Luka Boc Thaler

activity

20152026

C^{2}

without holomorphic functions

6 citations · 6 across the 4 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.CV2026

On the rank-one limit sets for maps in the constant-Jacobian shear group of $C^{2}$

Luka Boc Thaler

Let $S_{c}$ be the subgroup of $A u t (C^{2})$ generated by affine maps and shear automorphisms with constant Jacobian. We determine the possible conformal types of the…

math.CV2026

Complex structures of non-autonomous basins

Luka Boc Thaler

We study non-autonomous basins of $F_{j}$ automorphisms of $C^{2}$ satisfying $a_{j} ∥ p ∥ \leq ∥ F_{j} (p) ∥ \leq b_{j} ∥ p ∥ (\forall p \in B)$ where $0 < a_{j} < b_{j} < b < 1$ . We s…

math.CV2026

Spiral Domains and Lavaurs-Type Renormalization for Parabolic Germs of $C^{2}$

Luka Boc Thaler

We study the local dynamics of holomorphic germs $P : C^{2} \to C^{2}$ tangent to the identity whose 2-jet at the origin is $(J_{0}^{2} P) (z, w) = (z - z^{2}, w + w^{2} + b z^{2})$ . We prove th…

On the rank-one limit sets for maps in the constant-Jacobian shear group of C2

Complex structures of non-autonomous basins

Spiral Domains and Lavaurs-Type Renormalization for Parabolic Germs of C2

On the rank-one limit sets for maps in the constant-Jacobian shear group of $C^{2}$

Spiral Domains and Lavaurs-Type Renormalization for Parabolic Germs of $C^{2}$