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Entire functions for which the escaping set is a spider's web

Entire functions for which the escaping set is a spider's web

We construct several new classes of transcendental entire functions, f, such that both the escaping set, I(f), and the fast escaping set, A(f), have a structure known as a spider's web. We show that some of these classes have a degree of stability under changes in the function. We show …