3 citations · 6 across the 6 of their papers we have counts for
8 papers
Zeros of the independence polynomial on recursive sequences of graphs
Mikhail Hlushchanka, Han Peters
We study the hard-core model on recursively defined sequences of graphs with a fixed number of labeled vertices in each graph. The next graph in the sequ…
Quasi-visual approximations
Mario Bonk, Mikhail Hlushchanka, Daniel Meyer
We develop the foundations of the theory of quasi-visual approximations of bounded metric spaces. Roughly speaking, these are sequences of covers of a given space for which the dia…
Profinite geometric iterated monodromy groups of postcritically finite polynomials in degree 3
Mikhail Hlushchanka, Olga Lukina, Dean Wardell
In this article, we study the properties of profinite geometric iterated monodromy groups associated to polynomials. Such groups can be seen as generic representations of absolute…
Thurston's pullback map, invariant covers, and the global dynamics on curves
Mario Bonk, Mikhail Hlushchanka, Russell Lodge
We consider rational maps on the Riemann sphere with an -invariant set of four marked points containing the postcrit…
Critically fixed Thurston maps: classification, recognition, and twisting
Mikhail Hlushchanka, Nikolai Prochorov
An orientation-preserving branched covering map is called a critically fixed Thurston map if fixes each of its critical points. It was recently shown that…
A canonical decomposition of postcritically finite rational maps and their maximal expanding quotients
Dzmitry Dudko, Mikhail Hlushchanka, Dierk Schleicher
We provide a natural canonical decomposition of postcritically finite rational maps with non-empty Fatou sets based on the topological structure of their Julia sets. The building b…
Eliminating Thurston obstructions and controlling dynamics on curves
Mario Bonk, Mikhail Hlushchanka, Annina Iseli
Every Thurston map on a -sphere induces a pull-back operation on Jordan curves , where is the postcritical se…
Exponential growth of some iterated monodromy groups
Mikhail Hlushchanka, Daniel Meyer
Iterated monodromy groups of postcritically-finite rational maps form a rich class of self-similar groups with interesting properties. There are examples of such groups that have i…