"/] of compact Kähler surfaces X in terms of their actions f*: H …

We study pre-images under the iterates Pk of a rational (not necessarily holomorphic)
mapping P of ℙn. We show, assuming a condition on the topological degree λ of P, that …

We study the dynamics of a bimeromorphic map X→ X, where X is a compact complex
Kähler surface. Under a natural geometric hypothesis, we construct an invariant probability …

Several integrability tests for discrete equations will be reviewed. All tests considered can be
applied directly to a given discrete equation and do not rely on the a priori knowledge of the …

Given a birational self-map of a compact complex surface, it is useful to find an invariant
measure that relates the dynamics of the map to its action on cohomology. Under a very …

2. Making H~ non mappings well-defined 3. Closures of graphs and sequence spaces 4.
The homology of X* 5. Real-oriented blow-ups 6. Real-oriented blow-ups for Hdnon …

Hénon Maps: A List of Open Problems | Arnold Mathematical Journal Skip to main content
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We review the use of techniques of positive currents for the study of parameter spaces of
one-dimensional holomorphic dynamical systems (rational mappings on P1 or subgroups of …

Motivated by the study of the Kahan–Hirota–Kimura discretisation of the Euler top, we
characterise the growth and integrability properties of a collection of elements in the …

In this work I discuss briefly the calculation of the algebraic entropy for systems of quad
equations. In particular, I observe that since systems of multilinear equations can have …